Consider steady conduction with constant properties in a 45-degree triangular wedge, with convective boundary conditions on the sloping face, as shown below. It is discretized using a uniform rectangular mesh, a portion of which is shown below. Assume Ex=¤y=0.2 m. For the boundary point 4, develop a discrete equation for the temperature T4 and the boundary heat transfer rate q4 into the domain. For T1= 350K, T2 = 400K, T3 = 450K, T5 = 500K and T6 = 550K and k=10 W/mK, h=10 W/m2 K, TM = 300 K, find T4 and q4.

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Consider steady conduction with constant properties in a 45-degree triangular wedge, with
convective boundary conditions on the sloping face, as shown below. It is discretized using a
uniform rectangular mesh, a portion of which is shown below. Assume Ex=¤y=0.2 m. For the
boundary point 4, develop a discrete equation for the temperature T4 and the boundary heat
transfer rate q4 into the domain. For T1= 350K, T2 = 400K, T3 = 450K, T5 = 500K and T6 = 550K and
k=10 W/mK, h=10 W/m2 K, TM = 300 K, find T4 and q4.
Transcribed Image Text:Consider steady conduction with constant properties in a 45-degree triangular wedge, with convective boundary conditions on the sloping face, as shown below. It is discretized using a uniform rectangular mesh, a portion of which is shown below. Assume Ex=¤y=0.2 m. For the boundary point 4, develop a discrete equation for the temperature T4 and the boundary heat transfer rate q4 into the domain. For T1= 350K, T2 = 400K, T3 = 450K, T5 = 500K and T6 = 550K and k=10 W/mK, h=10 W/m2 K, TM = 300 K, find T4 and q4.
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