Influence of melting heat transfer in the stagnation-point flow of a jeffrey fluid in the presence of viscous dissipation

Journal of Applied Mechanics, Transactions ASME

Volumn 79, Issue 2, 2012, Pages

  Mustafa, M ^a   Hayat, T ^b,c   Hendi, Awatif A ^c  

^a NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

^b QUAID I AZAM UNIVERSITY   (Pakistan)

^c KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Jeffrey fluid; melting heat transfer; stagnation point flow; viscous dissipation

Indexed keywords

BOUNDARY LAYER THICKNESS; COMPARATIVE STUDIES; DEBORAH NUMBERS; DIFFERENTIAL SYSTEMS; ELASTIC PARAMETERS; HEAT TRANSFER ANALYSIS; HOMOTOPY ANALYSIS METHODS; JEFFREY FLUID; MELTING HEAT TRANSFER; MELTING PROCESS; STAGNATION-POINT FLOW; STRETCHING SHEET; VISCOUS DISSIPATION;

FORCED CONVECTION; MELTING; VISCOUS FLOW;

HEAT TRANSFER;

EID: 84859910461     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4005560     Document Type: Article

References (23)

1. Al-Nimr, M. A., Khadrawi, A. F., and Othman, A., 2005, Basic Viscoelastic Fluid Flow Problems Using Jeffrey's Model., Chem. Eng. Sci., 60, pp. 7131-7136. 10.1016/j.ces.2005.07.006 (Pubitemid 41260624)
2. Hayat, T., Ahmad, N., and Ali, N., 2008, Effects of an Endoscope and Magnetic Field on the Peristalsis Involving Jeffrey Fluid., Commun. Nonlinear Sci. Numer. Simul., 13, pp. 1581-1591. 10.1016/j.cnsns.2007.02.008 (Pubitemid 351250730)
3. Kothandapani, M. and Srinivas, S., 2008, Peristaltic Transport of a Jeffrey Fluid Under the Effect of Magnetic Field in an Asymmetric Channel., Int. J. Nonlinear Mech., 43, pp. 915-924. 10.1016/j.ijnonlinmec.2008.06.009
4. Hayat, T. and Ali, N., 2008, Peristaltic Motion of a Jeffrey Fluid Under the Effect of a Magnetic Field in a Tube., Commun. Nonlinear Sci. Numer. Simul., 13, pp. 1343-1352. 10.1016/j.cnsns.2006.12.009
5. Hayat, T. and Mustafa, M., 2010, Influence of Thermal Radiation on the Unsteady Mixed Convection Flow of a Jeffrey Fluid Over a Stretching Sheet., Z. Naturforsch. A: Phys. Sci., 65, pp. 711-719.
6. Crane, L. J., 1970, Flow Past a Stretching Plate., Z. Angew. Math. Phys., 21, pp. 645-647. 10.1007/BF01587695
7. Kiwan, S. and Al-Nimr, M. A., 2009, Flow and Heat Transfer Over a Stretched Micro-Surface., ASME J. Heat Transfer, 131, pp. 1-8. 10.1115/1.3090811
8. Kiwan, S. and Al-Nimr, M. A., 2010, Investigation into the Similarity Solution for Boundary Layer Flows in Microsystems., ASME J. Heat Transfer, 132, pp. 1-9. 10.1115/1.4000886
9. T. C. Chiam, T. C., 1994, Stagnation-Point Flow Towards a Stretching Plate., J. Phys. Soc. Jpn., 63, pp. 2443-2444. 10.1143/JPSJ.63.2443
10. Mahapatra, T. R., Nandy, S. K., and Gupta, A. S., Magnetohydrodynamic Stagnation-Point Flow of a Power-Law Fluid Towards a Stretching Surface., Int. J. Non-Linear Mech., 44, pp. 124-129. 10.1016/j.ijnonlinmec.2008.09.005
11. Lapropulu, F. and Li, D., 2008, Stagnation-Point Flow of a Second Grade Fluid With Slip., Int. J. Non-Linear Mech., 43, pp. 941-947. 10.1016/j.ijnonlinmec.2008.07.004
12. Hayat, T., Abbas, Z., and Sajid, M., 2009, MHD Stagnation-Point Flow of an Upper-Convected Maxwell Fluid Over a Stretching Surface., Chaos, Soliton Fractals, 39, pp. 840-848. 10.1016/j.chaos.2007.01.067
13. Epstein, M., 1975, The Effect of Melting on Heat Transfer to Submerged Bodies., Heat Mass Transfer, 2, pp. 97-104.
14. M. Epstein, M. and Cho, D. H., 1976, Melting Heat Transfer in Steady Laminar Flow Over a Flat Plate., ASME J. Heat Transfer, 98, pp. 531-533. 10.1115/1.3450595
15. Liao, S. J., 2009, Notes on the Homotopy Analysis Method: Some Definitions and Theorems., Commun. Nonlinear Sci. Numer. Simul., 14, pp. 983-997. 10.1016/j.cnsns.2008.04.013
16. Xu, X., Liao, S. J., and You, X. C., 2009, Analysis of Nonlinear Fractional Partial Differential Equations with Homotopy Analysis Method., Commun. Nonlinear Sci. Numer. Simul., 14, pp. 1152-1156. 10.1016/j.cnsns.2008. 04.008
17. Bataineh, A. S., Noorani, M. S. M., and Hashim, I., 2009, Homotopy Analysis Method for Singular IVPs of Emden-Fowler Type., Commun. Nonlinear Sci. Numer. Simul., 14, pp. 1121-1131. 10.1016/j.cnsns.2008.02.004
18. Abbasbandy, S., 2010, Homotopy Analysis Method for the Kawahara Equation., Nonlinear Anal.: Real World Appl., 11, pp. 307-312. 10.1016/j.nonrwa.2008.11.005
19. Hayat, T., Mustafa, M., and Mesloub, S., 2010, Mixed Convection Boundary Layer Flow Over a Stretching Surface Filled With a Maxwell Fluid in Presence of Soret and Dufour Effects., Z. Naturforsch. A: Phys. Sci., 65, pp. 401-410.
20. Hayat, T., Mustafa, M., Shehzad, S. A., and Obaidat, S., 2012, Melting Heat Transfer in the Stagnation-Point Flow of an Upper-Convected Maxwell (UCM) Fluid Past a Stretching Sheet., Int. J. Numer. Methods Fluids, 68, pp. 233-243. 10.1002/fld.2503
21. Mahapatra, T. R. and Gupta, A. S., 2002, Heat Transfer in the Stagnation-Point Flow Towards a Stretching Surface., Heat Mass Transfer, 38, pp. 517-521. 10.1007/s002310100215 (Pubitemid 34777515)
22. Ishak, A., Nazar, R., Amin, N., Filip, D., and Pop, I., 2007, Mixed Convection in the StagnaTion-Point Flow Towards a Stretching Vertical Permeable Sheet., Malaysian J. Math. Sci., 2, pp. 217-226.
23. Schlichting, H., Gersten, K., and Gersten, K., 2000, Boundary Layer Theory, Springer, New York.