Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity

doi:10.1007/s10483-012-1578-x

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (5): 663-678.doi: https://doi.org/10.1007/s10483-012-1578-x

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Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity

M. A. A. MAHMOUD, S. E. WAHEED

Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

收稿日期:2011-01-04 修回日期:2011-10-26 出版日期:2012-05-10 发布日期:2012-05-10
通讯作者: M. A. A. MAHMOUD, Associate Professor, Ph.D., E-mail: mostafabdelhameed@yahoo.com E-mail:mostafabdelhameed@yahoo.com

Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity

M. A. A. MAHMOUD, S. E. WAHEED

Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

Received:2011-01-04 Revised:2011-10-26 Online:2012-05-10 Published:2012-05-10
Contact: M. A. A. MAHMOUD, Associate Professor, Ph.D., E-mail: mostafabdelhameed@yahoo.com E-mail:mostafabdelhameed@yahoo.com

摘要/Abstract

摘要： This work deals with the influence of thermal radiation on the problem of the mixed convection thin film flow and heat transfer of a micropolar fluid past a moving infinite vertical porous flat plate with a slip velocity. The fluid viscosity and the thermal conductivity are assumed to be the functions of temperature. The equations governing the flow are solved numerically by the Chebyshev spectral method for some representative value of various parameters. In comparison with the previously published work, the excellent agreement is shown. The effects of various parameters on the velocity, the microrotation velocity, and the temperature profiles, as well as the skin-friction coefficient and the Nusselt number, are plotted and discussed.

Abstract: This work deals with the influence of thermal radiation on the problem of the mixed convection thin film flow and heat transfer of a micropolar fluid past a moving infinite vertical porous flat plate with a slip velocity. The fluid viscosity and the thermal conductivity are assumed to be the functions of temperature. The equations governing the flow are solved numerically by the Chebyshev spectral method for some representative value of various parameters. In comparison with the previously published work, the excellent agreement is shown. The effects of various parameters on the velocity, the microrotation velocity, and the temperature profiles, as well as the skin-friction coefficient and the Nusselt number, are plotted and discussed.

中图分类号:

O357

M. A. A. MAHMOUD;S. E. WAHEED. Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 663-678.

参考文献

[1] Sakiadis, B. C. Boundary layer behavior on continuous solid surface, II: the boundary layer on acontinuous flat surface. AIChE J., 7, 221-225 (1961)

[2] Tsou, F. K., Sparrow, E. M., and Goldstein, K. J. Flow and heat transfer in the boundary layeron a continuous moving surface. Int. J. Heat Mass Transfer, 10, 219-235 (1967)

[3] Erickson, L. E., Fan, L. T., and Fox, V. G. Heat and mass transfer on a moving continuous flatplate with suction or blowing. Ind. Eng. Chem. Fund., 5, 19-25 (1966)

[4] Griffin, J. F. and Thorne, J. L. On the thermal boundary layer growth on continuous movingbelts. AIChE J., 13, 1210-1211 (1967)

[5] Moutsoglou, A. and Chen, T. S. Buoyancy effects in boundary layers on inclined continuous movingsheets. J. Heat Transfer, 102, 171-173 (1980)

[6] Jeng, D. R., Chang, T. C. A., and De-Witt, K. J. Momentum and heat transfer on a continuousmoving surface. J. Heat Transfer, 108, 532-537 (1986)

[7] Takhar, H. S., Chamkha, A. J., and Nath, G. Effect of buoyancy forces on the flow and heattransfer over a continuous moving vertical or inclined surface. Int. J. Therm. Sci., 40, 825-833(2001)

[8] Mahmoud, M. A. A. Variable viscosity effects on hydromagnetic boundary layer flow along acontinuously moving vertical plate in the presence of radiation. Appl. Math. Sci., 1, 799-814(2007)

[9] Mahmoud, M. A. A. and Megahed, A. M. On steady hydromagnetic boundary-layer flow of a non-Newtonian power-law fluid over a continuously moving surface with suction. Chem. Eng. Comm.,194, 1457-1469 (2007)

[10] Mahmoud, M. A. A. and Megahed, A. M. Effects of viscous dissipation and heat generation(absorption) in a thermal boundary layer of a non-Newtonian fluid over a continuously movingpermeable flat plate. J. Appl. Mech. Tech. Phys., 50, 819-825 (2009)

[11] Bar-Cohen, A., Sherwood, G., Hodes, M., and Solbreken, G. L. Gas-assisted evaporative coolingof high density electronic modules. IEEE Trans. CPMT., Part A, 18, 502-509 (1995)

