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Experimental Study of the Lubrication Mechanism of Micro-Spherical Solid Particles between Flat Surfaces

: In this study, a novel apparatus was designed and constructed to perform micro-sliding friction experiments while simultaneously observing the motion of micro-sized spheres using a visual inspection technique. The apparatus comprises a precision elevation stage that is used to elevate a ﬂat mica disk, with the microspheres on top of it, to bring it into contact with a stationary surface and apply low loads on the contact. During micro-sliding experiments, it was found that the velocity of the center of the microsphere was half the velocity of the mica disk; in addition, friction force measurements revealed a very low coefﬁcient of friction (about 0.03), indicating the rolling motion of the microspheres. The main outcome of our study was the veriﬁcation of the hypothesis that spherical particles can be used to avoid direct contact among ﬂat surfaces and can also introduce rolling motion within the system. The pure rolling motion of the microspheres sandwiched between a stationary and a moving ﬂat surface supports the idea of adding rigid spherical particles to oil lubricants to further reduce friction and wear in the system by performing as micro and nanoscale ball bearings.


Introduction
Most mechanical systems involve energy losses due to the presence of friction and wear between moving surfaces. Commonly, liquid lubricants are used to lower wear and frictional losses by minimizing direct surface contact. Nevertheless, high frictional force and wear loss arises in boundary and mixed lubrication regions since fluid lubricant film thickness is less than 1 µm [1]. In boundary and mixed lubrication regions, asperities interaction happens even with the existence of a liquid lubricant and, as a result, high wear and friction occur. Therefore, numerous research studies have been dedicated to advance the tribological properties of existing liquid lubricants.
Recent research reports have pointed to the promising tribological results of nanoparticles when combined with 2D materials such as graphene. It has been shown that metal nanoparticle/graphene nanocomposites can be utilized as superior lubricant additive materials as well as solid lubricants or as film lubrication because of their exceptional self-lubricating properties [2]. Shi and Jiang [3] indicated that hybrid graphene and copper nanostructures can enhance the tribological performance when added to solid lubricant coatings. Furthermore, it has been shown that the combination of metal nanoparticles with two-dimensional nanosheets is an efficient method to improve the tribological properties of polymers [4].
Several studies have demonstrated that adding rigid nanoparticles to a liquid lubricant can result in decreasing friction force and wear damage in the boundary and mixed lubrication regions [5][6][7][8]. Previous experimental works have demonstrated that various forms of solid particles, of sizes ranging from 1 up to 50,000 nm, could be employed as lubricant additives for better tribological performance [9][10][11]. However, there is a lack of complete knowledge of the lubrication technique of these solid nanoparticles [12]. Various boundary and mixed lubrication regions compared to the hydrodynamic region [17,18]. However, as a result of the complexity of physical and chemical reactions in the friction process, there has not been enough conclusive evidence to explain the lubrication mechanisms of micro-and nano-sized particles [36]. Therefore, an experimental investigation of the motion of nano-and micro-sized solid particles can help identify the lubrication mechanism of these particles when added to liquid lubricants.
In the present work, the lubrication mechanism of micro-sized solid spherical particles placed between two flat surfaces was experimentally investigated. An optical micro-sliding instrument was built to perform a micro-sliding movement of one of the flat surfaces while in situ to observe the motion of the micro-particles. This instrument comprises a precision elevation stage to lift one of the flat surfaces, with microspheres on top of it, until it comes in contact with the upper stationary surface. Afterward, a piezoelectric actuator was utilized to move the lower flat surface with the microspheres against the fixed upper flat surface at a low speed. Concurrently, the motion of the micro-sized spheres during the linear movement of the flat surface was observed using a visual inspection technique. The obtained results proved the pure rolling motion of the microspheres in the middle of stationary and moving surfaces. This result supports that micron-sized spherical particles can be used as ball bearings at the microscale to further reduce friction and wear, and advance the tribological performance of liquid lubricants.

