Question

2a) True of false (explain your selection based on mass conservation principles). For single phase compressible flow, the flow velocity is only constant along the displacement length at steady state.

Answer 1

Continuity equation - Law of conservation of mass rightarrow It depends upon mass balance Steady Flow: In a any parameter does not change with respect to time at any given section it is called steady state rightarrow In fluid Mechanic, if velocity is constant at all times at a given section (section is steady, Time varying) It is called steady flow partial differential v/partial differential t = partial differential v/partial differential t = 0 Q = VA A = or constant partial differential Q/partial differential t = 0 V = constant In steady flow, Flow rate (or) discharge is also a constant at a given section Note: (a)given section V = Q = constant 1 Dimensional continuity equation: compressible flow PAV = constant Here, rho is variable rho_1 A_1 V_1 = rho_2 A_2 V_2 Here, velocity, Area also constant. If you consider only flow parameters i.e velocity, discharge are constant it is true True (T)