(a)
The validation of Navier stokes Equation for two values of
Answer to Problem 4.38P
The Navier stokes Equation is satisfied for two values of
Explanation of Solution
Given information:
The flow is incompressible in nature, the cylindrical coordinate are
Write the expression for momentum equation in
Here, the cylindrical coordinates are
Since the flow is steady state so
Since the flow is irrotational so
Since there is no pressure difference so
Since
Calculation:
Substitute
Substitute
Substitute
Conclusion:
The Navier stokes Equation is satisfied for two values of
(b)
The pressure distribution for
The pressure distribution for
Answer to Problem 4.38P
The pressure distribution for
The pressure distribution for
Explanation of Solution
Given information:
The flow is incompressible in nature, the cylindrical coordinate are
Write the expression for momentum equation in
Here the viscous term is
Calculation:
Substitute
Substitute
Case-1:
Integrate Equation (VI)
Substitute
Case-2:
Substitute
Conclusion:
The pressure distribution for
The pressure distribution for
For
For
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Chapter 4 Solutions
Fluid Mechanics, 8 Ed
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