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Derive the element characteristic equation for an interior element in a two-dimensional channel

1.Derive the element characteristic equation for u, v, and pressure p using the bilinear rectangular element for velocity components and constant pressure at the center of the rectangle based on chapter 14.

2.Derive the element characteristic equation for an interior element in a two-dimensional channel assuming linear triangular elements. Consider the flow as unsteady Stokes flow with governing equations

Solution:

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