# Questions tagged [heat-transfer]

For questions about modeling heat transfer, often through the use of heat (differential) equation.

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### Why does scipy Conjugate Gradient solver fail to converge for non-steady heat equation using Crank-Nicolson method

Could someone please explain why my implementation of the Crank-Nicolson method applied to the non-steady heat equation won't converge? There shouldn't be any nonlinear aspects to my implementation ...
108 views

### Efficient heat diffusion implementation with varying coefficients

I have the following heat diffusion equation: \begin{alignat}{3} \partial_t u(t, \vec{x}) &= g(\vec{x})\Delta u(t,\vec{x}), &\quad& \vec{x} \in\Omega, \, t\in(0,\infty],\\ \partial_n u(t,\...
93 views

### Prediction of sphere (i.e. roast) core temperature heated in an oven

The real-life problem Assume I put a spherical roast with initially constant temperature of start_temp=25 (°C) into an oven with ...
1 vote
130 views

### 2D Heat equation solved with finite element method converges in skewed way

I tried to solve the 2D heat equation with the finite element method, using triangles as elements. Currently generated by a Delaunay triangulation. The base function I'm currently using is basically ...
76 views

102 views

### Conceptual doubt regarding 2D conjugate heat transfer modelling (COMSOL and Mathemtica)

I have been dealing with some conceptual flaws in my understanding of modelling, which I will elaborate herein. I am modelling conjugate heat transfer of a reciprocating fluid, which flows with ...
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103 views

### Correct approach for thermal finite element simulation of layered assembly

I would like to optimise the heat transfer on a PCB. Several dies are on the top and cooling air is going through the fins in heat sink on the bottom. The assembly consists of several layers like ...
312 views

### Solution method of nonlinear heat transfer analysis

The governing equation of transient heat transfer analysis is described as follows: $$C \frac{dT}{dt}+K T = Q$$ When using backward difference scheme for the discretization of the time we get the ...