Q5. The following equation shows unsteady state heat conduction in one dimension within a long, thin aluminium rod. ОТ 0
Posted: Mon May 16, 2022 2:12 pm
please solve the question and show all steps
Q5. The following equation shows unsteady state heat conduction in one dimension within a long, thin aluminium rod. ОТ 02T k at ax2 The rod is 10 cm long. Initially i.e., at time, t = 0, the temperature (T) of the entire rod is zero and the boundary conditions are fixed for all times at T(x = 0) = 100°C & T(x = 10) = 50°C. Assume At = 0.1 sec, Ax = 2.5 cm, k = 0.835 cm²/s. = 2 Implement the Runge-Kutta 4th order technique combined with the finite difference technique (centred difference scheme) for the given system to find the temperature (T) distribution within the rod (i.e. along x-axis) at time, t = 0.1 seconds. [30 Marks]
Q5. The following equation shows unsteady state heat conduction in one dimension within a long, thin aluminium rod. ОТ 02T k at ax2 The rod is 10 cm long. Initially i.e., at time, t = 0, the temperature (T) of the entire rod is zero and the boundary conditions are fixed for all times at T(x = 0) = 100°C & T(x = 10) = 50°C. Assume At = 0.1 sec, Ax = 2.5 cm, k = 0.835 cm²/s. = 2 Implement the Runge-Kutta 4th order technique combined with the finite difference technique (centred difference scheme) for the given system to find the temperature (T) distribution within the rod (i.e. along x-axis) at time, t = 0.1 seconds. [30 Marks]