On the stagnation-point flow towards a stretching sheet with homogeneous-heterogeneous reactions effects

Communications in Nonlinear Science and Numerical Simulation

Volumn 16, Issue 11, 2011, Pages 4296-4302

  Bachok, Norfifah ^a   Ishak, Anuar ^b,c   Pop, Ioan ^d  

^a UNIVERSITY PUTRA MALAYSIA   (Malaysia)

^b UNIVERSITI KEBANGSAAN MALAYSIA   (Malaysia)

^c UNIVERSITY OF MALAYA   (Malaysia)

^d BABE BOLYAI UNIVERSITY   (Romania)

Author keywords

Homogeneous heterogeneous reactions; Stagnation point flow; Stretching sheet

Indexed keywords

BOUNDARY LAYER FLOW; STREAM FLOW; VELOCITY;

BOUNDARY-LAYER FLOWS; FREESTREAM VELOCITY; HETEROGENEOUS REACTIONS; HOMOGENEOUS-HETEROGENEOUS; HOMOGENEOUS-HETEROGENEOUS REACTION; STAGNATION POINTS; STAGNATION-POINT FLOW; STRETCHING SHEET; STRETCHING SURFACE; STRETCHING VELOCITY;

BOUNDARY LAYERS;

EID: 79957916315     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.01.008     Document Type: Article

References (46)

