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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. Hint: Take the temperature at top edge corner nodes as 100 °C and the botttom edge nodes as 0 °C. Construct a suitable mesh șo that you have a node at plate mid-point.

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. Hint: Take the temperature at top edge corner nodes as 100 °C and the botttom edge nodes as 0 °C. Construct a suitable mesh șo 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. Hint: Take the temperature at top edge comer nodes as 100 °C and the botttom edge nodes as 0 °C. Construct a suitable mesh so that you have a node at plate mid-point.
Transcribed Image Text: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. Hint: Take the temperature at top edge comer nodes as 100 °C and the botttom edge nodes as 0 °C. Construct a suitable mesh so that you have a node at plate mid-point.
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