- #1

HumanistEngineer

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- TL;DR Summary
- Temperature propagation through an insulated pipe in time

The solution of convection-diffusion equation with a heat sink (heat loss from pipe to the ground)

Hi Again,

I try to solve the transient temperature propagation through a buried insulated pipe by means of solving the convection-diffusion equation with a heat sink that is the heat loss from the water mass to the ground. Below you can see the details of my calculation steps in my numerical analysis.

The problem is that my results are oscillating and/or abnormal. Would you please check my finite difference approximations, if they are correct or not?

Details:

I try to solve the transient temperature propagation through a buried insulated pipe by means of solving the convection-diffusion equation with a heat sink that is the heat loss from the water mass to the ground. Below you can see the details of my calculation steps in my numerical analysis.

The problem is that my results are oscillating and/or abnormal. Would you please check my finite difference approximations, if they are correct or not?

Details:

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