On series solution for unsteady boundary layer equations in a special third grade fluid

作者: S. Abbasbandy , T. Hayat

DOI: 10.1016/J.CNSNS.2010.11.018

关键词: PorosityMathematical analysisAnalytic solutionBoundary layerSurface (mathematics)ThermodynamicsBlasius boundary layerMathematicsHomotopy analysis methodFlow (mathematics)Series (mathematics)Modelling and SimulationApplied mathematicsNumerical analysis

摘要: Abstract Analytic solution for the time-dependent boundary layer flow over a moving porous surface is derived by using homotopy analysis method (HAM). A special third grade fluid model has been used in problem formulation. The obtained HAM also compared with numerical and reasonable agreement noted.

参考文章(32)
A. Raptis, C. Perdikis, Viscoelastic Flow by the Presence of Radiation Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik. ,vol. 78, pp. 277- 279 ,(1998) , 10.1002/(SICI)1521-4001(199804)78:4<277::AID-ZAMM277>3.0.CO;2-F
Oluwole Daniel Makinde, None, On thermal stability of a reactive third-grade fluid in a channel with convective cooling the walls Applied Mathematics and Computation. ,vol. 213, pp. 170- 176 ,(2009) , 10.1016/J.AMC.2009.03.003
C. Fetecau, Corina Fetecau, UNSTEADY FLOWS OF OLDROYD-B FLUIDS IN A CHANNEL OF RECTANGULAR CROSS SECTION International Journal of Non-linear Mechanics. ,vol. 40, pp. 1214- 1219 ,(2005) , 10.1016/J.IJNONLINMEC.2005.05.005
M. Khan, Z. Abbas, T. Hayat, Analytic solution for flow of Sisko fluid through a porous medium Transport in Porous Media. ,vol. 71, pp. 23- 37 ,(2008) , 10.1007/S11242-007-9109-4
J.E. Dunn, K.R. Rajagopal, Fluids of differential type: Critical review and thermodynamic analysis International Journal of Engineering Science. ,vol. 33, pp. 689- 729 ,(1995) , 10.1016/0020-7225(94)00078-X
K. R. Rajagopal, T. Y. Na, A. S. Gupta, Flow of a viscoelastic fluid over a stretching sheet Rheologica Acta. ,vol. 23, pp. 213- 215 ,(1984) , 10.1007/BF01332078
C. Fetecau, Corina Fetecau, Decay of a potential vortex in an Oldroyd-B fluid International Journal of Engineering Science. ,vol. 43, pp. 340- 351 ,(2005) , 10.1016/J.IJENGSCI.2004.08.013
A. Sami Bataineh, M.S.M. Noorani, I. Hashim, Approximate solutions of singular two-point BVPs by modified homotopy analysis method Physics Letters A. ,vol. 372, pp. 4062- 4066 ,(2008) , 10.1016/J.PHYSLETA.2008.03.026