# Questions tagged [heat-transfer-equation]

Questions on the symbolic (DSolve) and numerical (NDSolve) solutions of the heat transfer equation in Mathematica.

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### NDSOLVE-Error (“For the method \!$$\”IDA\“$$, only machine real code is available. ”

I am trying to solve mass transfer equations in an adsorption column to obtain the breakthrough curves. Previously, I asked a question on this and received great help:NDSolve for system of PDEs -Error:...
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### Solving a PDE (2D Laplacian) coupled with an ODE

I have asked this question before, but this is my new attempt and so instead of cluttering the previous one, I am making a new post. I am trying to analytically solve a PDE ($\nabla^2 T(x,y)=0$) ...
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### NDSolve Inconsistent equation dimensions

I am getting an error while trying to solve for a differential equation. It is saying "NDSolveValue::femper: PDE parsing error... Inconsistant equation dimensions." I was wondering if anyone ...
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### Why is there no heat being transfered in my program?

I have been working on this code and am new to this coding language. I have been trying to model the transfer of heat through a hot plastic being cooled in a water bath. For some reason I have not ...
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### How to handle discontinuity in diffusion coefficient?

I am looking to solve the diffusion equation with a discontinuous jump in the diffusion coefficient. In 1D, the diffusion equation for $u(t,x)$ is: $$\partial_t u = \partial_x (D \partial_x u),$$ ...
241 views

### How to define the boundary condition in 1D Heat transfer

I am trying to calculate the heat transfer among a 1-D rod, with one end insulated while the right end is immersed in constant temperature surface T=0. Assume that the initial temperature of the rod ...
67 views

### Heat Equation with insulated ends

I have a problem with Heat Equation.Imagine this.We have this equation ----> ut=uxx with boundary conditions u(0,t)=0 u(25,t)=0 and initial condition u(x,0)=x. Find u(x,t) and make the Plot ( doesnt ...
236 views

### Laplace equation with robin boundary conditions

I want to solve the following steady state heat transfer problem with robin boundary condition at the bottom: The following is the code for the transient solution, but how should I change the code ...
135 views

### Inconsistent Boundary Conditions on Transient Heat Equation Partial Differential Equation

I am attempting to solve the equation with the Wolfram one-liner ...
231 views

### FEM Mesh related errors

Bug introduced in 12.0. Fixed in 12.1.0. I try to solve the simple heat transfer equation but there are some errors at the stage of the pre-processing. ...
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### NDSolveValue -difference between Version 11.2 and Version 11.3

I am trying to learn something about simulation of heat transfer by looking at this problem which is an answer by user21. If I try this in Version 11.3 the following happens: ...
244 views

### Errors in Solving Heat Equation

I am have trouble with what should be a fairly simple NDSolve operation for the unsteady state heat transfer in a rod. The rod starts off at 20oC, and its surface temperature is fixed at 37oC. I am ...
750 views

### Free Convective Heat Transfer of Non-Newtonian Power Law Fluids from a Vertical Plate

I am trying to solve a set of PDEs mentioned in this paper with NDSolve but facing quite a few issues. The PDE system is: ...
1k views

### Solving two dimensional Heat equation PDE in mathematica [closed]

I am trying to solve the following equation in Mathematica but I do not know each time it only returns the equation itself instead of solving it. I tried both Dsolve and NDsolve and it was not helping ...
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### Couple a PDE and ODE in NDSolve

I would like to solve an example of non-stationary heat transfer with a coupled PDE and ODE. Let's assume that we have 1 dimensional bar of length $L$ with uniform initial temperature. The right end ...
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### How can I solve a 3D heat transfer partial differential equation? [closed]

It's a problem about heat transfer. Here is the equation : Is it solvable using this software? Edit Sorry, I'm new to Mathematica. I have the following code for this problem ...
342 views

### Finite Difference - heat generation in a square (square within a square)

I am trying to develop a code that will allow me to solve the following problem. Lets say that I have a square block, inside that square block I have a smaller square box thats at a certain ...