Effects of partial slip on a fourth-grade fluid with variable viscosity: An analytic solution

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 2, 2010, Pages 856-868

  Nadeem, S ^a   Hayat, T ^a   Abbasbandy, S ^b   Ali, M ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

^b IMAM KHOMEINI INTERNATIONAL UNIVERSITY   (Iran)

Author keywords

Fourth grade fluid; Heat transfer; Partial slip; Variable viscosity

Indexed keywords

ANALYTIC SOLUTION; CONSTANT PRESSURE GRADIENT; FLOW AND HEAT TRANSFER; FOURTH-GRADE FLUID; PARTIAL SLIP; REYNOLDS; VARIABLE VISCOSITY;

CYLINDERS (SHAPES); FLUIDS; HEAT EXCHANGERS; HEAT TRANSFER;

VISCOSITY;

EID: 70449643530     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.01.030     Document Type: Article

References (35)

1. Zierep J., and Fetecau C. Energetic balance for the Rayleigh Stokes problem of a second-grade fluid. Int. J. Eng. Sci. 45 (2007) 155-162
2. Fetecau C., and Fetecau C. Starting solutions for the motion of a second-grade fluid due to longitudinal and torsional oscillations of a circular cylinder. Int. J. Eng. Sci. 44 (2006) 788-796
3. Fetecau C., and Fetecau C. Starting solutions for some unsteady unidirectional flows of a second-grade fluid. Int. J. Eng. Sci. 43 (2005) 781-789
4. Shen F., Tan W.C., Zhao Y., and Masuoka T. The Rayleigh-Stokes problem for a heated generalized second-grade fluid with fractional derivative model. Nonlinear Anal. B 7 (2006) 1072-1080
5. Tan W.C., and Masuoka T. Stokes' first problem for a second-grade fluid in a porous space with heated boundary. Int. J. Nonlinear Mech. 40 (2005) 512-522
6. Fetecau C., Hayat T., Fetecau C., and Ali N. Unsteady flow of a second-grade fluid between two side walls perpendicular to a plate. Nonlinear Anal. B 9 (2008) 1236-1252
7. Hayat T., Javed T., and Sajid M. Analytic solution for MHD rotating flow of a second-grade fluid over a shrinking surface. Phys. Lett. A372 (2008) 3264-3273
8. Hayat T., Ahmed N., Sajid M., and Asghar S. On the MHD flow of a second-grade fluid in a porous channel. Comput. Math. Appl. 54 (2007) 407-414
9. Asghar S., Hanif K., Hayat T., and Khalique C.M. MHD non Newtonian flow due to non-coaxial rotations of an accelerated disk and a fluid at infinity. Commun. Nonlinear Sci. Numer. Simul. 12 (2007) 465-485
10. Chen C.I., Chen C.K., and Yang Y.T. Unsteady unidirectional flow of second-grade fluid between the parallel plates with different given volume flow rate conditions. Appl. Math. Comput. 137 (2003) 437-450
11. Hayat T., Shahzad F., and Ayub M. Analytical solution for the steady flow of the third-grade fluid in a porous half space. Appl. Math. Modelling 31 (2007) 2424-2432
12. Hayat T., Javed T., and Sajid M. Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid. Acta Mech. 191 (2007) 219-229
13. Yurusoy M., and Pakdemirli M. Approximate analytical solutions for the flow of a third-grade fluid in a pipe. Nonlinear Mech. 37 (2002) 187-195
14. Akyildiz F.T. On the dispersion of a solute in Poiseuille flow of a third-grade fluid in a channel. Nonlinear Mech. 38 (2003) 1553-1559
15. Fez-Dizaji A., Salimpour M.R., and Jam F. Flow field of a third-grade non-Newtonian fluid in the annulus of rotating concentric cylinders in the presence of magnetic field. J. Math. Anal. Appl. 337 (2008) 632-645
16. Massoudi M., and Christie I. Effect of variable viscosity and viscous dissipation on the flow of a third-grade fluid in a pipe. Int. J. Nonlinear Mech. 30 (1995) 687-699
17. Liao S.J. A new branch of solutions of boundary layer flows over a permeable stretching plate. Int. J. Non-linear Mech. 42 (2007) 819-830
18. Liao S.J. Beyond perturbation: Review on the basic ideas of homotopy analysis method and its application. Adv. Mech. Math. 38 1 (2008) 1-34 (in Chinese)
19. S.J. Liao, Finding multiple solutions of nonlinear problems by means of the homotopy analysis method 18(2006) 54-56
20. Liao S.J. An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate. Commun. Nonlinear Sci. Numer. Simul. 11 (2006) 326-339
21. Abbasbandy S. Homotopy analysis method for heat radiation equations. Int. Commun. Heat Mass Transfer. 34 (2007) 380-387
22. Abbasbandy S. The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KDV equation. Phys. Lett. A 361 (2007) 478-483
23. Abbasbandy S., and Samadian Z.F. Soliton solutions for the fifth-order KDV equation with homotopy analysis method. Nonlinear Dynam. 51 (2008) 83-87
24. Hayat T., Shahzad F., Ayub M., and Asghar S. Stokes first problem for a third-grade fluid in a porous half space. Commun. Nonlinear Sci. Numer. Simul. 13 (2008) 1801-1807
25. Hayat T., Abbas Z., and Sajid M. Heat and mass transfer analysis on the flow of a second-grade fluid in the presence of chemical reaction. Phys. Lett. A372 (2008) 2400-2408
26. Sajid M., and Hayat T. On the analytic solution for thin film flow of a fourth-grade fluid down a vertical cylinder. Phys. Lett. A 361 (2007) 316-322
27. 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
28. 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 Dynam. 50 (2007) 27-35
29. Hayat T., and Javed T. On analytic solution for generalized three-dimensional MHD flow over a porous stretching sheet. Phys. Lett. A 370 (2007) 243-250
30. Hayat T., and Sajid M. Homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell Fluid. Int. J. Eng. Sci. 45 (2007) 393-401
31. Hayat T., Javed T., and Sajid M. Analytic solution for rotating flow and heat transfer analysis of a third-grade fluid. Acta Mech. 191 (2007) 219-229
32. Sajid M., Hayat T., and Asghar S. On the analytic solution of steady flow of a fourth-grade fluid. Phys. Lett. A 355 (2006) 18-24
33. Sajid M., and Hayat T. 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
34. Hayat T., Abbas Z., and Pop I. Mixed convection in the stagnation point flow adjacent to a vertical surface in a viscoelastic fluid. Int. J. Heat Mass Transfer 51 (2008) 3200-3206
35. Hayat T., Wang Y., and Hutter K. Flow of fourth-order fluid. Math. Models Methods Appl. Sci. 12 (2002) 797-811