Description of the Optical Micro-Sliding Instrument
In the current study, an optical micro-sliding (OMS) instrument was utilized to experimentally examine the movement of micro-sized spheres placed in between two flat disks. The OMS apparatus is a modified version of the optical micro-apparatus used for adhesion and friction measurements in a previous investigation [37]. The modification involved substituting the steel sphere positioned at the free end of a cantilever beam arrangement by a flat mica disk. The mica disk was selected due to its atomically smooth surface (arithmetic mean (R a ) surface roughness under 10 nm).
The schematic and photograph of the OMS instrument are shown in Figure 1. The OMS apparatus comprises a high-precision elevation stage for the vertical drive of the mica disk. The high accuracy elevation stage (ES-100, by Physik Instrumente, Karlsruhe, Germany) has a height travel range from 0 to 26 mm with a 0.2 µm resolution. A micro-step control system (SMC Pollux, by Physik Instrumente, Karlsruhe, Germany) was used to control the vertical movement of the elevation stage. Furthermore, the OMS apparatus includes a piezoelectric actuator motor for horizontal movement of the mica disk. The piezoelectric actuator (P-216.90, by Physik Instrumente, Karlsruhe, Germany) had a 0-180 µm horizontal movement range and resolution of 1.8 nm. The control of the displacement of the piezoelectric actuator was accomplished via a digital piezo controller (E-517, by Physik Instrumente, Karlsruhe, Germany). A miniature load cell (FUTEK model LSB200, CA, USA) with a 0.2 N capacity was utilized to measure the friction force during the micro-sliding tests. In this investigation, micro-sized stainless-steel spheres with a diameter less than 50 µm (supplied by Cospheric LLC, Goleta, CA, USA) were used to explore their motion between two flat disks (see Figure 2). The micro-sized steel spheres were distributed on the top of the mica disk, and then carried into contact with the upper stationary transparent window by the elevation stage. After that, the piezoelectric motor was operated to move the mica disk, which was below the steel microspheres, against the fixed sapphire disk at a very slow sliding speed. In situ observation of the contact interface was conducted using an optical microscope placed over the upper transparent window and attached to a digital camera (see Figure 1). The OMS apparatus comprises a fiber-optic displacement sensor (from Philtec, Inc., Annapolis, MD, USA) to accurately quantify the vertical travel distance of the free end of the cantilever beam (at the location of the flat mica disk). This high-precision fiber-optic displacement sensor had a resolution of 40 nm. vertical travel distance of the free end of the cantilever beam (at the location of the flat mica disk). This high-precision fiber-optic displacement sensor had a resolution of 40 nm.  The morphology of the stainless-steel particles was examined via a scanning electron microscope, JEOL JSM-7001F, Japan, operating at an acceleration voltage of 20 kV. Furthermore, chemical analysis of stainless-steel particles was studied using EDS. To perform this study, a powder of stainless-steel particles was scattered on copper tape (on an SEM sample holder). Figure 3 depicts SEM micrographs at different magnifications of the stainless-steel particles. The SEM micrographs revealed the spherical structure of stainlesssteel particles with a diameter ranging from 41 µm to 48 µm. Because of the surface roughness of the mating surfaces, the solid particles can occupy the gap formed by the asperities   The morphology of the stainless-steel particles was examined via a scanning electron microscope, JEOL JSM-7001F, Japan, operating at an acceleration voltage of 20 kV. Furthermore, chemical analysis of stainless-steel particles was studied using EDS. To perform this study, a powder of stainless-steel particles was scattered on copper tape (on an SEM sample holder). Figure 3 depicts SEM micrographs at different magnifications of the stainless-steel particles. The SEM micrographs revealed the spherical structure of stainlesssteel particles with a diameter ranging from 41 µm to 48 µm. Because of the surface roughness of the mating surfaces, the solid particles can occupy the gap formed by the asperities The morphology of the stainless-steel particles was examined via a scanning electron microscope, JEOL JSM-7001F, Japan, operating at an acceleration voltage of 20 kV. Furthermore, chemical analysis of stainless-steel particles was studied using EDS. To perform this study, a powder of stainless-steel particles was scattered on copper tape (on an SEM sample holder). Figure 3 depicts SEM micrographs at different magnifications of the stainless-steel particles. The SEM micrographs revealed the spherical structure of stainless-steel particles with a diameter ranging from 41 µm to 48 µm. Because of the surface roughness of the mating surfaces, the solid particles can occupy the gap formed by the asperities of mating surfaces to enlarge the real area of contact and, therefore, lower the surface contact stresses. As a result of the reduction in contact stresses, the wear rate within the system is expected to drastically diminish. Additionally, the spherical structure (with minor shape deviation) Lubricants 2021, 9, 81 5 of 13 of the stainless-steel particles can be favorable when used in mechanical systems in reducing friction and wear losses by operating as a ball bearing on the micro-scale. Moreover, as shown in Figure 3c, the stainless-steel particles demonstrated nanometer scale surface irregularities (less than 50 nm) that confirmed their smooth surface. The chemical analysis using EDS of stainless-steel particles is shown in Figure 4. The results of the EDS analysis, presented in Figure 4b, indicate that the particles had an elemental composition of 69.0% iron, 18.1% chromium, and 8.6% nickel, in addition to a small content of other elements, which are practically similar to the stainless-steel alloy material [38].
Lubricants 2021, 9, x FOR PEER REVIEW 5 of 13 of mating surfaces to enlarge the real area of contact and, therefore, lower the surface contact stresses. As a result of the reduction in contact stresses, the wear rate within the system is expected to drastically diminish. Additionally, the spherical structure (with minor shape deviation) of the stainless-steel particles can be favorable when used in mechanical systems in reducing friction and wear losses by operating as a ball bearing on the microscale. Moreover, as shown in Figure 3c, the stainless-steel particles demonstrated nanometer scale surface irregularities (less than 50 nm) that confirmed their smooth surface. The chemical analysis using EDS of stainless-steel particles is shown in Figure 4. The results of the EDS analysis, presented in Figure 4b, indicate that the particles had an elemental composition of 69.0% iron, 18.1% chromium, and 8.6% nickel, in addition to a small content of other elements, which are practically similar to the stainless-steel alloy material [38].