[12] Chun, K. R. and Seban, R. A. Heat transfer to evaporating liquid films. ASME J. Heat Transfer,93, 391-396 (1971)

[13] Killion, J. D. and Garimella, S. Simulation of pendant droplets and falling films in horizontal tubeabsorbers. ASME J. Heat Transfer, 126, 1003-1013 (2004)

[14] Rabani, E., Rechman, D. R., Gelssler, P. L., and Brus, L. E. Drying mediated self-assembly ofnano-particles. nature, 426, 271-274 (2003)

[15] Calvert, P. Ink-jet printing for materials and devices. Chem. Mater., 13, 3299-3305 (2001)

[16] Wang, C. Liquid film on an unsteady stretching surface. Quarterly of Applied Mathematics, 48,601-610 (1990)

[17] Andersson, H. I., Aarseth, J. B., and Dandapat, B. S. Heat transfer in a liquid film on an unsteadystretching surface. Int. J. Heat Mass Transfer, 43, 69-74 (2000)

[18] Dandapat, B. S., Santra, B., and Andersson, H. I. Thermocapillarity in a liquid film on an unsteadystretching surface. Int. J. Heat Mass Transfer, 46, 3009-3015 (2003)

[19] Chen, C. H. Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over anunsteady stretching sheet. J. Non-Newtonian Fluid Mech., 135, 128-135 (2006)

[20] Wang, C. and Pop, I. Analysis of the flow of a power-law fluid film on an unsteady stretchingsurface by means of homotopy analysis method. J. Non-Newtonian Fluid Mech., 138, 161-172(2006)

[21] Abbas, Z., Hayat, T., Sajid, M., and Asghar, S. Unsteady flow of a second grade fluid film overan unsteady stretching sheet. Mathematical and Computer Modelling, 48, 518-526 (2008)

[22] Abel, M. S., Mahesha, N., and Tawade, J. Heat transfer in a liquid film over an unsteady stretchingsurface with viscous dissipation in presence of external magnetic field. Applied MathematicalModelling, 33, 3430-3441 (2009)

[23] Santra, B. and Dandapat, B. S. Unsteady thin-film flow over a heated stretching sheet. Int. J.Heat Mass Transfer, 52, 1965-1970 (2009)

[24] Noor, N. F. M., Abdulaziz, O., and Hashim, I. MHD flow and heat transfer in a thin liquid filmon an unsteady stretching sheet by the homotopy analysis method. Int. J. Numer. Meth. Fluids,63, 357-373 (2010)

[25] Siddiqui, A. M., Mahmood, R., and Ghori, Q. K. Homotopy perturbation method for thin filmflow of a third grade fluid down an inclined plane. Chaos, Solitons and Fractals, 35, 140-147 (2008)

[26] Eringen, A. C. Theory of micropolar fluids. J. Math. Mech., 16, 1-18 (1966)

[27] Eringen, A. C. Theory of thermomicropolar fluids. J. Math. Appl., 38, 480-495 (1972)

[28] Armin, T., Turk, M. A., and Sylvester, N. D. Microcontinuum fluid mechanics — a review. Int.J. Engng. Sci., 11, 905-915 (1973)

[29] Armin, T., Turk, M. A., and Sylvester, N. D. Application of microcontinuum fluid mechanics. Int.J. Engng. Sci., 12, 273-279 (1974)

[30] Lukaszewicz, G. Micropolar Fluids: Theory and Application, Birkhäuser, Basel (1999)

[31] Eringen, A. C. Microcontinuum Field Theories, II: Fluent Media, Springer, New York (2001)

[32] Chaudhary, R. C. and Jha, A. K. Effects of chemical reactions on MHD micropolar fluid pasta vertical plate in slip-flow regime. Appl. Math. Mech. -Engl. Ed., 29, 1179-1194 (2008) DOI10.1007/s10483-008-0907-x

[33] Hayat, T., Sajid, M., and Ali, N. On exact solutions for thin film flows of a micropolar fluid.Communications in Nonlinear Science and Numerical Simulation, 14, 451-461 (2009)

[34] Dandapat, B. S., Santra, B., and Vajravelu, K. The effects of variable fluid properties and thermocapillarityon the flow of a thin film on an unsteady stretching sheet. Int. J. Heat Mass Transfer,50, 991-996 (2007)

[35] Nadeem, S. and Faraz, N. Thin film flow of a second grade fluid over a stretching/shrinking sheetwith variable temperature-dependent viscosity. Chinese Physics Letters, 27, 034704 (2010)

[36] Makinde, O. D. Laminar falling liquid film with variable viscosity along an inclined heated plate.Applied Mathematics and Computation, 175, 80-88 (2006)

Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity

Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity

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