×

Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis on magnetohydrodynamic free convective heat and mass transfer over a porous stretching surface. (English) Zbl 1305.76088

Summary: This article concerns with a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet. A scaling group of transformations is applied to the governing equations. The system remains invariant due to some relations among the parameters of the transformations. Impact of thermophoresis particle deposition in the presence of temperature-dependent fluid viscosity has an important influence on the concentration boundary layer. The results thus obtained are presented graphically and discussed.

MSC:

76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
76R10 Free convection
76W05 Magnetohydrodynamics and electrohydrodynamics
76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1016/S0020-7462(00)00098-6 · Zbl 1117.76302 · doi:10.1016/S0020-7462(00)00098-6
[2] Batchelor G. K., An introduction to fluid dynamics (1987) · Zbl 0958.76001
[3] Bluman G. W., Symmetries and differential equations (1989) · Zbl 0698.35001 · doi:10.1007/978-1-4757-4307-4
[4] Chamka A., International Journal of Applied Mechanics and Engineering 9 pp 471– (2004)
[5] DOI: 10.1016/j.icheatmasstransfer.2004.02.012 · doi:10.1016/j.icheatmasstransfer.2004.02.012
[6] DOI: 10.1016/j.ijheatmasstransfer.2007.09.035 · Zbl 1143.80307 · doi:10.1016/j.ijheatmasstransfer.2007.09.035
[7] Chern, S. S. Sophus Lie and differential geometry. The Sophus Lie Memorial Conference. 1994, Oslo. pp.129–137.
[8] DOI: 10.1016/j.fluiddyn.2005.05.001 · Zbl 1153.76423 · doi:10.1016/j.fluiddyn.2005.05.001
[9] DOI: 10.1007/BF01587695 · doi:10.1007/BF01587695
[10] DOI: 10.1115/1.3247410 · doi:10.1115/1.3247410
[11] DOI: 10.1088/1751-8113/40/30/013 · Zbl 1121.35006 · doi:10.1088/1751-8113/40/30/013
[12] DOI: 10.1016/0017-9310(88)90144-5 · doi:10.1016/0017-9310(88)90144-5
[13] DOI: 10.1017/S0022112082001608 · Zbl 0491.76078 · doi:10.1017/S0022112082001608
[14] DOI: 10.1017/S0305004100026414 · doi:10.1017/S0305004100026414
[15] DOI: 10.1016/0021-9797(77)90416-7 · doi:10.1016/0021-9797(77)90416-7
[16] DOI: 10.1002/cjce.5450550619 · doi:10.1002/cjce.5450550619
[17] Helgason, S. Sophus Lie, The mathematician. The Sophus Lie Memorial Conference. 1994, Oslo. pp.3–21.
[18] Ingham D., Transport phenomena in porous media I (1998) · Zbl 0918.76002
[19] Ingham D., Transport phenomena in porous media II (2002) · Zbl 1012.00023
[20] DOI: 10.1007/s002310050284 · doi:10.1007/s002310050284
[21] Lie S., Gesammelte abhandlungen 7 (1922)
[22] Lie S., Theorie de transformationsgruppen 7 (1888)
[23] Ling, J. X. and Dybbs, A. Forced convection over a flat plate submersed in a porous medium: variable viscosity case. Paper 87-WA/HT-23. American Society of Mechanical Engineers, NY
[24] DOI: 10.1016/0020-7225(92)90032-C · Zbl 0753.76165 · doi:10.1016/0020-7225(92)90032-C
[25] DOI: 10.1016/j.ijheatmasstransfer.2007.11.038 · Zbl 1144.80337 · doi:10.1016/j.ijheatmasstransfer.2007.11.038
[26] DOI: 10.1016/j.ijheatmasstransfer.2005.05.027 · Zbl 1189.76787 · doi:10.1016/j.ijheatmasstransfer.2005.05.027
[27] Nield D. A., Convection in porous media, 2. ed. (1999) · Zbl 0924.76001 · doi:10.1007/978-1-4757-3033-3
[28] DOI: 10.1017/S0022112098001542 · Zbl 0941.76034 · doi:10.1017/S0022112098001542
[29] Olver P., Applications of Lie groups to differential equations (1986) · Zbl 0588.22001 · doi:10.1007/978-1-4684-0274-2
[30] DOI: 10.1137/S003614459631001X · Zbl 0911.35096 · doi:10.1137/S003614459631001X
[31] DOI: 10.1002/aic.690070108 · doi:10.1002/aic.690070108
[32] DOI: 10.1002/aic.690070211 · doi:10.1002/aic.690070211
[33] DOI: 10.1016/S1290-0729(03)00075-9 · doi:10.1016/S1290-0729(03)00075-9
[34] DOI: 10.1088/0305-4470/38/34/006 · Zbl 1078.35051 · doi:10.1088/0305-4470/38/34/006
[35] DOI: 10.1016/j.ijheatmasstransfer.2005.09.036 · Zbl 1189.76669 · doi:10.1016/j.ijheatmasstransfer.2005.09.036
[36] Wang C.-C., International Journal of Heat and Mass Transfer 51 pp 1395– (2008)
[37] DOI: 10.1007/s00707-005-0297-0 · Zbl 1096.76058 · doi:10.1007/s00707-005-0297-0
[38] DOI: 10.1016/S0020-7225(96)00115-2 · Zbl 0904.76006 · doi:10.1016/S0020-7225(96)00115-2
[39] DOI: 10.1016/S0093-6413(99)00009-9 · Zbl 0945.76556 · doi:10.1016/S0093-6413(99)00009-9
[40] DOI: 10.1016/S0020-7462(00)00060-3 · Zbl 1345.76009 · doi:10.1016/S0020-7462(00)00060-3
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.