Question

A fluid flow field a given by V= x^2yi + y^2zj - (2xyz + yz^2) k
Prove that it is a case of possible steady incompressible fluid flow. Calculate the velocity and acceleration at the
Point (2,1,3)
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Answer 1

Answer:

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Answer 2

Answer:

here u=x²y;

v=y²Z;

w=- (2xyz + yz²)

du/dx+dv/dy+dw/dz=0;

2xy+2yz-2xy-2yz=0

equation satisfy

it means is a case of possible steady incompressible fluid flow.

Explanation:

if   du/dx+dv/dy+dw/dz=0;

then it is  possible steady incompressible fluid flow.