Series solutions for the stagnation flow of a second-grade fluid over a shrinking sheet

Applied Mathematics and Mechanics (English Edition)

Volumn 30, Issue 10, 2009, Pages 1255-1262

  Nadeem, S ^a   Hussain, Anwar ^a   Malik, M Y ^a   Hayat, T ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Second grade fluid; Shrinking sheet; Stagnation flow

Indexed keywords

ANALYTIC SOLUTION; AXISYMMETRIC; HOMOTOPY ANALYSIS METHODS; SECOND-GRADE FLUID; SERIES SOLUTIONS; SHRINKING SHEET; SIMILARITY TRANSFORMATION; STAGNATION FLOW; STAGNATION FLOWS;

SHRINKAGE;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 70350504290     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10483-009-1005-6     Document Type: Article

References (20)

1. M. Sajid I. Ahmad T. Hayat M. Ayub 2009 Unsteady flow and heat transfer of a second grade fluid over a stretching sheet Comm. Nonl. Sci. Num. Sim. 14 1 96 108 10.1016/j.cnsns.2007.07.014 2458715
2. R. Cortell 2006 A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet Int. J. Nonlin. Mech. 41 1 78 85 1160.80302 10.1016/j.ijnonlinmec.2005.04.008
3. R. Cortell 2006 Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet Phys. Lett. A 357 4-5 298 305 05358645 10.1016/j.physleta.2006. 04.051 (Pubitemid 44093129)
4. T. Hayat M. Sajid 2007 Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet Int. J. Heat Mass Tran. 50 1-2 75 84 1104.80006 10.1016/j.ijheatmasstransfer.2006.06.045 2344929 (Pubitemid 44709008)
5. T. Hayat S. Saif Z. Abbas 2008 The influence of heat transfer in an MHD second grade fluid film over an unsteady stretching sheet Phys. Lett. A 372 30 5037 5045 10.1016/j.physleta.2008.03.066
6. C. Fetecau T. Hayat C. Fetecau N. Ali 2008 Unsteady flow of a second grade fluid between two side walls perpendicular to a plate Nonlinear Anal.: Real World Appl. 9 3 1236 1252 1140.76304 10.1016/j.nonrwa.2007.02.014 2392408 (Pubitemid 351221425)
7. K. Vajravelu D. Rollins 2004 Hydromagnetic flow of a second grade fluid over a stretching sheet Appl. Math. Comput. 148 3 783 791 1034.76061 10.1016/S0096-3003(02)00942-6 2024543
8. B. C. Sakiadis 1961 Boundary layer behaviour on continuous solid surfaces AIChE J. 7 1 26 28 10.1002/aic.690070108
9. S. J. Liao 2006 An analytic solution of unsteady boundary layer flows caused by an impulsive stretching plate Comm. Nonl. Sci. Num. Sim. 11 3 326 339 1078.76022 10.1016/j.cnsns.2004.09.004 (Pubitemid 41448051)
10. T. Hayat M. Sajid 2007 Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid Int. J. Eng. Sci. 45 2-8 93 401 2347970
11. A. Ishak R. Nazar I. Pop 2009 MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat flux Comm. Nonl. Sci. Num. Sim. 14 1 109 118 10.1016/j.cnsns.2007.07.011 2458716
12. S. Bose S. Chakraborty 2008 A boundary layer analysis of electro-magneto-hydrodynamic forced convective transport over a melting slab Int. J. Heat Mass Tran. 51 21-22 5465 5474 1154.80312 10.1016/j. ijheatmasstransfer.2008.02.051
13. S. Nadeem M. Awais 2008 Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity Phys. Lett. A 372 30 4965 4972 10.1016/j.physleta.2008.05.048
14. T. Hayat T. Javed M. Sajid 2008 Analytic solution for MHD rotating flow of a second grade fluid over a shrinking surface Phys. Lett. A 372 18 3264 3273 10.1016/j.physleta.2008.01.069 2414279
15. C. Y. Wang 2008 Stagnation flow towards a shrinking sheet Int. J. Nonl. Mech. 43 5 377 382 10.1016/j.ijnonlinmec.2007.12.021
16. Liao, S. J. Beyond Perturbation Introduction to Homotopy Analysis Method, Hall/CRC Press, Boca Raton Chapman (2003)
17. S. Abbasbandy 2008 Approximate solution for the nonlinear model of diffusion and reaction in porous catalysts by means of the homotopy analysis method Chem. Eng. J. 136 2-3 144 150 10.1016/j.cej.2007.03.022 (Pubitemid 351173865)
18. S. Abbasbandy 2008 Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method Appl. Math. Model. 32 12 2706 2714 1167.35395 10.1016/j.apm.2007.09.019 2456314
19. M. Sajid M. Awais S. Nadeem T. Hayat 2008 The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method Comp. Math. Appl. 56 8 2019 2026 1165.76312 10.1016/j.camwa.2008.04.022 2466704
20. M. S. H. Chowdhury I. Hashim O. Abdulaziz 2009 Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems Comm. Nonl. Sci. Num. Sim. 14 2 371 378 10.1016/j.cnsns.2007.09.005 2458815