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Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. (English) Zbl 1162.76017

Summary: We investigate the unsteady laminar boundary layer flow over a continuously stretching permeable surface. The unsteadiness in the flow and in the temperature field is caused by the time-dependence of the stretching velocity and of the surface temperature. We examine the effects of unsteadiness parameter, suction/injection parameter and Prandtl number on heat transfer characteristics.

MSC:

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI

References:

[1] Crane, L. J., Flow past a stretching plate, Z. Angew. Math. Phys., 21, 645-647 (1970)
[2] Gupta, P. S.; Gupta, A. S., Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55, 744-746 (1977)
[3] Grubka, L. J.; Bobba, K. M., Heat transfer characteristics of a continuous, stretching surface with variable temperature, ASME J. Heat Transfer, 107, 248-250 (1985)
[4] Chen, C.-K.; Char, M.-I., Heat transfer of a continuous, stretching surface with suction or blowing, J. Math. Anal. Appl., 135, 568-580 (1988) · Zbl 0652.76062
[5] Ali, M. E., Heat transfer characteristics of a continuous stretching surface, Heat Mass Transfer, 29, 227-234 (1994)
[6] Char, M.-I., Heat transfer in a hydromagnetic flow over a stretching sheet, Heat Mass Transfer, 29, 495-500 (1994)
[7] Chen, C.-H., Laminar mixed-convection adjacent to vertical, continuously stretching sheets, Heat Mass Transfer, 33, 471-476 (1998)
[8] Kelly, D.; Vajravelu, K.; Andrews, L., Analysis of heat and mass transfer of a viscoelastic, electrically conducting fluid past a continuous stretching sheet, Nonlinear Anal., 36, 767-784 (1999) · Zbl 0939.76003
[9] Ishak, A.; Nazar, R.; Pop, I., Mixed convection on the stagnation point flow toward a vertical, continuously stretching sheet, ASME J. Heat Transfer, 129, 1087-1090 (2007)
[10] Ishak, A.; Nazar, R.; Pop, I., Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet, Heat Mass Transfer, 44, 921-927 (2008)
[11] Ishak, A.; Nazar, R.; Pop, I., MHD boundary-layer flow due to a moving extensible surface, J. Eng. Math., 62, 23-33 (2008) · Zbl 1148.76061
[12] Wang, C. Y., Analysis of viscous flow due to a stretching sheet with surface slip and suction, Nonlinear Anal. RWA, 10, 375-380 (2009) · Zbl 1154.76330
[13] Hayat, T.; Sajid, M.; Pop, I., Three-dimensional flow over a stretching surface in a viscoelastic fluid, Nonlinear Anal. RWA, 9, 1811-1822 (2008) · Zbl 1154.76315
[14] Cortell, R., Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet, Phys. Lett. A, 372, 631-636 (2008) · Zbl 1217.76028
[15] Hayat, T.; Abbas, Z.; Javed, T., Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet, Phys. Lett. A, 372, 637-647 (2008) · Zbl 1217.76014
[16] Devi, C. D.S.; Takhar, H. S.; Nath, G., Unsteady mixed convection flow in stagnation region adjacent to a vertical surface, Heat Mass Transfer, 26, 71-79 (1991)
[17] Andersson, H. I.; Aarseth, J. B.; Dandapat, B. S., Heat transfer in a liquid film on an unsteady stretching surface, Int. J. Heat Mass Transfer, 43, 69-74 (2000) · Zbl 1042.76507
[18] Nazar, R.; Amin, N.; Pop, I., Unsteady boundary layer flow due to a stretching surface in a rotating fluid, Mech. Res. Commun., 31, 121-128 (2004) · Zbl 1053.76017
[19] Ali, A.; Mehmood, A., Homotopy analysis of unsteady boundary layer flow adjacent to permeable stretching surface in a porous medium, Commun. Nonlinear Sci. Numer. Simul., 13, 340-349 (2008) · Zbl 1155.35408
[20] Williams, J. C.; Rhyne, T. B., Boundary layer development on a wedge impulsively set into motion, SIAM J. Appl. Math., 38, 215-224 (1980) · Zbl 0443.76039
[21] Abramowitz, M.; Stegun, I. A., Handbook of Mathematical Functions (1965), Dover: Dover New York
[22] Cebeci, T.; Bradshaw, P., Physical and Computational Aspects of Convective Heat Transfer (1988), Springer: Springer New York · Zbl 0702.76003
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