The temperature distribution in the plane wall of area A = 1 m, thickness, L =...

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The temperature distribution in the plane wall of area A = 1 m², thickness, L = 0.35 m, thermal conductivity k = 15 is governed by the 1D heat conduction equation: W m.k d²T dx² + b = 0 where, b = 10⁰ °C/m². The left boundary is maintained isothermal T₁ = 100 °C. while the right boundary is exposed to hot fluid at To 3 500 °C with a convective heat transfer coefficient of h= 250 W/m².K as shown in the diagram. Answer the following questions: (a) Describe the heat transfer equation given in equation 1 completely. (b) Determine the general solution of equation (1) for the temperature distribution T(x). (c) Provide the two boundary conditions for the problem with respect to the given x-coordinate axis shown. (d) Use the boundary conditions to determine the particular solution for the problem. (e) Find the location where the maximum temperature occurs and determine its value. T₁ (f) Determine the conduction heat rate at the left boundary. (g) What is the surface temperature of the right boundary. (1) Too, h ► X The temperature distribution in the plane wall of area A = 1 m², thickness, L = 0.35 m, thermal conductivity k = 15 is governed by the 1D heat conduction equation: W m.k d²T dx² + b = 0 where, b = 10⁰ °C/m². The left boundary is maintained isothermal T₁ = 100 °C. while the right boundary is exposed to hot fluid at To 3 500 °C with a convective heat transfer coefficient of h= 250 W/m².K as shown in the diagram. Answer the following questions: (a) Describe the heat transfer equation given in equation 1 completely. (b) Determine the general solution of equation (1) for the temperature distribution T(x). (c) Provide the two boundary conditions for the problem with respect to the given x-coordinate axis shown. (d) Use the boundary conditions to determine the particular solution for the problem. (e) Find the location where the maximum temperature occurs and determine its value. T₁ (f) Determine the conduction heat rate at the left boundary. (g) What is the surface temperature of the right boundary. (1) Too, h ► X

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Here are the detailed calculations b The general solution of the 1D heat equation 1 T... View the full answer