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On Flow and Heat Transfer in a Thin Liquid Film over an Unsteady Stretching Sheet with Variable Fluid Properties and Radiation
Current Issue
Volume 3, 2015
Issue 1 (February)
Pages: 14-18   |   Vol. 3, No. 1, February 2015   |   Follow on         
Paper in PDF Downloads: 61   Since Aug. 28, 2015 Views: 2110   Since Aug. 28, 2015
Authors
[1]
Mostafa A. A. Mahmoud, Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt.
Abstract
In ref. [1] the authors claimed that there are two values of the film thickness. Also, the authors found that the local skin-friction coefficient independent on the viscosity parameter. In the present study it is derived that the film thickness is equal to one. Also, the local skin-friction coefficient is found to depend on the viscosity parameter. It is found that the unsteadiness parameter has one value, which satisfy the constraint condition, for each value of the various parameters when the others are fixed.
Keywords
Liquid Film, Unsteady Stretching Sheet, Thermal Radiation, Variable Fluid Properties
Reference
[1]
Liu ,I-C. and Megahed , A. M., “Numerical Study for the Flow and Heat Transfer in a Thin Liquid Film Over an Unsteady Stretching Sheet with Variable Fluid Properties in the Presence of Thermal Radiation,” Journal of Mechanics, 28, pp.291(2012) .
[2]
Andersson, H. I., Aarseh, J. B. and Dandapat, B. S.,“Heat Transfer in a Liquid Film on an Unsteady Stretching Surface,” International Journal of Heat and Mass Transfer, 43, pp. 6974 (2000).
[3]
Dandapat, B. S., Santra, B. and Anderson, H. I., “Thermocapillarity in a Liquid Film on Unsteady Stretching Surface,” International Journal of Heat and Mass Transfer, 46, pp. 30093015 (2003).
[4]
Wang, C., “Analytic Solutions for a Liquid Thin Film on an Unsteady Stretching Surface,” Heat and Mass Transfer, 42, pp. 759766 (2006).
[5]
Santra, B. and Dandapat, B. S., “Unsteady Thin- Film Flow over a Heated Stretching Sheet,” International Journal of Heat and Mass Transfer, 52, pp. 19651970 (2009).
[6]
Subhas Abel, M., Mahesha, N. and Tawade, J.,“Heat Transfer in a Liquid Film over an Unsteady Stretching Surface with Viscous Dissipation in the Presence of External Magnetic Field,” Applied Mathematical Modelling, 33, pp. 34303441 (2009).
[7]
Noor, N. F. M. and Hashim, I., “Thermocapillarity and Magnetic Field Effects in a Thin Liquid Film on an Unsteady Stretching Surface,” International Journal of Heat and Mass Transfer, 53, pp. 20442051 (2010).
[8]
Andersson, H. I., Aarseth, J. B., Braud, N. and Dandapat, B. S., “Flow of a Power-Law Fluid on an Unsteady Stretching Surface,” Journal of Non-Newtonian Fluid Mechanics, 62, pp. 18(1996).
[9]
Chen, C.-H., “Heat Transfer in a Power-Law Fluid Film over a Unsteady Stretching Sheet,” Heat and Mass Transfer, 39, pp. 791796 (2003).
[10]
Wang, C. and Pop, I., “Analysis of the Flow of a Power-Law Fluid Film on an Unsteady Stretching Surface by Means of Homotopy Analysis Method,” Journal of Non-Newtonian Fluid Mechanics, 138,pp. 161172 (2006).
[11]
Chen, C.-H., “Effect of Viscous Dissipation on Heat Transfer in a Non-Newtonian Liquid Film Over an Unsteady Stretching Sheet,” Journal of Non-Newtonian Fluid Mechanics, 135, pp.128135 (2006).
[12]
Siddiqui, A. M., Ahmed, M. and Ghori, Q. K.,“Thin Film Flow of Non-Newtonian Fluids on a Moving Belt,” Chaos, Solitons and Fractals, 33, pp.10061016 (2007).
