Hello All,
I want to plot heat lines.
I have simulated three dimensional heat and fluid flow problem in Fluent. I have the data for velocity, temperature fields. Now I want to obtain an unknown function "theta" by solving the below equation: curl(theta) = rho*cp*(V)*T - k*(grad T) where the terms on the right hand side (density, specific heat, velocity vector, temperature, thermal conductivity) are known from data. The left hand side contains curl of an unknown function “Theta”. I want to find this “Theta” variation which gives me heat function distribution. Is it possible? If so, I request the procedure how it is to be done. This "theta" is the heat flux vector potential in three Dimensions.
The reference article on this subject is "Peter Vadasz, Heat Flux Vector Potential in Convective Heat Transfer", Journal of Heat Transfer, 140(2018) 051701-1
Thanks & Regards, vidyadhar
I am not sure to understand what is theta (I have never seen such a relation) it is a vector field not a scalar function, should theta be identified as the gradient of the temperature?
Anyway, if k is constant you can apply the curl to both term of the relations and write three elliptic equations for theta with the vorticity components as source terms.
Thank you Filippo Maria Denaro for the reply.
I have received similar replies from
(i) ANSYS StudentCommunity located in the third post at https://studentcommunity.ansys.com/thread/solving-equation-involving-simulation-data-in-fluent/
Here they recommended an article where the authors have used matlab script to plot heat lines
(ii) discourse_paraview: https://discourse.paraview.org/t/solving-equation-to-find-an-unknown-function/3579/5
Thank you for the suggestions.
Vidyadhar
https://www.mathworks.com/help/matlab/visualize/creating-3-d-plots.html
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