Analysis of Contact Area and Image Processing
Initially, the mica disk that carries steel microspheres was moved upward via the elevation stage. As soon as the stainless-steel microspheres touched the upper stationary disk, a contact zone was produced in the midpoint of each microsphere. The area of contact between the microspheres and the upper disk can be observed in situ via the microscope-camera system. For a non-conformal contact, Newton's rings interference pattern was produced around the contact area of each microsphere, and this pattern can be used to detect the center of the area of contact (see Figure 5). Furthermore, the dark area in the of mating surfaces to enlarge the real area of contact and, therefore, lower the surface contact stresses. As a result of the reduction in contact stresses, the wear rate within the system is expected to drastically diminish. Additionally, the spherical structure (with minor shape deviation) of the stainless-steel particles can be favorable when used in mechanical systems in reducing friction and wear losses by operating as a ball bearing on the microscale. Moreover, as shown in Figure 3c, the stainless-steel particles demonstrated nanometer scale surface irregularities (less than 50 nm) that confirmed their smooth surface. The chemical analysis using EDS of stainless-steel particles is shown in Figure 4. The results of the EDS analysis, presented in Figure 4b, indicate that the particles had an elemental composition of 69.0% iron, 18.1% chromium, and 8.6% nickel, in addition to a small content of other elements, which are practically similar to the stainless-steel alloy material [38].

Analysis of Contact Area and Image Processing
Initially, the mica disk that carries steel microspheres was moved upward via the elevation stage. As soon as the stainless-steel microspheres touched the upper stationary disk, a contact zone was produced in the midpoint of each microsphere. The area of contact between the microspheres and the upper disk can be observed in situ via the microscope-camera system. For a non-conformal contact, Newton's rings interference pattern was produced around the contact area of each microsphere, and this pattern can be used to detect the center of the area of contact (see Figure 5). Furthermore, the dark area in the

