Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet

International Communications in Heat and Mass Transfer

Volumn 35, Issue 3, 2008, Pages 347-356

  Sajid, M ^a   Hayat, T ^b  

^a PAKISTAN INSTITUTE OF NUCLEAR SCIENCE AND TECHNOLOGY   (Pakistan)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Boundary layer flow; Exponential stretching; HAM solution; Heat transfer analysis

Indexed keywords

HEAT RADIATION; HEAT TRANSFER; PRANDTL NUMBER; TEMPERATURE MEASUREMENT; VELOCITY MEASUREMENT;

EXPONENTIALLY STRETCHING SHEET; HEAT TRANSFER ANALYSIS; HOMOTOPY ANALYSIS METHOD (HAM);

BOUNDARY LAYER FLOW;

BOUNDARY LAYER FLOW; HEAT RADIATION; HEAT TRANSFER; PRANDTL NUMBER; TEMPERATURE MEASUREMENT; VELOCITY MEASUREMENT;

EID: 38949098139     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2007.08.006     Document Type: Article

References (27)

1. Sakiadis B.C. Boundary layer behavior on continuous solid surfaces: I boundary layer equations for two dimensional and axisymmetric flow. AIChE J. 7 (1961) 26-28
2. Crane L.J. Flow past a stretching plate. Z. Angew. Math. Mech. (ZAMM) 21 (1970) 645-647
3. Cortell R. 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 (2006) 298-305
4. Cortell R. A note on flow and heat transfer of a viscoelastic fluid over a stretching sheet. Int. J. Non-Linear Mech. 41 (2006) 78-85
5. Sadeghy K., Najafi A.H., and Saffaripour M. Sakiadis flow of an upper-convected Maxwell fluid. Int. J. Non-Linear Mech. 40 (2005) 1220-1228
6. Liu I.C. Flow and heat transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet subject to a transverse magnetic field. Int. J. Non-Linear Mech. 40 (2005) 465-474
7. Ariel P.D., Hayat T., and Asghar S. The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mech. 187 (2006) 29-35
8. Liao S.J., and Campo A. Analytic solutions of the temperature distribution in Blasius viscous flow problems. J. Fluid Mech. 453 (2002) 411-425
9. Liao S.J. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluid over a stretching sheet. J. Fluid Mech. 488 (2003) 189-212
10. Xu H., and Liao S.J. Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate. J. Non-Newton. Fluid Mech. 129 (2005) 46-55
11. Hayat T., Abbas Z., and Sajid M. Series solution for the upper-convected Maxwell fluid over a porous stretching plate. Phys. Lett., A 358 (2006) 396-403
12. Hayat T., and Sajid M. Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet. Int. J. Heat Mass Transfer 50 (2007) 75-84
13. Magyari E., and Keller B. Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface. J. Phys., D. Appl. Phys. 32 (1999) 577-585
14. Raptis A., Perdikis C., and Takhar H.S. Effects of thermal radiation on MHD flow. Appl. Math. Comput. 153 (2004) 645-649
15. Hayat T., Abbas Z., Sajid M., and Asghar S. The influence of thermal radiation on MHD flow of a second grade fluid. Int. J. Heat Mass Transfer 50 (2007) 931-941
16. S.J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. dissertation (in English), Shanghai Jiao Tong University, Shanghai, 1992.
17. Liao S.J. Beyond Perturbation: Introduction to Homotopy Analysis Method (2003), Chapman & Hall/CRC Press, Boca Raton
18. Hayat T., and Sajid M. On the analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder. Phys. Lett., A 361 (2007) 316-322
19. Sajid M., Hayat T., and Asghar S. Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt. Nonlinear Dyn. 50 (2007) 27-35
20. F.M. Allan, Derivation of the Adomian decomposition method using the homotopy analysis method, Appl. Math. Comput. (in press).
21. Liao S.J. A new branch of solutions of boundary-layer flows over an impermeable stretched plate. Int. J. Heat Mass Transfer 48 (2005) 2529-2539
22. Liao S.J. An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Comm. Non-linear Sci. Numer. Simm. 11 (2006) 326-339
23. Sajid M., Hayat T., and Asghar S. On the analytic solution of the steady flow of a fourth grade fluid. Phys. Lett., A 355 (2006) 18-24
24. Abbas Z., Sajid M., and Hayat T. MHD boundary layer flow of an upper-convected Maxwell fluid in a porous channel. Theor. Comput. Fluid Dyn. 20 (2006) 229-238
25. Abbasbandy S. The application of homotopy analysis method to nonlinear equations arising in heat transfer. Phys. Lett., A 360 (2006) 109-113
26. Y. Tan, S. Abbasbandy, Homotopy analysis method for quadratic Recati differential equation. Comm. Non-Linear Sci. Numer. Simul. (in press).
27. Zhu S.P. An exact and explicit solution for the valuation of American put options. Quant. Financ. 6 (2006) 229-242