Flow and heat transfer of MHD viscous fluid over an unsteady stretching surface with radiation heat flux

Chemical Engineering Communications

Volumn 199, Issue 1, 2012, Pages 1-16

  Zheng, Liancun ^a   Wang, Lijuan ^a   Zhang, Xinxin ^a   Ma, Lianxi ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^b Blinn College   (United States)

Author keywords

Flow and heat transfer; Homotopy analysis method; MHD fluid; Radiation; Unsteady stretching

Indexed keywords

ANALYTICAL SOLUTIONS; FLOW AND HEAT TRANSFER; HOMOTOPY ANALYSIS; HOMOTOPY ANALYSIS METHODS; MAGNETIC PARAMETERS; RADIATION HEAT FLUX; RADIATION PARAMETERS; SIMILARITY TRANSFORMATION; STRETCHING SURFACE; TEMPERATURE FIELD; THEORETICAL RESEARCH; TRANSFER CHARACTERISTICS; UNSTEADY STRETCHING; VELOCITY FIELD; VISCOUS FLUIDS;

FLUIDS; HEAT FLUX; HEAT TRANSFER; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATION EFFECTS; VELOCITY; VISCOUS FLOW;

MAGNETOHYDRODYNAMICS;

EID: 80053318376     PISSN: 00986445     EISSN: 15635201     Source Type: Journal    
DOI: 10.1080/00986445.2010.524503     Document Type: Article

References (25)

1. Abbas, Z., Hayat, T., Sajid, M., and Asghar, S. (2008). Unsteady flow of a second grade fluid film over an unsteady streaching sheet, Math. Comput. Model., 48, 518-526.
2. Abd El-Aziz, M. (2009). Radiation effect on the flow and heat transfer over an unsteady stretching sheet, Int. Commun. Heat Mass Transfer, 36, 521-524.
3. Abel, M. S., Mahesha, N., and Tawade, J. (2009). Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field, Appl. Math. Model., 33, 3430-3441.
4. Andersson, H. I., Aarseth, J. B., and Dandapat, B. S. (2000). Heat transfer in a liquid film on an unsteady stretching surface, Int. J. Heat Mass Transfer, 43, 69-74.
5. Chiam, T. C. (1995). Hydromagnetic flow over a surface stretching with a power-law velocity, Int. J. Eng. Sci., 33, 429-435.
6. Cortell, R. (2008). Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet, Phys. Lett. A, 372, 631-636.
7. Dinarvand, S. (2009). A reliable treatment of the homotopy analysis method for viscous flow over a non-linearly stretching sheet in presence of a chemical reaction and under influence of a magnetic field, Cent. Eur. J. Phys., 7, 114-122.
8. Dinarvand, S., and Rashidi, M. M. (2010). A reliable treatment of a homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls, Nonlinear Anal. Real World Appl., 11, 1502-1512.
9. Hang, X., Liao, S. J., and Pop, I. (2007). Series solutions of unsteady three-dimensional MHD flow and heat transfer in the boundary layer over an impulsively stretching plate, Eur. J. Mech. B Fluids, 26, 15-27.
10. Kumari, M., and Nath, G. (2009). Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface, Commun. Nonlinear Sci. Numer. Simul., 14, 3339-3350.
11. Liao, S. J. (1992). The proposed homotopy analysis technique for the solution of nonlinear problems, PhD diss., Shanghai Jiao Tong University.
12. Liao, S. J. (2003). Beyond Perturbation: Introduction to the Homotophy Analysis Method, Chapman and Hall=CRC Press, Boca Raton, Fla.
13. Liao, S. J. (2010). An optimal homotopy-analysis approach for strongly nonlinear differential equations, Commun. Nonlinear Sci. Numer. Simul., 15, 2003-2016.
14. Rashidi, M. M., and Dinarvand, S. (2009). Purely analytic approximate solutions for steady three-dimensional problem of condensation film on inclined rotating disk by homotopy analysis method, Nonlinear Anal. Real World Appl., 10, 2346-2356.
15. Sakiadis, B. C. (1961). Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow, AIChE J., 7, 26-28.
16. Takhar, H. S., Chamkha, A. J., and Nath, G. (1999). Unsteady flow and heat transfer on a semi-infinite flat plate with an aligned magnetic field, Int. J. Eng. Sci., 37, 1723-1736.
17. Tsou, F. K., Sparrow, E. M., and Goldstein, R. J. (1967). Flow and heat transfer in the boundary-layer on a continuous moving surface, Int. J. Heat Mass Transfer, 10, 219-235.
18. Vajravelu, K. A., and Hadjinicolaou, A. (1997). Convective heat transfer in an electrically conducting fluid at a stretching surface with a uniform free stream, Int. J. Eng. Sci., 35, 1237-1244.
19. Wang, C. (2006). Analytic solutions for a liquid film on an unsteady stretching surface, Heat Mass Transfer, 42, 759-766.
20. Wang, C. Y. (1990). Liquid film on an unsteady stretching surface, Q. Appl. Math., 48, 601-610.
21. Wang, C., and Pop, I. (2006). Analysis of the flow of a power-law fluid film on an unsteady stretching surface by means of homotopy analysis method, J. Non-Newtonian Fluid Mech., 138, 161-172.
22. Zheng, L. C., and He, J. C. (1999). Existence and non-uniqueness of positive solutions to a non-linear boundary value problems in the theory of viscous fluids, Dyn. Syst. Appl., 8, 133-145.
23. Zheng, L. C., Zhang, X. X., and He, J. C. (2003). Drag force of non-Newtonian fluid on a continuous moving surface with strong suction=blowing, Chin. Phys. Lett., 20, 858-861.
24. Zheng, L. C., Liu, T., and Zhang, X. X. (2008). Boundary layer flow on a moving surface in otherwise quiescent pseudo-plastic non-Newtonian fluids, J. Univ. Sci. Technol. Beijing, 15, 241-244.
25. Ziabakhsh, Z., and Domairry, G. (2009). Analytic solution of natural convection flow of a non-Newtonian fluid between two vertical flat plates using homotopy analysis method, Commun. Nonlinear Sci. Numer. Simul., 14, 1868-1880.