Second order slip flow and heat transfer over a stretching sheet with non-linear Navier boundary condition

International Journal of Thermal Sciences

Volumn 58, Issue , 2012, Pages 143-150

  Nandeppanavar, Mahantesh M ^a   Vajravelu, K ^b   Abel, M Subhas ^c   Siddalingappa, M N ^a,c  

^a Government College   (India)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

^c GULBARGA UNIVERSITY   (India)

Author keywords

Exact solution; Mass transfer; Runge Kutta method; Second order slip model; Shooting technique; Stretching sheet

Indexed keywords

ENERGY EQUATION; EXACT SOLUTION; FIRST ORDER; FLOW AND HEAT TRANSFER; FOURTH ORDER RUNGE-KUTTA METHODS; HEATING CONDITIONS; MASS TRANSFER PARAMETERS; MOMENTUM EQUATION; NAVIER BOUNDARY CONDITIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NUMERICAL RESULTS; PHYSICAL PARAMETERS; PRESCRIBED HEAT FLUXES; PRESCRIBED SURFACE TEMPERATURES; SALIENT FEATURES; SECOND-ORDER SLIP; SHOOTING TECHNIQUE; SLIP PARAMETER; STRETCHING SHEET; WALL TEMPERATURES;

MASS TRANSFER; NUSSELT NUMBER; PARTIAL DIFFERENTIAL EQUATIONS;

RUNGE KUTTA METHODS;

EID: 84860782413     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijthermalsci.2012.02.019     Document Type: Article

References (44)

