Question

The velocity components for a flow of an incompressible fluid are given by the following

equations:
u=kx (y + z);
v=ky (x + z);
w=-k z(x + y)- 22.
Determine the value of "k" in order to have a physically possible flow.
a)1
b)2
c)0
d)-1

Answer 1

Any real value of 'k' will result in a physically possible flow for the given equations.

Step-by-step explanation:

The velocity components for the flow of an incompressible fluid are given by the equations:

u = kx (y + z)

v = ky (x + z)

w = -kz (x + y) - 22

To determine the value of 'k' in order to have a physically possible flow, we need to analyze each component.

For a physically possible flow, the velocity components should be finite and not produce any singularities.

Looking at the equations, we can see that 'k' does not appear in the denominators, which ensures that the flow will not become singular.

Therefore, any real value of 'k' will result in a physically possible flow.