## Question

# ansewr pls Repeat Exercise 5.8.1 using (a) one rectangle; (b) four rectangles. Data From Exercise 5.8.1 A square plate size (100 mathrm{~cm} times 100 mathrm{~cm})

ansewr pls

Repeat Exercise 5.8.1 using

**(a)** one rectangle;

**(b)** four rectangles.

**Data From Exercise 5.8.1 **

A square plate size \(100 \mathrm{~cm} \times 100 \mathrm{~cm}\) is subjected to an isothermal boundary condition of \(500^{\circ} \mathrm{C}\) on the top and to convection environment (on all the remaining three sides) of \(100^{\circ} \mathrm{C}\) with a heat transfer coefficient of \(10 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). The thermal conductivity of the material of the plate is \(10 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). Assume the thickness of the plate is \(1 \mathrm{~cm}\). Determine the temperature distribution in the plate using (a) Two triangles; (b) Eight triangles. Calculate the temperature at a location \((x=30 \mathrm{~cm}, y=30 \mathrm{~cm}\) ) and heat fluxes in \(x\) and \(y\) directions.

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