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# Combined Radiation Natural Convection Heat Transfer Modeling

## Simulation of Combined Radiation Natural Convection in ANSYS Fluent

In this tutorial, we provide guidelines for modeling and simulation of a combined radiation natural convection problem. We use a 3D square box and hexahedral elements for meshing.

### You will also learn how to do the following through this tutorial:

• Employ the surface-to-surface (S2S) radiation model
• Using appropriate boundary conditions for a combined radiation and natural convection heat transfer problem
• Using the pressure-based solver to calculate a solution
• Also, plot velocity vectors and contours of wall temperature, surface cluster ID, and radiation heat flux

### Problem Description of Combined Radiation Natural Convection heat transfer problem

We model a three-dimensional box (0.25m×0.25m×0.25m). The wall has a hot wall of aluminum at 473 K. All other walls are insulated. Heat transfers to the surroundings by radiation and convection. The surroundings are at 293 K and Gravity acts downwards.

The purpose of the simulation is to compute the flow and temperature patterns in the box. Also, we calculate the wall heat flux, using the surface-to-surface (S2S) model. We also assume that the medium contained in the box does not emit, absorb, or scatter radiation. It is notable that all walls are gray. The Prandtl of the working fluid is 0.71, and the Rayleigh number is 10^8. Therefore, the flow is most likely laminar. The Planck number is 0.006, and measures the relative importance of conduction to radiation.