Analysis of Contact Area and Image Processing
Initially, the mica disk that carries steel microspheres was moved upward via the elevation stage. As soon as the stainless-steel microspheres touched the upper stationary disk, a contact zone was produced in the midpoint of each microsphere. The area of contact between the microspheres and the upper disk can be observed in situ via the microscopecamera system. For a non-conformal contact, Newton's rings interference pattern was produced around the contact area of each microsphere, and this pattern can be used to detect the center of the area of contact (see Figure 5). Furthermore, the dark area in the middle of the contact, as shown in Figure 5, which represents the contact area, is the zeroth-order destructive interference fringe [39].
middle of the contact, as shown in Figure 5, which represents the contact area, is the zeroth-order destructive interference fringe [39]. Next, the flat mica disk, carrying the microspheres, was moved horizontally below the fixed transparent window using the piezoelectric actuator. Visual inspection of the contact interface was conducted using the optical microscope standing over the upper transparent window and connected to a camera. Furthermore, the video of the interacting surfaces throughout a micro-sliding cycle was used to trace the center of a microsphere and, thus obtain the relative horizontal movement of the microsphere. Video recording of the contact interface was performed at a rate of 30 frames/s using the digital camera (with a resolution of 18 megapixels). In post-test processing, the acquired video was used to calculate the relative horizontal displacement through the variation in the x-y coordinates of the midpoint of the examined microsphere. This method permits precise measurement of the horizontal movement of the microsphere throughout the linear micro-sliding experiment. To improve the image resolution and sharpness of acquired videos, a high-magnification lens (20× or 50×) in combination with the highest pixels in the camera (18 megapixels) was utilized. Consequently, the optical microscope used in this study was able to achieve an image resolution of up to 0.55 µm. Next, the flat mica disk, carrying the microspheres, was moved horizontally below the fixed transparent window using the piezoelectric actuator. Visual inspection of the contact interface was conducted using the optical microscope standing over the upper transparent window and connected to a camera. Furthermore, the video of the interacting surfaces throughout a micro-sliding cycle was used to trace the center of a microsphere and, thus obtain the relative horizontal movement of the microsphere. Video recording of the contact interface was performed at a rate of 30 frames/s using the digital camera (with a resolution of 18 megapixels). In post-test processing, the acquired video was used to calculate the relative horizontal displacement through the variation in the x-y coordinates of the midpoint of the examined microsphere. This method permits precise measurement of the horizontal movement of the microsphere throughout the linear microsliding experiment. To improve the image resolution and sharpness of acquired videos, a high-magnification lens (20× or 50×) in combination with the highest pixels in the camera (18 megapixels) was utilized. Consequently, the optical microscope used in this study was able to achieve an image resolution of up to 0.55 µm.

Experimental Procedure
In this study, the tested sapphire specimen was cleaned using acetone and wiped before each test. A freshly cleaved mica disk that had a diameter of 12 mm and a thickness of 0.21 mm was used as the lower flat surface. As shown in Figure 1a, the mica disk was positioned on the free end of the cantilever beam setup. Stainless-steel microspheres were distributed randomly on the top of the mica disk. A sapphire window 27 mm in diameter and 1 mm in thickness was utilized as the upper flat surface. The sapphire window had a modulus of elasticity of 400 GPa and Poisson's ratio of 0.29. In addition, the transparency of the sapphire window permitted the visualization of the microspheres beneath it.
In this study, the precision elevation stage was used to elevate the flat mica disk, with the microspheres on top of it, to bring it into contact with the stationary sapphire surface. The slow vertical movement (equal to 0.1 µm/s) was executed via the elevation stage until surface contact initiation occurs. A proximity sensor located below the mica disk was employed to measure its vertical displacement and the applied normal load as it moves toward the upper sapphire window. Consequently, when surface contact is initiated, the proximity sensor will read no movement of the mica disk, and then the vertical input displacement by the elevation stage was stopped. Next, visual inspection using the optical microscope with the digital camera was used to locate a microsphere in contact with the upper sapphire window. Afterward, a micro-sliding test was performed by moving the mica disk horizontally and concurrently observing the motion of the microsphere. In micro-sliding experiments, the piezoelectric actuator was operated to reciprocate the flat mica disk with the microspheres against the fixed sapphire window at a slow speed. Micro-sliding experiments were performed at a low operational frequency (0.08 Hz) in order to carefully examine the motion of micro steel particles between two flat bodies. During the micro-sliding tests, the input displacement function given to the piezoelectric actuator to move the mica disk was a sinusoidal cycle with an amplitude of 70 µm (see Figure 6). At the same time, the optical microscope, in conjunction with the digital camera, was used to video record the motion of the microsphere. Subsequently, the horizontal output movement of the microsphere in the micro-sliding experiment was obtained by processing the recorded video. In this investigation, the data collection and the control of the piezoelectric motor elevation stage were accomplished via LabView software and using a 20 kHz sampling rate. In this investigation, all experiments were performed at room temperature, and all tests were conducted several times to confirm the repeatability and reliability of the obtained results. The measured sliding velocities and friction force values were obtained with a maximum error of approximately 7%.