1. C.L.M.H. Navier Sur les lois du mouvement des fluids Men. Acad. R. Sci. Inst. Fr 6 1827 389 440
2. M.J. Miksis, and S.H. Davis Slip over rough and coated surfaces J. Fluid Mech. 273 1994 125 139
3. M. Gad-el-Hak The fluid mechanics of micro devices - the Freeman scholar lecture ASME J. Fluid. Eng. 121 1999 5 33
4. H.I. Andersson Slip flow past a stretching surface Acta Mech. 158 2002 121 125 (Pubitemid 35297922)
5. P.D. Arial, T. Hayat, and S. Asghar The flow of an elastico viscous fluid past a stretching sheet with a partial slip Acta Mech. 187 2006 29 35 (Pubitemid 44701716)
6. T. Hayat, T. Javed, and Z. Abbas Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space Int. J. Heat Mass Transfer 51 2008 4528 4534
7. G.S. Beavers, and D.D. Joseph Boundary condition at a naturally permeable wall J. Fluid Mech. 30 1967 197 207
8. W.A. Ebert, and E.M. Sparrow Slip flow in rectangular and annular ducts J. Basic Eng. 87 1965 1018 1024
9. E.M. Sparrow, G.S. Beavers, and L.Y. Hung Flow about a porous surfaced rotating disk Int. J. Heat Mass Transfer 14 1971 993 996
10. E.M. Sparrow, G.S. Beavers, and L.Y. Hung Channel and tube flows with surface mass transfer and velocity slip Phys. Fluids 14 1971 1312 1319
11. C.Y. Wang Stagnation flows with slip: exact solution of the Navier-Stokes equations ZAMP 54 2003 184 189 (Pubitemid 36229183)
12. C.Y. Wang Flow due to a stretching boundary with partial slip - an exact solution of the Navier-Stokes equations Chem. Eng. Sci. 57 2002 3745 3747 (Pubitemid 35212401)
13. P.D. Arial Axisymmetric flow due to stretching sheet with partial slip Comput. Math. Appl. 54 2007 1169 1183
14. M.T. Matthews, and J.M. Hill A note on the boundary layer equations with linear partial slip boundary condition Appl. Math. Lett. 21 2008 810 813
15. T. Zhang, L. Jia, and Z. Wang Validation of Navier-Stokes equation for the slip flow analysis within transition region Int. J. Heat Mass Transfer 51 2008 6323 6327
16. J. Hron, C.L. Roux, J. Malek, and K.R. Rajagopal Flow of incompressible fluids subject to Navier's slip on the boundary Comput. Math. Appl. 56 2008 2128 2143
17. G.C. Pereira Effect of variable slip boundary conditions on the flows of pressure driven non-Newtonian fluids J. Non-Newtonian Fluid Mech. 157 2009 197 206
18. T. Fang, J. Zhang, and S. Yao Slip MHD viscous flow over a stretching sheet - an exact solution Commun. Nonlinear Sci. Numer. Simul. 14 2009 3731 3737
19. N.F.M. Noor, S.A. Kechil, and F. Hashim Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet Commun. Nonlinear Sci. Numer. Simul. 15 2010 144 148
20. M.H. Yazdi, S. Abdullah, I. Hashim, and K. Sopian Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction Int. J. Heat Mass Transfer 54 2011 3214 3225
21. L.A. Wu A slip model for rarefied gas flows at arbitrary Knudsen number Appl. Phys. Lett. 93 2008 253
22. T. Cebeci, and P. Bradshaw Physical Computational Aspects of Convective Heat Transfer 1984 Spinger-Verlag New-York
23. S.D. Conte, and C. De Boor Elementary Numerical Analysis 1972 McGraw-Hill New-York
24. T. Fang, S. Yao, J. Zhang, and A. Aziz Viscous flow over a shrinking sheet with a second order slip flow model Commun. Nonlinear Sci. Numer. Simul. 15 2010 1831 1842
25. F.T. Akyildiz, H. Bellout, K. Vajravelu, and R.A. Van Gorder Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces Nonlinear Anal. Real World Appl. 12 2011 2919 2930
26. B. Sahoo, and S. Poncet Flow and heat transfer of a third grade fluid past an exponentially stretching sheet with partial slip boundary condition Int. J. Heat Mass Transfer 54 2011 5010 5019
27. M. Qasim, T. Hayat, and A.A. Hendi Effects of slip conditions on stretching flow with ohmic dissipation and thermal radiation Heat Transfer - Asian Res. 40 2011 641 654
28. J. Zhu, L. Zheng, and X. Zhang Hydrodynamic plane and axisymmetric slip stagnation-point flow with thermal radiation and temperature jump J. Mech. Sci. Technol. 25 2011 1837 1844
29. B. Sahoo Effects of slip on sheet-driven flow and heat transfer of a non-Newtonian fluid past a stretching sheet Comput. Math. Appl. 61 2011 1442 1456
30. Z. Abbas, and T. Hayat Stagnation slip flow and heat transfer over a nonlinear stretching sheet Numer. Methods Part. Differential Equation 27 2011 302 314
31. T. Fang, and A. Aziz Viscous flow with second-order slip velocity over a stretching sheet Z. Naturforschung - Sect. A J. Phys. Sci. 65 2010 1087 1092
32. M. Sajid, N. Ali, Z. Abbas, and T. Javed Stretching flows with general slip boundary condition Int. J. Mod. Phys. B 24 2010 5939 5947
33. B. Sahoo, and Y. Do Effects of slip on sheet-driven flow and heat transfer of a third grade fluid past a stretching sheet Int. Commun. Heat Mass Transfer 37 2010 1064 1071
34. B. Sahoo Effects of partial slip on axisymmetric flow of an electrically conducting viscoelastic fluid past a stretching sheet Cent. Eur. J. Phys. 8 2010 498 508
35. B. Sahoo Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip Commun. Nonlinear Sci. Numer. Simul. 15 2010 602 615
36. C.Y. Wang Analysis of viscous flow due to a stretching sheet with surface slip and suction Nonlinear Anal. Real World Appl. 10 2009 375 380
37. S. Kiwan, and M.A. Al-Nimr Flow and heat transfer over a stretched microsurface J. Heat Transfer 131 2009 1 8
38. K. Hiemenz, and J. Dinglers H. Schlichting, Boundary Layer Theory fourth ed. 1911 McFraw-Hill New York and London 321 324 1960
39. L.J. Crane Flow past a stretching plate Z. Angew. Math. Phys. 21 1970 645 647
40. B.C. Sakiadis Boundary layer behavior on continuous solid surface AIChEJ 7 1961 26 28
41. J.C. Maxwell On stresses in rarefied gases arising from inequalities of temperature Philos. Trans. Royal Soc. 170 1879 231 256
42. A. Beskok, and G.E. Karniadakis Simulation of heat and momentum transfer in complex micro-geometries J. Thermophys. Heat Transfer 8 1994 355 370
43. A. Beskok, and G.E. Karniadakis A model for flows in channels pipes and ducts at micro and nano scales Microscale Thermophys. Eng. 3 1999 43 77 (Pubitemid 129343211)
44. A.K. Srikanth Slip Flow Through Long Circular Tubes Proc. Sixth Int. Symposium on Rarefied gas dynamics 1969 Acadenic Press 667-680