Calculate the outer wall surface temperature and the temperature distribution in a thick walled hollow cylinder when
Question:
Calculate the outer wall surface temperature and the temperature distribution in a thick walled hollow cylinder when the inner wall temperature is \(120^{\circ} \mathrm{C}\) and the outer wall is exposed to a convection environment of \(25^{\circ} \mathrm{C}\) with a surface heat transfer coefficient of \(20 \mathrm{~W} / \mathrm{m}^{2}{ }^{\circ} \mathrm{C}\). The inner and outer radii of the hollow cylinder are \(30 \mathrm{~cm}\) and \(60 \mathrm{~cm}\) respectively. The thermal conductivity of the material of the hollow cylinder is \(20 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}\). Use one linear element and two linear elements for solution. Compare the results with the analytical solution.
Step by Step Answer:
Fundamentals Of The Finite Element Method For Heat And Mass Transfer Wiley Series In Computational Mechanics
ISBN: 272391
2nd Edition
Authors: P. Nithiarasu, R. W. Lewis, K. N. Seetharamu