Experimental Procedure
In this study, the tested sapphire specimen was cleaned using acetone and wiped before each test. A freshly cleaved mica disk that had a diameter of 12 mm and a thickness of 0.21 mm was used as the lower flat surface. As shown in Figure 1a, the mica disk was positioned on the free end of the cantilever beam setup. Stainless-steel microspheres were distributed randomly on the top of the mica disk. A sapphire window 27 mm in diameter and 1 mm in thickness was utilized as the upper flat surface. The sapphire window had a modulus of elasticity of 400 GPa and Poisson's ratio of 0.29. In addition, the transparency of the sapphire window permitted the visualization of the microspheres beneath it.
In this study, the precision elevation stage was used to elevate the flat mica disk, with the microspheres on top of it, to bring it into contact with the stationary sapphire surface. The slow vertical movement (equal to 0.1 µm/s) was executed via the elevation stage until surface contact initiation occurs. A proximity sensor located below the mica disk was employed to measure its vertical displacement and the applied normal load as it moves toward the upper sapphire window. Consequently, when surface contact is initiated, the proximity sensor will read no movement of the mica disk, and then the vertical input displacement by the elevation stage was stopped. Next, visual inspection using the optical microscope with the digital camera was used to locate a microsphere in contact with the upper sapphire window. Afterward, a micro-sliding test was performed by moving the mica disk horizontally and concurrently observing the motion of the microsphere. In micro-sliding experiments, the piezoelectric actuator was operated to reciprocate the flat mica disk with the microspheres against the fixed sapphire window at a slow speed. Micro-sliding experiments were performed at a low operational frequency (0.08 Hz) in order to carefully examine the motion of micro steel particles between two flat bodies. During the micro-sliding tests, the input displacement function given to the piezoelectric actuator to move the mica disk was a sinusoidal cycle with an amplitude of 70 µm (see Figure 6). At the same time, the optical microscope, in conjunction with the digital camera, was used to video record the motion of the microsphere. Subsequently, the horizontal output movement of the microsphere in the micro-sliding experiment was obtained by processing the recorded video. In this investigation, the data collection and the control of the piezoelectric motor elevation stage were accomplished via LabView software and using a 20 kHz sampling rate. In this investigation, all experiments were performed at room temperature, and all tests were conducted several times to confirm the repeatability and reliability of the obtained results. The measured sliding velocities and friction force values were obtained with a maximum error of approximately 7%.

In Situ Visualization of Contact Interface
In order to investigate the motion of micrometer spheres between two flat surfaces, an approach cycle was performed using the elevation stage to raise the mica disk that carries the microspheres, bring it in contact with the fixed upper surface, and then move the mica disk horizontally using the piezoelectric actuator. The approach and sliding cycles were executed in room environment and dry condition. It is crucial that minimal normal force is applied on the steel microspheres to avoid damaging them. The cantilever beam setup (with a stiffness of 2.1 mN/µm), along with the extremely low vertical speed (0.1 µm/s) used in this instrument, ensures that only a small normal load is exerted on the microspheres. Throughout the approach cycle, the proximity sensor measures the vertical displacement of the mica disk. Therefore, contact initiation is detected when the proximity sensor reads no movement of the mica disk as the elevation stage moves upward.
Moreover, the optical microscope was used to confirm the contact initiation by visualizing the microspheres. Figure 7 depicts the micrographs of a steel microsphere in between the mica disk and the sapphire window. From Figure 7b, the presence of Newton's rings pattern around the contact area (the region in the center) corroborates the surfaces' contact. It should be noted that tens of microspheres (with diameters in the range of 41 to 48 µm) were placed on the mica disk. Therefore, it is expected that the contact will occur between multiple microspheres and the upper sapphire window. However, the optical microscope was focused on a single microsphere during the micro-sliding test to carefully study the movement of the spherical particle between flat surfaces. This finding clearly indicates that the microspheres prevented direct contact between the mica and the sapphire surfaces.
Lubricants 2021, 9, x FOR PEER REVIEW 8 of 13 Figure 6. Horizontal input displacement cycle supplied to the piezoelectric motor to move the mica disk.

