15a-2D-Thermal

15a-2D-Thermal - William Klug MAE M168/CEE M135C...

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Unformatted text preview: William Klug MAE M168/CEE M135C Introduction to Finite Element Methods Lecture 14a 2D FEA: Steady State Heat Transfer William Klug Simple 2-D elements Pascals Triangle Summary and Review T x , y ( ) = a + bx + cy = T 1 N 1 + T 2 N 2 + T 3 N 3 Linear Triangle Bi-linear rectangle William Klug Galerkin FEA for S.S. Heat Transfer Temperature field interpolated on element with n nodes: T x , y ( ) = N 1 x , y ( ) N 2 x , y ( ) N n x , y ( ) N x , y ( ) T 1 T 2 T n T e William Klug Galerkin FEA for S.S. Heat Transfer T T x T y T , x T , y = N x , y ( ) T e = B x , y ( ) T e B = N 1 N 2 N n = N 1, x N 2, x N n , x N 1, y N 2, y N n , y...
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15a-2D-Thermal - William Klug MAE M168/CEE M135C...

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