- 2 The Rate Of Heat Flow Conduction Between Two Points On A Cylinder Heated At One End Is Given By Dt Dq De Aa Dr Dt D 1 (59.98 KiB) Viewed 72 times
2. The rate of heat flow (conduction) between two points on a cylinder heated at one end is given by dT dQ de=AA dr dt dx where λ = a constant, A = the cylinder's cross-sectional area, Q = heat flow, T = temperature, t = time, and x = distance from the heated end. Because the equation involves two derivatives, we will simplify this equation by letting dT dx 100(Lx) (20- t) (100- xt) where L is the length of the rod. Combine the two equations and compute the heat flow for t = 0 to 25 s. The initial condition is Q(0) = 0 and the parameters are λ = 0.5 cal cm/s, A = 12 cm2, L = 20 cm, and x = 2.5 cm. Use 2nd order of Runge-Kutta to solve the problem.