The differential form of continuity equation for two-dimensional flow of fluid may be written in the following form r(∂u/∂x)+ r(∂v/∂y) = 0 in which u and v are velocities in the x and y- direction and r is the density. This is valid for
Option (A)
Compressible, steady flow
Option (B)
Compressible, unsteady flow
Incompressible, unsteady flow
Incompressible, steady flow
Correct Option:
Question Solution:
Continuity equation for two-dimensional steady flow
((rv)/ x)+( (rv)/ y) =0
Further for an incompressible fluid the mass density r does not change with x, y and hence equation simplifies to
r(u/x)+ r(v/y) = 0