Robin boundary condition for cooling

[Ojo Saheed]

Hello all,
I am solving a heat transfer problem for cooling of laminate plate in a cooling press and I intend to use a Robin boundary condition on one of the sides to evaporate heat away from the plate. The Robin boundary equation is specified thus:

k∂T(t)/∂n + hT(t) = g(t)

where k is the plate thermal conductivity, h is the convective heat transfer and g(t) is a force term to enhance cooling of the plate. I want a function to express g(t) but don't know how. Anyone with an idea should help. thanks

 

[eljose79]

Hello,

Thank you for sharing your problem with us. It sounds like you are working on an interesting heat transfer problem. In order to determine the function g(t) for the Robin boundary condition, you will need to consider the specific properties and parameters of your cooling press and laminate plate.

First, you will need to determine the convective heat transfer coefficient, h, which is dependent on the properties of the fluid and the flow conditions in your cooling press. This can be calculated using established correlations or through experimental testing.

Next, you will need to consider the plate thermal conductivity, k, which is a material property and can be found in literature or through experimental testing. This will help determine the rate at which heat is transferred through the plate.

Finally, you will need to determine the force term, g(t), which is used to enhance the cooling of the plate. This can be achieved through several methods such as using a fan or a refrigerant to increase the convective heat transfer, or by using a cooling medium with a lower temperature to enhance the temperature gradient and increase the rate of heat transfer.

Once you have determined these parameters, you can use the Robin boundary condition equation to solve for g(t). It may be helpful to consult with a heat transfer expert or conduct further research on similar cooling processes to guide your calculations.

I hope this helps and wish you the best of luck with your heat transfer problem!