Consider a 2-D object consisting of two triangle compartments, as shown in Figure P9.4. Suppose a solution containing a 511 KeV gamma ray emitting radionuclide with concentration f = 0.5….
prepare a plot of the nondimensional temperature as a function of dimensionless time.
1- A 1-D slab, 0 = x = L, is initially at zero temperature. For times t > 0, the boundary at x = 0 dissipates heat by convection into a surrounding at To with a convection coefficient h, the boundary at x = L is kept at zero temperature, and there is internal energy generation within the solid at a constant rate of g0 (W/m3). Formulate the problem for the temperature distribution in appropriate dimensionless form, and derive a solution using the SOV method to find a relation for the temperature distribution q(X,t) in the solid region. Finally, prepare a plot of the nondimensional temperature as a function of dimensionless time.