In Situ Visualization of Contact Interface
In order to investigate the motion of micrometer spheres between two flat surfaces, an approach cycle was performed using the elevation stage to raise the mica disk that carries the microspheres, bring it in contact with the fixed upper surface, and then move the mica disk horizontally using the piezoelectric actuator. The approach and sliding cycles were executed in room environment and dry condition. It is crucial that minimal normal force is applied on the steel microspheres to avoid damaging them. The cantilever beam setup (with a stiffness of 2.1 mN/µm), along with the extremely low vertical speed (0.1 µm/s) used in this instrument, ensures that only a small normal load is exerted on the microspheres. Throughout the approach cycle, the proximity sensor measures the vertical displacement of the mica disk. Therefore, contact initiation is detected when the proximity sensor reads no movement of the mica disk as the elevation stage moves upward.
Moreover, the optical microscope was used to confirm the contact initiation by visualizing the microspheres. Figure 7 depicts the micrographs of a steel microsphere in between the mica disk and the sapphire window. From Figure 7b, the presence of Newton's rings pattern around the contact area (the region in the center) corroborates the surfaces' contact. It should be noted that tens of microspheres (with diameters in the range of 41 to 48 µm) were placed on the mica disk. Therefore, it is expected that the contact will occur between multiple microspheres and the upper sapphire window. However, the optical microscope was focused on a single microsphere during the micro-sliding test to carefully study the movement of the spherical particle between flat surfaces. This finding clearly indicates that the microspheres prevented direct contact between the mica and the sapphire surfaces. This experimental setup allowed us to study the lubrication mechanism of solid micro-and nano-particles between flat surfaces. During boundary and mixed lubrication, the gap between sliding surfaces is very small. Therefore, when a lubricant with solid additives is used, those solid particles will bear some of the applied load, prevent contact between flat surfaces, and, as a result, reduce friction and wear.

Micro-Sliding Investigation
Contact between steel microspheres and the upper sapphire window was initiated. The piezoelectric motor was operated to slide the mica disk with microspheres parallel to the sapphire surface using a sinusoidal cycle (the amplitude of 70 µm). Hence, the total This experimental setup allowed us to study the lubrication mechanism of solid microand nano-particles between flat surfaces. During boundary and mixed lubrication, the gap between sliding surfaces is very small. Therefore, when a lubricant with solid additives is used, those solid particles will bear some of the applied load, prevent contact between flat surfaces, and, as a result, reduce friction and wear.

Micro-Sliding Investigation
Contact between steel microspheres and the upper sapphire window was initiated. The piezoelectric motor was operated to slide the mica disk with microspheres parallel to the sapphire surface using a sinusoidal cycle (the amplitude of 70 µm). Hence, the total horizontal displacement of the mica disk was 140 µm. At the same time, the optical microscope located directly above the sapphire window was utilized to observe the motion of the microspheres. However, throughout the micro-sliding test, the optical microscope was focused on a single microsphere to scrutinize its movement between the flat surfaces.
Moreover, the micro-sliding investigation was conducted at a very slow operational frequency (0.08 Hz) to closely explore the motion of steel microspheres between the two flat surfaces. The digital camera was used to video record the motion of the microsphere during the micro-sliding test. Later, the in situ acquired video (refer to Supplementary File S1) was processed to extract digital micrographs of the surfaces' interface throughout the micro-sliding cycle (see Figure 8). The total traveling distance of the microsphere was measured by tracing the center of the microsphere, while the total travel distance of the mica disk was measured by tracing a mark on the mica disk. Figure 8d illustrates the position of the steel microsphere in the extracted digital images (Figure 8a-c) relative to the input displacement cycle given to the piezoelectric motor. It can be seen from Figure 8 that the total traveling distance of the microsphere was 70 µm while the total traveling distance of the mica disk was 140 µm. Thus, the total lateral movement of the mica disk (140 µm) was twice the displacement of the steel microsphere (70 µm).
Lubricants 2021, 9, x FOR PEER REVIEW 9 of 13 horizontal displacement of the mica disk was 140 µm. At the same time, the optical microscope located directly above the sapphire window was utilized to observe the motion of the microspheres. However, throughout the micro-sliding test, the optical microscope was focused on a single microsphere to scrutinize its movement between the flat surfaces. Moreover, the micro-sliding investigation was conducted at a very slow operational frequency (0.08 Hz) to closely explore the motion of steel microspheres between the two flat surfaces. The digital camera was used to video record the motion of the microsphere during the micro-sliding test. Later, the in situ acquired video (refer to Supplementary File S1) was processed to extract digital micrographs of the surfaces' interface throughout the micro-sliding cycle (see Figure 8). The total traveling distance of the microsphere was measured by tracing the center of the microsphere, while the total travel distance of the mica disk was measured by tracing a mark on the mica disk. Figure 8d illustrates the position of the steel microsphere in the extracted digital images (Figure 8a-c) relative to the input displacement cycle given to the piezoelectric motor. It can be seen from Figure 8 that the total traveling distance of the microsphere was 70 µm while the total traveling distance of the mica disk was 140 µm. Thus, the total lateral movement of the mica disk (140 µm) was twice the displacement of the steel microsphere (70 µm).

