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12. The temperature at the inner and outer surfaces of a hollow cylindrical pipe with wall...

Question:

12. The temperature at the inner and outer surfaces of a hollow cylindrical pipe with wall thickness L are held at constant v

12. The temperature at the inner and outer surfaces of a hollow cylindrical pipe with wall thickness L are held at constant values of T and T, respectively, where T, <To. The wall material has thermal conductivity that varies linearly according to k = k,(1 +BT), where k, and ß are constants. Draw a schematic of the system. Define and label a coordinate system. State assumptions and boundary conditions. b. Derive the governing differential equation for the heat transport and solve for the temperature profile by applying the boundary conditions. c. At what point will the actual temperature differ most from that which would exist is the case of constant thermal conductivity?

Answers

Engineering Chemical (1) Given that Given that Inner Temp. Iomer Temp. = Tisti Outer Temp. = To Tz (here To > T:) Wall thicknPool (b) We know that for a l-D, Steady state, without heat genered for tion and Variable thermal conductivity system. The geputting back the values of c, and Ca im coon.</p><p>V ** T+?). (T-1[1* £. C7,+8) ber 82 tko (Tit T + BT 1c7.-T){**£ (741) bro this

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