1. Karwe M.V., Jaluria Y. Fluid flow and mixed convection transport from a moving plate in rolling and extrusion processes. ASME J Heat Transfer 1998, 110:655-661.
2. Crane L.J. Flow past a stretching plate. J Appl Math Phys (ZAMP) 1970, 21:645-647.
3. Chiam T.C. Stagnation-point flow towards a stretching plate. J Phys Soc Japan 1994, 63:2443-2444.
4. Chiam T.C. Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet. Int Comm Heat Mass Transfer 1996, 23:239-248.
5. Mahapatra T.R., Gupta A.S. Stagnation-point flow towards a stretching surface. Can J Chem Eng 2003, 81:258-263.
6. Wang C.Y. The three-dimensional flow due to a stretching flat surface. Phys Fluids 1984, 27:1915-1917.
7. Nazar R., Amin N., Filip D., Pop I. Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. Int J Eng Sci 2004, 42:1241-1253.
8. Nadeem S., Hussain A., Khan M. HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet. Commun Nonlinear Sci Numer Simul 2010, 15:475-481.
9. Williams W.R., Stenzel M.T., Song X., Schmidt L.D. Bifurcation behaviour in homogeneous-heterogeneous combustion. I. Experimental results over platinum. Combust Flame 1991, 84:277-291.
10. Williams W.R., Zhao J., Schmidt L.D. Ignition and extinction of surface and homogeneous oxidation of NH3 and CH4. AIChE J 1991, 37:641-649.
11. Song X., Williams W.R., Schmidt L.D., Aris R. Bifurcation behaviour in homogeneous-heterogeneous combustion. II. Computations for stagnation-point flow. Combust Flame 1991, 84:292-311.
12. Song X., Schmidt L.D., Aris R. Steady states and oscillations in homogeneous-heterogeneous reactions systems. Chem Eng Sci 1991, 46:1203-1215.
13. Song X., Schmidt L.D., Aris R. The ignition criteria for stagnation-point flow: Semenov-Frank-Kamenetskii or van't Hoff. Combust Sci and Tech 1991, 75:311-331.
14. Ikeda H., Libby P.A., Williams F.A. Catalytic combustion of hydrogen-air mixtures in stagnation flows. Combust Flame 1993, 93:138-148.
15. Chaudhary M.A., Merkin J.H. A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I equal diffusivities. Fluid Dyn Res 1995, 16:311-333.
16. Chaudhary M.A., Merkin J.H. A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. II unequal diffusivities. Fluid Dyn Res 1995, 16:335-359.
17. Merkin J.H. A model for isothermal homogeneous-heterogeneous reactions in boundary-layer flow. Math Comput Model 1996, 24:125-136.
18. Pop I., Merkin J.H., Ingham D.B. Chemically driven convection in porous media. Transport phenomena in porous media III 2005, Elsevier, Oxford. D.B. Ingham, I. Pop (Eds.).
19. Mahapatra T.R., Gupta A.S. Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transfer 2002, 38:517-521.
20. Mahapatra T.R., Gupta A.S. Stagnation-point flow of a viscoelastic fluid towards a stretching surface. Int J Non-Linear Mech 2004, 39:811-820.
21. Miklavčič M., Wang C.Y. Viscous flow due to a shrinking sheet. Quart Appl Math 2006, 64:283-290.
22. Ishak A., Nazar R., Pop I. Unsteady mixed convection boundary layer flow due to a stretching vertical surface. Arabian J Sci Eng 2006, 31:165-182.
23. Ishak A., Nazar R., Pop I. Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. Nonlinear Anal RWA 2009, 10:2909-2913.
24. Ishak A., Nazar R., Pop I. Mixed convection boundary layers in the stagnation-point flow towards a stretching vertical sheet. Meccanica 2006, 41:509-518.
25. Ishak A., Jafar K., Nazar R., Pop I. MHD stagnation point flow towards a stretching sheet. Physica A 2009, 388:3377-3383.
26. Ishak A., Lok Y.Y., Pop I. Stagnation-point flow over a shrinking sheet in a micropolar fluid. Chem Eng Commun 2010, 197:1417-1427.
27. Liao S.J. A new branch of solution of boundary-layer flows over a permeable stretching plate. Int J Non-Linear Mech 2007, 42:819-830.
28. Hayat T., Abbas Z., Sajid M. On the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet. ASME J Appl Mech 2007, 74:1165-1171.
29. Fang T. Boundary layer flow over a shrinking sheet with power-law velocity. Int J Heat Mass Transfer 2008, 51:5838-5843.
30. Fang T., Zhang J. Closed-form exact solutions of MHD viscous flow over a shrinking sheet. Commun Nonlinear Sci Numer Simul 2009, 14:2853-2857.
31. Fang T., Zhang J. Heat transfer over a shrinking sheet - an analytical solution. Acta Mech 2010, 209:325-343.
32. Fang T., Liang W., Lee C.F. A new solution branch for the Blasius equation - a shrinking sheet problem. Comput Math Appl 2008, 56:3088-3095.
33. Fang T., Zhang J., Yao S. Viscous flow over an unsteady shrinking sheet with mass transfer. Chin Phys Lett 2009, 26:014703.
34. Sajid M., Hayat T. The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet. Chaos Soliton Fractals 2009, 39:1317-1323.
35. Yacob N.A., Ishak A. Stagnation-point flow towards a streching surface immersed in a micropolar fluid with prescribed surface heat flux. Sains Malaysiana 2010, 39:285-290.
36. Bachok N., Ishak A., Pop I. Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet. Phys Lett A 2010, 374:4075-4079.
37. Chaudhary M.A., Merkin J.H. Homogeneous-heterogeneous reactions in boundary-layer flow: effects of loss of reactant. Math Comput Model 1996, 24:21-28.
38. Keller H.B. A new difference scheme for parabolic problems. Numerical solutions of partial differential equations 1970, Academic Press, New York.
39. Cebeci T., Bradshaw P. Physical and computational aspects of convective heat transfer 1988, Springer-Verlag, New York.
40. Ishak A., Nazar R., Pop I. Post-stagnation-point boundary layer flow and mixed convection heat transfer over a vertical, linearly stretching sheet. Arch Mech 2008, 60:303-322.
41. Merkin J.H. On dual solutions occurring in mixed convection in a porous media. J Eng Math 1985, 20:171-179.
42. Weidman P.D., Kubitschek D.G., Davis A.M.J. The effect of transpiration on self-similar boundary layer flow over moving surface. Int J Eng Sci 2006, 44:730-737.
43. Merrill K., Beauchesne M., Previte J., Paullet J., Weidman P. Final steady flow near a stagnation point on a vertical surface in a porous medium. Int J Heat Mass Transfer 2006, 49:4681-4686.
44. Paullet J., Weidman P. Analysis of stagnation point flow toward a stretching sheet. Int J Non-Linear Mech 2007, 42:1084-1091.
45. Harris S.D., Ingham D.B., Pop I. Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip. Trans Porous Media 2009, 77:267-285.
46. Postelnicu A., Pop I. Falkner-Skan boundary layer flow of a power-law fluid past a stretching wedge. Appl Math Comput 2011, 217:4359-4368.