Write the Galerkin Method of Weighted Residuals Finite Element formulation for the governing equation assuming b,...
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Write the Galerkin Method of Weighted Residuals Finite Element formulation for the governing equation assuming b, k, and H are constants. Assume the material to be AL (Aluminum) 1 dT d²T 2H + dr² r dr kb T=0 L =r=L₂ Be sure to show all steps neatly. For this part (and all subsequent parts) assume that the 1/r term is a constant (Within that specific element). For your 1/r term, use the average r value within that element. That is r_avg = (r( element local node 1) + r( element local node 2) )/2. Write the Galerkin Method of Weighted Residuals Finite Element formulation for the governing equation assuming b, k, and H are constants. Assume the material to be AL (Aluminum) 1 dT d²T 2H + dr² r dr kb T=0 L =r=L₂ Be sure to show all steps neatly. For this part (and all subsequent parts) assume that the 1/r term is a constant (Within that specific element). For your 1/r term, use the average r value within that element. That is r_avg = (r( element local node 1) + r( element local node 2) )/2.
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Step 1 Given that dT dT dr T 1 2 0 a r b Where k denotes the thermal conductivity Q is the di... View the full answer
Related Book For
Process Dynamics and Control
ISBN: 978-1119385561
4th edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle
Posted Date:
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