[13]
Hayat, T., Saif, S. and Abbas, Z., “The Influence of Heat Transfer in an MHD Second Grade Fluid Film over an Unsteady Stretching Sheet,” Physical LettersA, 372, pp. 50375045 (2008).
[14]
Siddiqui, A. M., Mahmood, R. and Ghori, Q. K., “Homotopy Perturbation Method for Thin Film “Homotopy Perturbation Method for Thin Film Flow of a Third Grade Fluid down an Inclined Plane,” Chaos, Solitons and Fractals, 35, pp.140147 (2008).
[15]
Hayat, T., Ellahi, R. and Mahomed, F. M., “Exact Solutions for Thin Film Flow of a Third Grade Fluid down an Inclined Plane,”Chaos,Solitions and Fractals, 38, pp. 13361341 (2008).
[16]
Mahmoud, M. A. A., “Thermal radiation effects on the flow and heat transfer in a liquidfilm on an unsteady stretching sheet,” Int. J. Numer. Meth. Fluids, 67, pp. 1692(2011).
[17]
Liu I-C, Andersson H.I., “Heat transfer in a liquid film on an unsteady stretching sheet,” International Journal of Thermal Sciences, 47pp.766 (2008).
[18]
Raptis, A., “Flow of a Micropolar Fluid Past a Continuously Moving Plate by the Presence of Radiation,” International Journal of Heat and Mass Transfer, 41, pp. 2865 (1998).
[19]
Khader, M. M. and Megahed, A. M., “Numerical simulation using the finite difference method for the flow and heat transfer in a thin liquid film over an unsteady stretching sheet in a saturated porous medium in the presence of thermal radiation,” Journal of King Saud University Engineering Sciences 25, pp.29 (2013).
[20]
Megahed, A. M., “HPM for the slip velocity effect on a liquid film over an unsteady stretching surface with variable heat flux,” Eur. Phys. J. Plus 126, pp. 82 (2011).
[21]
Liu, I-C. and Megahed , A. M., “Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux”Journal of Applied Mathematics Volume 2012, Article ID 418527, 12 pages.
[22]
Khader, M. M. and Megahed,A.M. “On The Numerical Solution for the Flow and Heat Transfer in a Thin Liquid Film Over an Unsteady Stretching Sheet in a Saturated Porous Medium in the Presence of Thermal Radiation,” Journal of Applied Mechanics and Technical Physics 53, pp.710 (2012).
[23]
Megahed , A. M.,“Variable Fluid Properties and Variable Heat Flux Effects on the Flow and Heat Transfer in a non-Newtonian Maxwell Fluid over an Unsteady Stretching Sheet with Slip Velocity,” Chin. Phys. B 22, pp.094701-1-6(2013).
[24]
Dimian, M.F and Megahed, A. M., “Effects of Variable Fluid Properties on Unsteady Heat Transfer over a Stretching Surface in the Presence of Thermal Radiation,” Ukr. J. Phys. Vol. 58, pp. 345 (2013).
[25]
Khader, M. M. and Megahed A.M. , “Numerical Solution for the Effect of Variable Fluid Properties on the Flow and Heat Transfer in a non Newtonian Maxwell Fluid over an Unsteady Stretching Sheet with Internal Heat Generation,” Ukr. J. Phys. Vol. 58, pp. 353 (2013).
[26]
Megahed, A. M.,” Numerical Solution for Variable Viscosity and Internal Heat Generation Effects on Boundary Layer Flow Over an Exponentially Stretching Porous Sheet with Constant Heat Flux and Thermal Radiation,” Journal of Mechanics 30, pp. 395 (2014).
[27]
Megahed, A. M.,”Variable viscosity and slip velocity effects on the flow and heat transfer of a power-law fluid over a non-linearly stretching surface with heat flux and thermal radiation,” Rheologica Acta 51, pp.841847 (2012).
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