I have considered first ten positive roots of Beta's and gamma's. final equation is in the form of T(x,r,t)= ∑ ∑(m=1 to ∞)(n=1 to ∞) e(- α(βm^2+γn^2)t Cmn A(βm,x)B( γn,r). I can find the values of Cmn,A and B by the roots and putting values of material's properties, but how can i graphically illustrate the temperature distribution?
A detailed derivation and outline of the solution for transient heat conduction in a cylinder can be downloaded from my site: https://sites.google.com/site/chemengwithmathematica/home
Go to heat transfer section and you can find what you need. You can download a PDF or the Mathematica notebook that shows how to actually compute the eigenvalues and construct and plot the numerical solution. As noted by Juan, you can also use Matlab to plot the solution for different time slices.
you can make surfaces plotting using MATLAB, you will get many surfaces for many "dt". For example, you can put t=0 and with that, you are ready to obtain a Matrix output called Temperature with an input Matrix wich has the x,y information. I suggest to solve in Matlab. Then repeat the procedure with t=0.1 then with t=0.2 etc etc.
Dear Juan that's seem to be very nice suggestion. i am new in matlab, i don't know how to do surface plotting.Can you please send code or some useful links how to plot heat transfer problem in matlab? Thanks for your time.
I hope the enclosed file can help you. The investigation was oriented to an two dimentional heat transfer with an special boundary condition. Here the temperature no depends of time, but, as I suggested, only put t=0 for the first step, then t=0.001 or t=0.1 for the sencond step and so on...
A detailed derivation and outline of the solution for transient heat conduction in a cylinder can be downloaded from my site: https://sites.google.com/site/chemengwithmathematica/home
Go to heat transfer section and you can find what you need. You can download a PDF or the Mathematica notebook that shows how to actually compute the eigenvalues and construct and plot the numerical solution. As noted by Juan, you can also use Matlab to plot the solution for different time slices.
any one help me explicit1D transient heat transfer matlab code by supplying heat flux by one side
- Badges
- Science topic
- Similar topics
- Engineering
- Thermal Engineering
- Thermofluid
- Heat Transfer