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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2013007029
pages 401-423

TRANSIENT ANALYSIS OF MIXED CONVECTION IN A BOTTOM-HEATED SQUARE CAVITY IN THE PRESENCE OF SURFACE RADIATION

Sikata Samantaray
Siksha 'O' Anusandhan University, ITER, BBSR-751030, ODISHA, INDIA
Swarup Kumar Mahapatra
Indian Institute of Technology Bhubaneswar
Sofen K. Jena
Department of Flows and Materials Simulation, Fraunhofer Institute for Industrial Mathematics (ITWM), Kaiserslautern, Germany, D-67663; Department of Mechanical Engineering, Jadavpur University, Kolkata, India-700032
Amitava Sarkar
Department of Mechanical Engineering, Jadavpur University, Kolkata, India-700032

ABSTRACT

The present analysis reports interesting results regarding the effect of surface radiation on the transient behavior of mixed convection in a bottom-heated cavity having gray and diffuse walls. Movement of the walls causes shear-induced flow within the cavity, which either augments or attenuates the buoyancy-induced flow and results mixed convection. The effect of various influencing parameters such as the Rayleigh number (Ra), Richardson number (Ri), wall movement direction, and emissivity of the walls (ε) on the flow and heat transfer characteristics has been analyzed. Weak conservative form of governing equations are solved using the modified Marker and Cell method. A gradient-dependent consistent hybrid upwind scheme of the second order is used for discretization of the convective terms in the flow equation. An operator splitting algorithm is used to solve the energy equation. The surface radiation transport equation has been solved using the net radiation method. It is noticed from the present analysis that the dominance of shear-induced flow is more compared to buoyancy-induced flow in the case of horizontal wall movement. The time required to attain steady state is more for vertical wall movement in mixed convection regimes. The oscillating behavior of the average heat transfer with time; increases with the increase in the Rayleigh number and emissivity. Unicellular and multi-cellular flow structures are observed depending on the type of wall movement and other controlling parameters.


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