MHD Free Convective Flow of Water near 4℃ past a Vertical Moving Plate with Constant Suction
- 1 Department of Mathematics, University of Ioannina, Ioannina, Greece
- 2 Instituto de Matemática, Estatística e Computa??o Científica, Universidade Estadual de Campinas, Campinas, Brasil
- 3 Department of Mathematics, University of Ioannina, Ioannina, Greece
Abstract
The aim of this work is the study of the magnetohydrodynamic (MHD) unsteady free convective flow of water near 4 ℃ past an infinitely vertical plate moving with constant velocity. The influence of constant uniform suction was also considered. The partial differential equations (PDEs) and their initial and boundary conditions, describing the problem under consideration, are dimensionalized and the numerical solution is obtained by using the finite volume discretization methodology which is suitable for Fluid Mechanics applications. The numerical results for the velocity and temperature fields are shown in figures for different dimensionless parameters entering in the problem under consideration, such as the magnetic parameter, M and the Grashof number, Gr . This study predicts the effects of a constant magnetic field and uniform suction on the free convective flow of water near 4 ℃ , when the water is electrically conductive. Analysis of the results showed that the velocity and temperature profiles are noticeably influenced by these parameters.
- S. Goren, “On Free Convection in Water at 4℃,” Chemical Engineering Science, Vol. 21, No. 6-7, 1966, pp. 515-518. doi:10.1016/0009-2509(66)85065-0
- T. Govindarajulu, “Free Convection Flow of Water at 4℃ on Vertical and Horizontal Plates,” Chemical Engineering Science, Vol. 25, No. 11, 1970, pp. 1827-1828. doi:10.1016/0009-2509(70)80076-8
- V. Soundalgekar, “Free Convection Effects on the Oscillatory Flow of Water at 4℃ past an Infinite Vertical, Porous Plate with Constant Suction,” Heat and Mass Transfer, Vol. 9, 1976, pp. 111-115.
- I. Pop and A. Raptis, “A Note on Transient Free Convection of Water at 4℃ over a Doubly Infinite Vertical Porous Plate,” Journal of Heat Transfer-Transactions of the ASME, Vol. 104, 1982, pp. 800-802. doi:10.1115/1.3245206
- A. Raptis and I. Pop, “Combined Convection Flow of Water at 4℃ through a Porous Medium Bounded by a Vertical Surface,” Letters in Heat and Mass Transfer, Vol. 9, 1982, pp. 309-318. doi:10.1016/0094-4548(82)90039-X
- A. Raptis and C. Perdikis, “Free Convection Flow of Water at 4?C past an Infinite Porous Plate with Constant Suction and Free Stream Velocity,” Bulletin de la Classe des Sciences Academie Royale de Belgique, 5th Series—Tome LXVIII, 1982-1984, pp. 259-266.
- A. Singh and A. Raptis, “Free-Convection Flow of Water at 4℃ past an Infinite Vertical Porous Plate with Constant Heat Flux,” Astrophysics and Space Science, Vol. 104, 1984, pp. 399-404. doi:10.1007/BF00650312
- S. Ling, R. Nazar and I. Pop, “Steady Mixed Convection Boundary Layer Flow over a Vertical Flat Plate in a Porous Medium Filled with Water at 4℃: Case of Variable Wall Temperature,” Transport in Porous Media, Vol. 69, No. 3, 2007, pp. 359-372. doi:10.1007/s11242-006-9077-0
- S. Ling, R. Nazar and J. Merkin, “Steady Mixed Convection Boundary-Layer Flow over a Vertical Flat Surface in a Porous Medium Filled with Water at 4℃: Variable Surface Heat Flux,” Transport in Porous Media, Vol. 70, No. 3, 2007, pp. 307-321. doi:10.1007/s11242-007-9101-z
- H. Oztop, Y. Varol and I. Pop, “Investigation of Natural Convection in Triangular Enclosure Filled with Porous Media Saturated with Water near 4℃,” Energy Conversion and Management, Vol. 50, No. 6, 2009, pp. 1473-1480. doi:10.1016/j.enconman.2009.02.023
- J. Merkin and V. Kumaran, “Free Convection Stagnation-Point Boundary-Layer Flow in a Porous Medium with a Density Maximum,” International Journal of Thermal Sciences, Vol. 50, No. 11, 2011, pp. 2176-2183. doi:10.1016/j.ijthermalsci.2011.05.012