In this paper, results on double diffusive mixed convection in a lid-driven cavity are discussed in detail with a focus on the effect of interaction between fluid inertial force and thermosolutal buoyancy forces on convective heat and mass transfer. The governing equations for the mathematical model of the problem consist of vorticity transport equation, velocity Poisson equations, energy equation and solutal concentration equation. Numerical solution for the field variables are obtained by solving the governing equations using Galerkin’s weighted residual finite element method. The interaction effects on convective heat and mass transfer are analyzed by simultaneously varying the characteristic parameters, , , and buoyancy ratio (N), . In the presence of strong thermosolutal buoyancy forces, the increase in fluid inertial force does not make significant change in convective heat and mass transfer when the thermal buoyancy force is smaller than the fluid inertial force. The fluid inertial force enhances the heat and mass transfer only when the thermal buoyancy force is either of the same magnitude or greater than that of the fluid inertial force. The presence of aiding solutal buoyancy force enhances convective heat transfer only when Ri becomes greater than unity but at higher buoyancy ratios, the rate of increase in heat transfer decreases for and increases for . No significant change in heat transfer is observed due to aiding solutal buoyancy force for irrespective of the Reynolds number.
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November 2010
This article was originally published in
Journal of Heat Transfer
Research Papers
Numerical Analysis of Interaction Between Inertial and Thermosolutal Buoyancy Forces on Convective Heat Transfer in a Lid-Driven Cavity
D. Senthil kumar,
D. Senthil kumar
Research Scholar
Department of Mechanical and Industrial Engineering,
Indian Institute of Technology Roorkee
, Roorkee 247 667, India
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K. Murugesan,
K. Murugesan
Assistant Professor
Department of Mechanical and Industrial Engineering,
e-mail: krimufme@iitr.ernet.in
Indian Institute of Technology Roorkee
, Roorkee 247 667, India
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Akhilesh Gupta
Akhilesh Gupta
Professor
Department of Mechanical and Industrial Engineering,
Indian Institute of Technology Roorkee
, Roorkee 247 667, India
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D. Senthil kumar
Research Scholar
Department of Mechanical and Industrial Engineering,
Indian Institute of Technology Roorkee
, Roorkee 247 667, India
K. Murugesan
Assistant Professor
Department of Mechanical and Industrial Engineering,
Indian Institute of Technology Roorkee
, Roorkee 247 667, Indiae-mail: krimufme@iitr.ernet.in
Akhilesh Gupta
Professor
Department of Mechanical and Industrial Engineering,
Indian Institute of Technology Roorkee
, Roorkee 247 667, IndiaJ. Heat Transfer. Nov 2010, 132(11): 112501 (11 pages)
Published Online: August 13, 2010
Article history
Received:
August 19, 2009
Revised:
May 3, 2010
Online:
August 13, 2010
Published:
August 13, 2010
Citation
Senthil kumar, D., Murugesan, K., and Gupta, A. (August 13, 2010). "Numerical Analysis of Interaction Between Inertial and Thermosolutal Buoyancy Forces on Convective Heat Transfer in a Lid-Driven Cavity." ASME. J. Heat Transfer. November 2010; 132(11): 112501. https://doi.org/10.1115/1.4002029
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