What is the value of surface integral between surface 1 and 2 of the control volume while finding the continuity equation?
A. V.dS
B. dS
C. Zero
D. V2.dS
Answer:A
What is the value of surface integral between surface 1 and 2 of the control volume while finding the continuity equation?
A. V.dS B. dS C. Zero D. V2.dS
Explanation: The continuity equation for quasi one – dimensional flow is obtained by integrating conservative equation in a control volume which is given by: ρ1u1A1 = ρ2u2A2 Where subscript 1 and 2 correspond to the cross – sectional area in the control volume. The surface integral between 1 and 2 is considered to be zero as V is along the surface of the streamtube and hence V.dS = 0 and there is no fluid flow across the boundary of the stream tube.