Two slabs with thermal conductivities k and kg meet at x=0. Both slabs have uniform heat...

 

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Two slabs with thermal conductivities k and kg meet at x=0. Both slabs have uniform heat generation gen. The slabs are cooled by convection (as h,T shown in Figure) with heat transfer coefficients and ambient temperatures being the same on both sides, equal to h and T respectively. The two slabs have a contact thermal resistance, equal to Rcontact, between them. gen ger gen k KB h,T Rcontact x=-L x=0 x=L a) What are the boundary conditions at x=0? (20 points) b) Solve for the temperature profile in the two slabs. Use as much of the solution as you can from the posted solutions for Problem 2 on Pset 3. (30 points) c) What is the temperature profile in the two slabs when Rcontact=co? Could you have derived the temperature profile for this case (Rcontact = 0) using the simpler energy balance approach? Explain your answer. (10 points) Two slabs with thermal conductivities k and kg meet at x=0. Both slabs have uniform heat generation gen. The slabs are cooled by convection (as h,T shown in Figure) with heat transfer coefficients and ambient temperatures being the same on both sides, equal to h and T respectively. The two slabs have a contact thermal resistance, equal to Rcontact, between them. gen ger gen k KB h,T Rcontact x=-L x=0 x=L a) What are the boundary conditions at x=0? (20 points) b) Solve for the temperature profile in the two slabs. Use as much of the solution as you can from the posted solutions for Problem 2 on Pset 3. (30 points) c) What is the temperature profile in the two slabs when Rcontact=co? Could you have derived the temperature profile for this case (Rcontact = 0) using the simpler energy balance approach? Explain your answer. (10 points)

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Solution Given Meeting at x0 are two slabs with thermal conductivities of k and k There is consistent heat generation in both slabs Convection is used ... View the full answer