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Impact of complex wavy surface on natural convection flow in micropolar fluid

In this study, the impact of a complex wavy surface on natural convection flow in micropolar fluid is investigated and the function of the complex wavy surface is considered as a sum of the fundamental wave and its first harmonic. The mathematical model in terms of nonlinear governing PDEs is made dimensionless by introducing scaling variables and solved numerically using the finite difference scheme base on central and backward difference approximations. The effects of micropolar parameter R, and amplitudes of complex wavy surface are discussed through tables and graphs. It is observed that total heat transfer rate decreases by enhancing the effects of microploar parameter and noted that in case of dominant amplitude of fundamental wave, it decreases 8.5 and 22% approximately for R = 1 and R = 4 as compared to Newtonian fluid and in case of dominant amplitude of harmonic wave it decreases 8.5–9% and 22–23%. In micropolar fluid by keeping the value of R fixed, total heat transfer rate increases in case of dominant amplitude of harmonic wave and in this case its percentage increase w.r.t. single sinusoidal surface is much greater than to the case of dominant amplitude of fundamental wave.