Entropy generation in Marangoni convection flow of heated fluid in an open ended cavity. (English) Zbl 1227.80034
Summary: Numerical simulations have been conducted to study the influence of thermocapillary forces on the natural convection of a Newtonian fluid contained in an open cavity. The heated molecules of the fluid are allowed to enter the cavity region to cause the convection flow. The top horizontal surface of the cavity is assumed to be flat and free. The non dimensional partial differential equations that govern the flow and thermal fields are solved using alternate direct implicit (ADI) method together with successive over relaxation (SOR) scheme. The simulation results show that the active spot of maximum entropy generation depends on the magnitudes of Grashof number and Prandtl number, respectively. Entropy generation rate increases with the increase in the Marangoni number. The entropy generation number increases from 1 to 1.5 in the range \(0 \leqslant Ma \leqslant 175\) for \(Ec = 10^{ - 4}, Gr = 2 \times 10^{3}, Pr = 0.054\). The Eckert number is considered in the range of \(0 \leqslant Ec \leqslant 0.0002\).
MSC:
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
| 76R10 | Free convection |
| 80M20 | Finite difference methods applied to problems in thermodynamics and heat transfer |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D45 | Capillarity (surface tension) for incompressible viscous fluids |
Keywords:
open cavity; natural convection; Marangoni convection; entropy generation; thermocapillary force; Prandtl number; Marangoni number; Nusselt number; Grashof numberReferences:
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