Differentially Heated Cavity With Radiative Heat Transfer

Problem Definition:

A simple differentially heated cavity problem with . All the walls are assumed to be black. The initial temperature of the cavity is 600K and for a temperature difference parameter (Boussinesq parameter ) we obtain hot and cold wall temperature as 800 K and 400 K with top and bottom walls are adiabatic. The problem is shown in Fig. 1.1.




Figure 1.1: Differentially heated cavity with radiative heat transfer


The variation of local nusselt number at hot and cold walls is shown in Fig. 1.2, the variation of isotherms and streamlines along with velocity variation along the horizontal and vertical centerline and a detailed comparison of average Nusselt number are also presented with the results of Darbandi and Abrar[1].



Figure 1.2: Heat flux at hot and cold walls



Figure 1.3: Velocity variation along the horizontal and vertical centreline




(a)



(b)

Figure 1.4: Isotherms (a)Present (b)Darbandi(2014)

[1] M. Darbandi and B. Abrar, A Compressible Approach to Solve Combined Natural Convection-Radiation Heat Transfer in Participating Media, Numerical Heat Transfer B, vol. 66, pp. 446-469, 2014.