Finite Volume Analysis
General Strategy for
Finite Volume Analysis in Fluid Mechanics |
Step
1 Identify (draw) the control
surface and control volume for the fluid flow. You may need more than one control surface
and control volume. Click here for a discussion on guidelines for selection of your control surface of control surfaces. |
Step 2 Write
the equation for conservation of mass
if needed. |
Step
3 Write the equation for conservation of linear momentum if needed. |
Step
4 Write one or more Bernoulli equations along
streamlines to identify differences in fluid pressure forces acting
on the control surface. Construct
a few streamlines as needed. i.e.
For inviscid, steady, incompressible flow
along a streamline: P1/ρ +
(1/2)V12 + g Z1 = P2/ρ +
(1/2)V22
+ gZ2 |
Step 5 Write the equation for conservation of angular momentum if needed. |
Step
6 Write the equation for conservation of energy if needed. |
Step 7 Combine equations and solve for the desired
unknown or unknowns. |
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