1. The thin square plate has edges held at constant temperatures as showWn in the figure.Use a suitable grid for which the results converge and obtain the temperaturedistribution with the finite difference method. Plot isotherms if possible. Present thetemperature at plate mid-point in a table. Show its variation with the number of gridpoints considered.100 °C25 °C1m 50 °C0°CHint: To have a grid point corresponding to plate mid-point, you need to have an nxn solutiongrid where n is an odd number.1. 2. Solve question 1 with the finite element method using 3 node triangular elements.Use a suitable mesh for which the results converge and obtain the temperaturedistribution with the finite element method. Plot isotherms if possible. Present thetemperature at plate mid-point in a table. Show its variation with the number ofelements considered.Hint: Take the temperature at top edge corner nodes as 100 °C and the botttom edge nodes as0°C. Construct a suitable mesh so that you have a node at plate mid-point.

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1. The thin square plate has edges held at constant temperatures as shown in the figure. Use a suitable grid for which the results converge and obtain the temperature distribution with the finite difference method. Plot isotherms if possible. Present the temperature at plate mid-point in a table. Show its variation with the number of grid points considered. 100 °C 25 °C 1m 50 °C 0°C Hint: To have a grid point corresponding to plate mid-point, you need to have an nxn solution grid where n is an odd number.

1. The thin square plate has edges held at constant temperatures as shown in the figure. Use a suitable grid for which the results converge and obtain the temperature distribution with the finite difference method. Plot isotherms if possible. Present the temperature at plate mid-point in a table. Show its variation with the number of grid points considered. 100 °C 25 °C 1m 50 °C 0°C Hint: To have a grid point corresponding to plate mid-point, you need to have an nxn solution grid where n is an odd number.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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