Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution
作者： R. Ellahi , S. Afzal
DOI: 10.1016/J.CNSNS.2008.05.006
关键词:
摘要: Abstract This study extends the analysis of ref. [Hayat T, Ellahi R, Asghar S. The influence variable viscosity and viscous dissipation on non-Newtonian flow: An analytic solution, Commun Nonlinear Sci Numer Simul 2007;12:300–313] in a porous medium by employing modified Darcy’s law. Beside this Reynolds Vogels models temperature dependent are considered. problem is solved using homotopy method (HAM). Expressions velocity profiles constructed analytically explained with help graphs.
harvard.edu
elsevier.com
sci-hub.se 参考文章(39)
R. C. Fetec�u, C. Fetec�u, Cone and plate flow of a second grade fluid Acta Mechanica. ,vol. 122, pp. 225- 230 ,(1997) , 10.1007/BF01182001
Shi-Jun Liao, Kwok Fai Cheung, HOMOTOPY ANALYSIS OF NONLINEAR PROGRESSIVE WAVES IN DEEP WATER Journal of Engineering Mathematics. ,vol. 45, pp. 105- 116 ,(2003) , 10.1023/A:1022189509293
K. R. Rajagopal, On Boundary Conditions for Fluids of the Differential Type Springer, Boston, MA. pp. 273- 278 ,(1995) , 10.1007/978-1-4899-1415-6_22
Wenchang Tan, Takashi Masuoka, Stokes’ first problem for an Oldroyd-B fluid in a porous half space Physics of Fluids. ,vol. 17, pp. 023101- ,(2005) , 10.1063/1.1850409
M. Sajid, A.M. Siddiqui, T. Hayat, Wire coating analysis using MHD Oldroyd 8-constant fluid International Journal of Engineering Science. ,vol. 45, pp. 381- 392 ,(2007) , 10.1016/J.IJENGSCI.2007.04.010
Shijun Liao, SA Sherif, Beyond Perturbation: Introduction to the Homotopy Analysis Method ,(2003)
M. Massoudi, I. Christie, Effects of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe International Journal of Non-linear Mechanics. ,vol. 30, pp. 687- 699 ,(1995) , 10.1016/0020-7462(95)00031-I
K.R. Rajagopal, On the creeping flow of the second-order fluid Journal of Non-newtonian Fluid Mechanics. ,vol. 15, pp. 239- 246 ,(1984) , 10.1016/0377-0257(84)80008-7
T. Hayat, M. Sajid, Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid International Journal of Engineering Science. ,vol. 45, pp. 393- 401 ,(2007) , 10.1016/J.IJENGSCI.2007.04.009
T. Hayat, M. Khan, S. Asghar, Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid Acta Mechanica. ,vol. 168, pp. 213- 232 ,(2004) , 10.1007/S00707-004-0085-2