#2. Consider that the heat conduction equations below each represent the simplest form to accurately describe...
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#2. Consider that the heat conduction equations below each represent the simplest form to accurately describe conduction in a material in two different problems. For each equation, start with the most complex form of the heat conduction equation for that geometry and show how it was simplified to obtain the form below. Answer a) through g) for each equation. (you do not need to follow standard homework format guidelines) pcp ƏT at =k³²7 əx² (K +ėgen მ მ 1 2 (rk 7) + (k³7) + r ər дz = 0 a) Is the geometry rectangular, cylindrical or spherical? b) Is heat transfer steady or transient (unsteady)? c) Is heat transfer one-, two-, or three-dimensional? d) Is there heat generation? e) Is the thermal conductivity of the material constant or variable? f) Is an initial condition needed to solve the heat conduction equation? g) How many boundary conditions are needed to solve the heat conduction equation? #2. Consider that the heat conduction equations below each represent the simplest form to accurately describe conduction in a material in two different problems. For each equation, start with the most complex form of the heat conduction equation for that geometry and show how it was simplified to obtain the form below. Answer a) through g) for each equation. (you do not need to follow standard homework format guidelines) pcp ƏT at =k³²7 əx² (K +ėgen მ მ 1 2 (rk 7) + (k³7) + r ər дz = 0 a) Is the geometry rectangular, cylindrical or spherical? b) Is heat transfer steady or transient (unsteady)? c) Is heat transfer one-, two-, or three-dimensional? d) Is there heat generation? e) Is the thermal conductivity of the material constant or variable? f) Is an initial condition needed to solve the heat conduction equation? g) How many boundary conditions are needed to solve the heat conduction equation?
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