Analysis of the Motion of the Microsphere between Flat Surfaces
The motion of a sphere between two flat surfaces can be pure slipping, pure rolling, or rolling with slipping. To determine the type of motion, it is required to measure the traveled distance of the sphere and flat surfaces.
It is well known that in a slipping (pure translational) motion, every point of the rigid sphere will have the same velocity and in the same direction. On the other hand, rolling motion is a combination of translation motion and rotational motion. Therefore, when a sphere is rolling on a flat surface without slipping, the point of contact of the sphere with the fixed flat surface will have zero velocity. Figure 9 depicts a schematic of the velocity at different points on a microsphere between two flat surfaces. If the bottom point of the microsphere was moved with a velocity V 1 , then we have three possible scenarios. In the first scenario, the center of the microsphere has the same velocity as V 1 , which means that the microsphere is in slipping (pure translational) motion. In the second scenario, the center of the microsphere has a velocity of 1 2 V 1 , which means that the microsphere is in rolling without slipping motion. In the third scenario, the center of the sphere has a velocity between 1 2 V 1 and V 1 , which means that the microsphere is in rolling with slipping motion.

Analysis of the Motion of the Microsphere between Flat Surfaces
The motion of a sphere between two flat surfaces can be pure slipping, pure rolling, or rolling with slipping. To determine the type of motion, it is required to measure the traveled distance of the sphere and flat surfaces.
It is well known that in a slipping (pure translational) motion, every point of the rigid sphere will have the same velocity and in the same direction. On the other hand, rolling motion is a combination of translation motion and rotational motion. Therefore, when a sphere is rolling on a flat surface without slipping, the point of contact of the sphere with the fixed flat surface will have zero velocity. Figure 9 depicts a schematic of the velocity at different points on a microsphere between two flat surfaces. If the bottom point of the microsphere was moved with a velocity V1, then we have three possible scenarios. In the first scenario, the center of the microsphere has the same velocity as V1, which means that the microsphere is in slipping (pure translational) motion. In the second scenario, the center of the microsphere has a velocity of ½V1, which means that the microsphere is in rolling without slipping motion. In the third scenario, the center of the sphere has a velocity between ½V1 and V1, which means that the microsphere is in rolling with slipping motion. In this investigation, the piezoelectric motor was utilized to move the mica surface (beneath microspheres) horizontally against the stationary sapphire window (above the microspheres). The upper flat surface was stationary (i.e., V3 = 0) and the total horizontal displacement of the lower flat disk was 140 µm in 6 s (i.e., V1 = 23.33 µm/s). As shown in Figure 8, the overall lateral displacement of the steel microsphere was half (70 µm) the displacement of the mica disk (140 µm). It should be noted that the total lateral displacement of the steel microsphere was 70 µm in 6 s (i.e., V2 = 11.67 µm/s). Hence, the velocity of the center of the microsphere was half the velocity of the mica disk. These results demonstrate that the motion of the microsphere between two flat surfaces was rolling without slipping (pure rolling motion). This rolling without slipping motion of microsized spherical particles placed in-between two flat bodies gives support to the idea of adding rigid spherical particles to liquid lubricants to further minimize frictional and wear losses by acting as micro and nanoscale ball bearings.
During the micro-sliding experiments, an in-line load sensor was employed to measure the friction force experienced by the microspheres (see Figure 1). Figure 10 depicts the friction force measurements versus time at different applied normal loads (7 and 14 mN). It should be noted that a relatively small sliding distance was used in the friction experiments to visually examine the motion of the solid particles and measure the friction force. In this investigation, the piezoelectric motor was utilized to move the mica surface (beneath microspheres) horizontally against the stationary sapphire window (above the microspheres). The upper flat surface was stationary (i.e., V 3 = 0) and the total horizontal displacement of the lower flat disk was 140 µm in 6 s (i.e., V 1 = 23.33 µm/s). As shown in Figure 8, the overall lateral displacement of the steel microsphere was half (70 µm) the displacement of the mica disk (140 µm). It should be noted that the total lateral displacement of the steel microsphere was 70 µm in 6 s (i.e., V 2 = 11.67 µm/s). Hence, the velocity of the center of the microsphere was half the velocity of the mica disk. These results demonstrate that the motion of the microsphere between two flat surfaces was rolling without slipping (pure rolling motion). This rolling without slipping motion of micro-sized spherical particles placed in-between two flat bodies gives support to the idea of adding rigid spherical particles to liquid lubricants to further minimize frictional and wear losses by acting as micro and nanoscale ball bearings.
During the micro-sliding experiments, an in-line load sensor was employed to measure the friction force experienced by the microspheres (see Figure 1). Figure 10 depicts the friction force measurements versus time at different applied normal loads (7 and 14 mN). It should be noted that a relatively small sliding distance was used in the friction experiments to visually examine the motion of the solid particles and measure the friction force. Longer sliding distance experiments will result in losing the focus of the optical microscope on the solid particles. It is clear from Figure 10 that very low friction force was measured, and the obtained coefficient of friction was about 0.03. It is well known that rolling friction is considerably lower than sliding friction, and the rolling coefficient of friction is less than 0.1 [40,41]. Therefore, the low coefficient of friction obtained from the micro-sliding experiments confirms the rolling motion of the microspheres between the mating surfaces.
Longer sliding distance experiments will result in losing the focus of the optical microscope on the solid particles. It is clear from Figure 10 that very low friction force was measured, and the obtained coefficient of friction was about 0.03. It is well known that rolling friction is considerably lower than sliding friction, and the rolling coefficient of friction is less than 0.1 [40,41]. Therefore, the low coefficient of friction obtained from the micro-sliding experiments confirms the rolling motion of the microspheres between the mating surfaces. The major purpose of the current work was to verify the hypothesis that micro-and nano-spherical particles could introduce the rolling motion within the contacting surface and, as a result, reduce friction and wear. Therefore, relatively large particles (~50 µm) were used to visualize their rolling motion between mating surfaces. However, different sizes and types of micro-and nano-particles are available and can be selected based on the condition and roughness of the mating surfaces.

