Consider steady heat transfer in an L-shaped solid body whose cross section is given in Figure 5-26. The thermal conductivity of the body is k = 15 W/m · °C, and heat is generated in the body at a rate of g. = 2 x 106 W/m3. The left surface of the body is insulated, and the bottom surface is maintained at a uniform temperature of 90°C. The entire top surface is subjected to convection to ambient air at Too= 25°C with a convection coefficient of h= 80 W/m2 °C, and the right surface is subjected to heat flux at a uniform rate of q''R = 5000 W/m2. The nodal network of the problem consists of 15 equally spaced nodes with Ax=Ay=1.2 cm. Five of the nodes are at the bottom surface, and thus their temperatures are known. Obtain the finite difference equations at the remaining nine nodes and determine the nodal temperatures by solving them. Convection h, To -3+34 Ay Ay 1 4 10 2 5 3 6 12! 7 13 Ax= Ay=1 8 9 ÅR 14 15 90°C -Ax+Ax+Ax+AxAx- X

Consider steady heat transfer in an L-shaped solid body whose cross section is given in Figure 5-26. The thermal conductivity of the body is k = 15 W/m · °C, and heat is generated in the body at a rate of g. = 2 x 106 W/m3. The left surface of the body is insulated, and the bottom surface is maintained at a uniform temperature of 90°C. The entire top surface is subjected to convection to ambient air at Too= 25°C with a convection coefficient of h= 80 W/m2 °C, and the right surface is subjected to heat flux at a uniform rate of q''R = 5000 W/m2. The nodal network of the problem consists of 15 equally spaced nodes with Ax=Ay=1.2 cm. Five of the nodes are at the bottom surface, and thus their temperatures are known. Obtain the finite difference equations at the remaining nine nodes and determine the nodal temperatures by solving them. Convection h, To -3+34 Ay Ay 1 4 10 2 5 3 6 12! 7 13 Ax= Ay=1 8 9 ÅR 14 15 90°C -Ax+Ax+Ax+AxAx- X

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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