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Problem 1 ( b ) ( 1 5 Points ) Use the following Navier Stoke's equation to derive the partial derivative equation for steady state
Problem b Points Use the following Navier Stoke's equation to derive the partial derivative equation for steady state viscous flow of a fluid film down a vertical surface. The surface on the left is stationary. Assume the flow is laminar, the fluid is incompressible and viscosity is a constant. The flow is driven in one direction by gravity only. Write clearly all your reasons to cancel any terms. The continuity equation for constant density is Equation of motion in rectangular coordinates. For Newtonian fluids for constant and for the component, component, and component we obtain, respectively,
Problem b Points Use the following Navier Stoke's equation to derive the partial
derivative equation for steady state viscous flow of a fluid film down a vertical surface. The
surface on the left is stationary. Assume the flow is laminar, the fluid is incompressible and
viscosity is a constant. The flow is driven in one direction by gravity only. Write clearly all your
reasons to cancel any terms.
The continuity equation for constant density is
Equation of motion in rectangular coordinates. For Newtonian fluids for constant and
for the component, component, and component we obtain, respectively,
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