Hydrodynamic plane and axisymmetric slip stagnation-point flow with thermal radiation and temperature jump

Journal of Mechanical Science and Technology

Volumn 25, Issue 7, 2011, Pages 1837-1844

  Zhu, Jing ^a   Zheng, Liancun ^a   Zhang, Xinxin ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

Author keywords

Homotopy analysis method; Slip flow; Stagnation point; Temperature jump; Thermal radiation

Indexed keywords

HOMOTOPY ANALYSIS METHODS; SLIP FLOW; STAGNATION POINTS; TEMPERATURE JUMP; THERMAL RADIATIONS;

HEAT RADIATION; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; VELOCITY;

SHEAR FLOW;

EID: 79961016340     PISSN: 1738494X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12206-011-0423-y     Document Type: Article

References (22)

1. K. Hiemenz, Die Grenzschicht an einem in den gleichformigen Fluessigkeitsstrom eingetauchten geraden Kreiszylinder, Dinglers Polytechnisches J., 326 (1911) 321-410.
2. T. Chiam, Stagnation-point flow towards a stretching plate, J. Phys. Soc. Jpn., 63(6) (1994) 2443-2444.
3. T. R. Mahapatra and A. S. Gupta, Heat transfer in stagnationpoint flow towards a stretching sheet, Heat Mass. Tran, 38(6) (2002) 517-521.
4. A. Ishak, R. Nazar and I. Pop, Dual solutions in mixed convection flow near a stagnation point on a vertical surface in a porous medium, Int. J. Heat Mass Tran., 51(5-6) (2008) 1150-1155.
5. A. Raptis, Flow of a micropolar fluid past a continuously moving plate by the presence of radiation, Int. J. Heat Mass Transfer, 41(18) (1998) 2865-2866.
6. H. A. M. El-Arabawy, Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation, Int. J. Heat Mass Transfer, 46(8) (2003) 1471-1477.
7. S. K. Khan, Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation, Int. J. Heat Mass Transfer, 49(3-4) (2006) 628-639.
8. A. Yoshimura and R. K. Prudhomme, Wall slip correc-tions for Couette and parallel disc viscometers, J. Rheol, 32(1) (1988) 53-67.
9. M. Mooney, Explicit formulas for slip and fluidity. J. Rheology, 2(2) (1931) 210-222.
10. I. J. Rao and K. R. Rajagopal, The effect of the slip condition on the flow of fluids in a channel, Acta Mech., 135(3) (1999) 113-126.
11. A. R. A. Khaled and K. Vafai, The effect of slip condition on Stokes and Couette flows due to an oscillating wall: exact solutions, Int. J. Non-Linear Mech, 39(5) (2004) 795-804.
12. T. Hayat, K. Masood and M. Ayub, The effect of the slip condition on flows of an Oldroyd 6-constant fluid, J. Comput. Appl. Math, 202(2) (2007) 402-413.
13. R. C. Chaudnary, A. K. Jiha and F. Hang, Effects of chemical reaction on MHD micropolar fluid flow past a vertical plate in slip-flow regime, Appl. Math. Mech., 29(9) (2008) 1179-1194.
14. H. I. Andersson and M. Rousselet, Slip flow over a lubricated rotating disk, Int. J. Heat. Fluid Flow, 27(2) (2006) 329-335.
15. F. Labropulu and D. Li, Stagnation-point flow of a secondgrade fluid with slip, Int. J. Non-Linear Mech, 43(9) (2008) 941-947.
16. C. Y. Wang, Flow due to a stretching boundary with partial slip-an exact solution of the Navier-Stokes equations, Chem. Eng. Sci, 57(17) (2002) 3745-3747.
17. C. Y. Wang, Stagnation slip flow and heat transfer on a moving plate, Chem. Eng. Sci., 61(23) (2006) 7668-7672.
18. S. J. Liao, Beyond perturbation: introduction to homo-topy analysis method, Boca Raton, Chapman (2003).
19. J. Zhu, L. C. Zheng and X. X. Zhang, Analytic solution of stagnation-point flow and heat transfer over a stretching sheet based on homotopy analysis, Appl. Math. Mech., 30(4) (2009) 463-474.
20. T. Hayat Z. Abbas and M. Sajid, Series solution for the upper-convected Maxwell fluid over a porous streching plate, Phys. Lett. A, 358(5-6) (2006) 396-403.
21. C. Wang and I. Pop, Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method, Journal of Non-Newtonian Fluid Mechanics, 138(2-3) (2006) 161-172.
22. M. M. Ali, T. S. Chen and B. F. Armaly, Natural convection-radiation interaction in boundary layer flow over horizontal surfaces, AIAA. J., 22(12) (1984) 1797-1803.