Week 5.1 - Mid term project - Solving the steady and unsteady 2D heat conduction problem

based on the question the above steady and unsteady state for 2d linear heat

the heat equation for the partial differential equation is descried from the equation for a function f(x,y,z,t)have the three cartician equation as show below with the tome variable

du/dt=alpha*(d^2*u/dx^2+d^2*u/dy^2+d^2*u/dz^2)

alpha is the diffusion of the medium of the heat transfer

types of heat conduction process as listed below

steady state

unsteady state

unsteady state are depended on the steady state process,no system exisits intial under the steady state,some time has to pass for heat must be transfer before reaches the steady state

time loop logic from the class

convergence loop

nodal loop

end

update the old values

end

update previous time step value

repeat the process for untill it atain the steady state value

tl= left boundary

tt=top boundary

tr=right boundary

tb=bottom boundary