×

Unsteady MHD free convection flow with Hall effect of a radiating and heat absorbing fluid past a moving vertical plate with variable ramped temperature. (English) Zbl 1401.76167

Summary: Unsteady hydromagnetic free convection flow of a viscous, incompressible, electrically conducting, optically thick radiating and heat absorbing fluid past an accelerated moving vertical plate with variable ramped temperature is investigated. Exact solution of the governing equations for the fluid velocity and fluid temperature are obtained by Laplace transform technique. The numerical values of primary and secondary fluid velocities and fluid temperature are displayed graphically whereas those of shear stress and rate of heat transfer at the plate are presented in tabular form for various values of pertinent flow parameters.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
76R10 Free convection
81V70 Many-body theory; quantum Hall effect
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Howell, J. R.; Siegel, R.; Menguc, M. P., Thermal Radiation Heat Transfer (2010), CRC Press: CRC Press New York
[2] Chamkha, A. J., Thermal radiation and buoyancy effects on hydromagnetic flow over an accelerating permeable surface with heat source or sink, Int. J. Eng. Sci., 38, 1699-1712 (2000) · Zbl 1210.76212
[3] Elbashbeshy, E. M.A.; Emam, T. G., Effects of thermal radiation and heat transfer over an unsteady stretching surface embedded in a porous medium in the presence of heat source or sink, Therm. Sci., 15, 477-485 (2011)
[4] Pal, D., Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface, Commun. Nonlinear Sci. Numer. Simul., 16, 1890-1904 (2011)
[5] Makinde, O. D., Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation, Meccanica, 47, 1173-1184 (2012) · Zbl 1293.76173
[6] Chandran, P.; Sacheti, N. C.; Singh, A. K., Natural convection near a vertical plate with ramped wall temperature, Heat Mass Transf., 41, 459-464 (2005)
[7] Rajesh, V., Radiation effects on MHD free convection flow near a vertical plate with ramped wall temperature, Int. J. Appl. Math. Mech., 6, 60-77 (2010) · Zbl 1242.76365
[8] Khan, Samiulhaq,I.; Ali, F.; Shafie, S., MHD free convection flow in a porous medium with thermal diffusion and ramped wall temperature, J. Phy. Soc. Jpn, 81, Article 044401 pp. (2012), http://dx.doi.org/10.1143/JPSJ.81.044401
[9] Das, K., Magnetohydrodynamics free convection flow of a radiating and chemically reacting fluid past an impulsively moving plate with ramped wall temperature, J. Appl. Mech., 79, Article 061017 pp. (2012)
[10] Nandkeolyar, R.; Das, M., MHD free convective radiative flow past a flat plate with ramped temperature in the presence of an inclined magnetic field, Comp. Appl. Math., 34, 109-123 (2015) · Zbl 1446.76184
[11] Nandkeolyar, R.; Sibanda, P.; Ansari, Md. S., Unsteady hydromagnetic radiative flow of a dusty fluid past a porous plate with ramped wall temperature, (Proceedings of the Annual ASME International Mechanical Engineering Congress and Exposition, 7A (2013)) · Zbl 1296.76177
[12] Kundu, P. K.; Das, K.; Acharya, N., Flow features of a conducting fluid near an accelerated vertical plate in porous medium with ramped wall temperature, J. Mech., 30, 277-288 (2014)
[13] Seth, G. S.; Hussain, S. M.; Sarkar, S., Hydromagnetic natural convection flow with heat and mass transfer of a chemically reacting and heat absorbing fluid past an accelerated moving vertical plate with ramped temperature and ramped surface concentration through a porous medium, J. Egypt. Math. Soc., 23, 197-207 (2015) · Zbl 1311.76147
[14] Pop, I.; Watanabe, T., Hall effects on magnetohydrodynamic free convection about a semi-infinite vertical flat plate, Int. J. Eng. Sci., 32, 1903-1911 (1994) · Zbl 0899.76374
[15] Aboeldahab, E. M.; Elbarbary, E. M.E., Hall current effect on magnetohydrodynamic free convection flow past a semi-infinite vertical plate with mass transfer, Int. J. Eng. Sci., 39, 1641-1652 (2001) · Zbl 1210.76207
[16] Seth, G. S.; Sarkar, S.; Mahato, G. K., Effects of Hall current on hydromagnetic free convection flow with heat and mass transfer of a heat absorbing fluid past an impulsively moving vertical plate with ramped temperature, Int. J. Heat Tech., 31, 85-96 (2013)
[17] Das, S.; Sarkar, B. C.; Jana, R. N., Hall effect on MHD free convection boundary layer flow past a vertical flat plate, Meccanica, 48, 1387-1398 (2013) · Zbl 1293.76168
[18] Cramer, K. R.; Pai, S. I., Magnetofluid Dynamics for Engineers and Applied Physicists (1973), McGraw Hill Book Company: McGraw Hill Book Company New York, USA
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.