MODULES
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Turbulent Natural Convection With Surface Radiation
Problem Definition:
Turbulent natural convection with surface radiation in a differentially heated square cavity is numerically solved and the results are compared with published result. The geometry of the problem is given in Fig. 3.1. Standard κ − ǫ model is used. The problem is solved for Ra = 107 with є= 0.6 in all the walls.
Parameters used:
In the Raleigh number calculations, L = W
Figure 3.1: Geometry of Turbulent Natural convection with surface radiation
The isotherms for Ra = 107 with emissivity 0.6 is shown in Fig. 3.2(b). It can be seen that a thermal boundary layers are formed close to the vertical isothermal walls. The isotherms are compared with the Miroshnichento and Sheremet [1] as seen in Fig. 3.2(a).Average nusselt number due to convection and the radiation along the left wall is shown in the table 3.1. It can be seen that the present results are in good agreement with the published results.
(a)
(b)
Figure 22.2: Isotherms (a) Miroshnichento and Sheremet (b) Present result
Table 3.1: Average Nusselt number comparison
[1] Miroshnichento I.V. and Sheremet M.A. (2014) ‘Numerical simulation of turbulent natural convection combined with surface thermal radiation in a square cavity’, International Journal of Numerical Methods for Heat & Fluid Flow, vol. 25, pp. 1600–1618.