Conclusions
An optical micro-sliding apparatus was developed to examine the movement of micron-sized spherical particles placed between flat bodies to better understand their lubrication mechanism when used as oil additives. The experimental instrument performed velocity and friction force measurements during the micro-sliding experiments. The following points can be concluded from our study: (1) The spherical particles had a diameter ranging from 41 to 48 µm and this is useful to accommodate for the irregularities caused by the surface roughness and/or condition of mating surfaces. (2) In micro-sliding experiments, it was shown that the velocity of the center of the steel microsphere was half the velocity of the lower disk, and friction force measurements revealed a very low coefficient of friction (about 0.03), confirming the pure rolling motion of the microspheres. (3) The key outcome of this study was the verification of the assumption that spherical particles can be used to prevent direct contact and introduce rolling motion between mating surfaces. The major purpose of the current work was to verify the hypothesis that micro-and nano-spherical particles could introduce the rolling motion within the contacting surface and, as a result, reduce friction and wear. Therefore, relatively large particles (~50 µm) were used to visualize their rolling motion between mating surfaces. However, different sizes and types of micro-and nano-particles are available and can be selected based on the condition and roughness of the mating surfaces.

Conclusions
An optical micro-sliding apparatus was developed to examine the movement of micron-sized spherical particles placed between flat bodies to better understand their lubrication mechanism when used as oil additives. The experimental instrument performed velocity and friction force measurements during the micro-sliding experiments. The following points can be concluded from our study: (1) The spherical particles had a diameter ranging from 41 to 48 µm and this is useful to accommodate for the irregularities caused by the surface roughness and/or condition of mating surfaces. (2) In micro-sliding experiments, it was shown that the velocity of the center of the steel microsphere was half the velocity of the lower disk, and friction force measurements revealed a very low coefficient of friction (about 0.03), confirming the pure rolling motion of the microspheres. (3) The key outcome of this study was the verification of the assumption that spherical particles can be used to prevent direct contact and introduce rolling motion between mating surfaces. (4) This outcome supports the idea that micro-and nano-sized spherical particles can be utilized as ball bearings at the microscale to improve the tribological behavior of current lubricant oils.