Blasius flow and heat transfer of fourth-grade fluid with slip

作者: B. Sahoo , S. Poncet

DOI: 10.1007/S10483-013-1760-6

关键词:

摘要: This investigation deals with the effects of slip, magnetic field, and non-Newtonian flow parameters on heat transfer an incompressible, electrically conducting fourth-grade fluid past infinite porous plate. The analysis is carried out for two heating processes. system highly non-linear differential equations solved by shooting method fourth-order Runge-Kutta moderate values parameters. effective Broyden technique adopted in order to improve initial guesses satisfy boundary conditions at infinity. An exceptional cross-over obtained velocity profile presence slip. parameter found increase momentum layer thickness, whereas slip substantially decreases it. Similarly, have opposite thermal thickness.

参考文章(14)
O. U. Mehmood, N. Mustapha, S. Shafie, Heat transfer on peristaltic flow of fourth grade fluid in inclined asymmetric channel with partial slip Applied Mathematics and Mechanics-english Edition. ,vol. 33, pp. 1313- 1328 ,(2012) , 10.1007/S10483-012-1624-6
T. Hayat, S. Noreen, M. Sajid, Heat transfer analysis of the steady flow of a fourth grade fluid International Journal of Thermal Sciences. ,vol. 47, pp. 591- 599 ,(2008) , 10.1016/J.IJTHERMALSCI.2007.05.005
S. Nadeem, T. Hayat, S. Abbasbandy, M. Ali, Effects of partial slip on a fourth-grade fluid with variable viscosity: An analytic solution Nonlinear Analysis-real World Applications. ,vol. 11, pp. 856- 868 ,(2010) , 10.1016/J.NONRWA.2009.01.030
Vijay K. Garg, K.R. Rajagopal, Stagnation point flow of a non-newtonian fluid Mechanics Research Communications. ,vol. 17, pp. 415- 421 ,(1990) , 10.1016/0093-6413(90)90059-L
M. Renardy, On the Domain Space for Constitutive Laws in Linear Viscoelasticity. Archive for Rational Mechanics and Analysis. ,vol. 85, pp. 21- 26 ,(1984) , 10.1007/BF00250864
Yongqi Wang, Wei Wu, Unsteady flow of a fourth-grade fluid due to an oscillating plate International Journal of Non-Linear Mechanics. ,vol. 42, pp. 432- 441 ,(2007) , 10.1016/J.IJNONLINMEC.2007.01.003
Vasile Marinca, Nicolae Herişanu, Constantin Bota, Bogdan Marinca, An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate Applied Mathematics Letters. ,vol. 22, pp. 245- 251 ,(2009) , 10.1016/J.AML.2008.03.019
S. Islam, Z. Bano, I. Siddique, A.M. Siddiqui, The optimal solution for the flow of a fourth-grade fluid with partial slip Computers & Mathematics With Applications. ,vol. 61, pp. 1507- 1516 ,(2011) , 10.1016/J.CAMWA.2011.01.014
T Hayat, M Asif Farooq, T Javed, M Sajid, None, Partial slip effects on the flow and heat transfer characteristics in a third grade fluid Nonlinear Analysis: Real World Applications. ,vol. 10, pp. 745- 755 ,(2009) , 10.1016/J.NONRWA.2007.11.001