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Set up the mathematic formulation with boundary conditions of the following heat conduction problems (1) A slab in 0sxsL is initially at a temperature F(x). For times t> 0, the boundary at x=0 is kept insulated and the boundary at x-L dissipated heat by convection into the ambient at zero temperature. Assume the k is thermal conductivity coefficient, ha is the convective coefficient. Heat capacity is pC,. (2) A semi-infinite region 0 sxso is an initially at a temperature F(x). For time t>0, heat is generated in the medium at a constant rate of go W/m³, while the boundary at x=0 is kept at zero temperature.

Set up the mathematic formulation with boundary conditions of the following heat conduction problems (1) A slab in 0sxsL is initially at a temperature F(x). For times t> 0, the boundary at x=0 is kept insulated and the boundary at x-L dissipated heat by convection into the ambient at zero temperature. Assume the k is thermal conductivity coefficient, ha is the convective coefficient. Heat capacity is pC,. (2) A semi-infinite region 0 sxso is an initially at a temperature F(x). For time t>0, heat is generated in the medium at a constant rate of go W/m³, while the boundary at x=0 is kept at zero temperature.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Set up the mathematic formulation with boundary conditions of the following heat conduction problems (1) A slab in 0 sxsL is initially at a temperature F(x). For timest>0, the boundary at x=0 is kept insulated and the boundary at x=L dissipated heat by convection into the ambient at zero temperature. Assume the k is thermal conductivity coefficient, hạ is the convective coefficient. Heat capacity is pC,. P (2) A semi-infinite region 0 s xs∞ is an initially at a temperature F(x). For time t>0, heat is generated in the medium at a constant rate of go W/m³, while the boundary at x=0 is kept at zero temperature.
Transcribed Image Text:4. Set up the mathematic formulation with boundary conditions of the following heat conduction problems (1) A slab in 0 sxsL is initially at a temperature F(x). For timest>0, the boundary at x=0 is kept insulated and the boundary at x=L dissipated heat by convection into the ambient at zero temperature. Assume the k is thermal conductivity coefficient, hạ is the convective coefficient. Heat capacity is pC,. P (2) A semi-infinite region 0 s xs∞ is an initially at a temperature F(x). For time t>0, heat is generated in the medium at a constant rate of go W/m³, while the boundary at x=0 is kept at zero temperature.
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