Question

Problem X2-6, Heat Transfer, Spring 2018 Heat is being generated uniformly throughout a sphere at volumetric rate i. The radius of the sphere is R and the sphere is made of a material having thermal conductivity k . The temperature at the surface of the sphere is Assume one- dimensional steady conduction in the radial direction and do the following: a) Use the equation (2.14 b) for in spherical coordinates and the heat diffusion equation to produce the differential equation that models the conduction in the sphere. b) Find the general form of the solution for Tir) answer Tir) c) Show that -0 d) Find the temperature st the center of the sphereanser T,- 6k r 6k Problem X2-7, Heat Transfer, Spring 2018 Heat is generated uniformly inside a 0.2-m thick plane wall at a rate of 2000 Wims. The thermal conductivity of the wall ia = 2.5 w/m·K. The temperature on the left-band side or the wall is maintained at 7: =3300. The right-hand side of the wall is exposed to a convection environment with T, = 5°C and h = 15 W/mt.K. a) Use x =0 at the left wall with x+-> and golve the heat diffusion equation to find T(x) (answer: T(x)--400x2 +40x+83°C). Find the rate of conduction heal uransfer at the lefi-hand side of the wall (answer: 100 Wim 24-), b) e) Tind the temperature and the rate of conduction heat transfer at the right-hand side of the wall (answers:1,-25°C und 300 wur→). ← 0.2 m

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Thank you

Answer 1

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