Solving the Heat Diffusion Equation (1D PDE) in Matlab

[anjalibhattarai]

Great tutoring!! You saved me in graduate project

[kedarshete]

Thank you Kody for this video. Very clearly shows how a finite difference method works, and is different from other techniques like finite volume. Conservation is not imposed in finite difference, as the video shows, Temperature at previous timestep is used to predict fluxes.

[johangoethe]

Thank you very much. It was so, so useful !!!

[baacademy]

quite educative, thanks. please further with 2D HEAT DIFFUSION.

[tapasbhattacharya]

Wonderful tutorial. Very nicely presented.

[sarahgayot]

Thanks a lot for this, a colleague forwarded it to me and it is really great :)

[jeppelarsen]

Hey this is a fantastic Video!! You just simply helped me solving a PDE without ever having to touch Fourier series!!! Thank you!!!

But what if your starting condition at x=0 is a heat input of q_convek = 400W, and you know the temperatur far away from the surface T(x=-0.5*L, t=0) = 2000K, but you don't know T(0, 0).

Basicly I want to simulate wall temperture in a combustion engine cylinder, and I know T(L, 0)=0, T(-0.5*L, 0)~2000, qdot(0, t=0:t_final) = 400W

[mariadelafuenteruiz]

How does the analytical solution looks like when having a flux in the east boundary condition?

[chucknorris]

Kody, excellent video. How would the equations change if we were to look at a triangular section? It has been years since I took this course.

[sohaibkhan]

great tutorial... very helpful... thankyou

[luciagerman]

great video!!! thank you. i wrote figure instead of figure(1) and ended with Matlab making 5001 plots though lmao

[nodddyyyy]

Is it possible to have T2s not be set as constant with these equations? Also can this be modified to use a non constant specific heat value ie varying with temperature?

[hellsing]

How would you include heat exchange with environment? Have a bar at constant temperature (e.g. 400C) and and instead of surface temperature give outside temperature (20C). How would you calculate heat exchange with environment in this case?

[saeedrastegar]

thx a lot. it was perfect. i have a question. when we have three insulations layers, how we should write the code?

[abdel-gqpo]

in lines 26 and 27, I think the first derivative near the walls should be divided by dx*(dx/2) and not dx^2. the distance between each wall and its adjacent node is dx/2.

[manishkala]

Thank you sir. In this code wanted to plot surface plot of x, t and T. But it is showing error. Can anyone give suggestion.

[shadankazempoursabahi]

Thanks for the video. I want to use this code for concentration diffusion in a film is that possible? Because when i put my values for concentrations instead of Temparatures is starts to explode and its not working as nice as here.

[krishnendupaul]

can we plot t vs T here? if possible then please tell me how. thank you

[pedrovinicius]

Hey, Im trying to do the same process but with two different materials any advise?

[naziabinte]

In line 7, dx should be l/(n-1), no?