Multiple solutions of hydromagnetic permeable flow and heat for viscoelastic fluid

Journal of Thermophysics and Heat Transfer

Volumn 25, Issue 4, 2011, Pages 595-605

  Turkyilmazoglu, M ^a  

^a HACETTEPE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FRICTION; HEAT FLUX; HEAT TRANSFER; MAGNETOHYDRODYNAMICS; NAVIER STOKES EQUATIONS;

BOUNDARY LAYER EQUATIONS; CLOSED FORM SOLUTIONS; HEAT TRANSFER ANALYSIS; INJECTION PARAMETERS; MAGNETO-HYDRODYNAMIC FLOW; SKIN FRICTION COEFFICIENT; SURFACE TEMPERATURES; VIS-COELASTIC FLUIDS;

VISCOELASTICITY;

EID: 80054084664     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/1.T3749     Document Type: Article

References (36)

1. Fischer, E. G., Extrusion of Plastics, Wiley, New York, 1976, pp. 61-110.
2. Altan, T., Metal Forming Fundamentals and Applications, American Soc. of Metals, Metals Park, OH, 1979, pp. 20-89.
3. Sakiadis, B. C., "Boundary Layer Behavior on Continuous Solid Surfaces,"AICh E Journal, Vol. 7, 1961, pp. 26-28. doi:10.1002/aic. 690070108
4. Sakiadis, B. C., "Boundary Layer Behaviour on Continuous Solid Surfaces: II Boundary Layer on a Continuous Flat Surface," AICh E Journal, Vol. 7, 1961, pp. 221-225. doi:10.1002/aic.690070211
5. Tsou, F. K., Sparrow, E. M., and Golstain, R. J., "Flow and Heat Transfer in the Boundary-Layer on a Continuous Moving Surface," International Journal of Heat and Mass Transfer, Vol. 10, 1967, pp. 219-235. doi:10.1016/0017-9310(67)90100-7
6. Crane, L., "Flow Past a Stretching Plate," Zeitschriftfür Angewandte Mathematik und Physik, Vol. 21, 1970, pp. 645-647. doi:10.1007/BF01587695
7. Banks, W. H. H., "Similarity Solutions of the Boundary-Layer Equations for a Stretching Wall," Journal de Mecanique Theorique et Appliquee, Vol. 2, 1983, pp. 375-392. (Pubitemid 14483527)
8. Rajagopal, K. R., Na, T. Y., and Gupta, A. S., "Flow of Viscoelastic Fluid over a Stretching Sheet," Rheologica Acta, Vol. 23, 1984, pp. 213-215. doi:10.1007/BF01332078
9. Mc Leod, J. B., and Rajagopal, K. R., "On the Uniqueness of Flow of a Navier-Stokes Fluid due to a Stretching Boundary," Archive for Rational Mechanics and Analysis, Vol. 98, 1987, pp. 385-395. doi:10.1007/BF00276915
10. Chang, W. D., "The Non-Uniqueness of the Flow of a Viscoelastic Fluid over a Stretching Sheet," Quarterly of Applied Mathematics, Vol. 47, 1989, pp. 365-366.
11. Rao, B. N., "Technical Note: Flow of a Fluid of Second Grade over a Stretching Sheet," International Journal of Non-Linear Mechanics, Vol. 31, 1996, pp. 547-550. doi:10.1016/0020-7462(96)00009-1 (Pubitemid 126363166)
12. Nataraja, H. R., Sarma,M. S., and Rao, B. N., "Flow of a Second-Order Fluid over a Stretching Surface Having Power-Law Temperature," Acta Mechanica,Vol. 128, 1998,pp. 259-262. doi:10.1007/BF01251896 (Pubitemid 128550378)
13. Vajravelu, K., and Roper, T., "Flow And Heat Transfer in a Second Grade Fluid over a Stretching Sheet," International Journal of Non-Linear Mechanics, Vol. 34, 1999, pp. 1031-1036. doi:10.1016/S0020-7462(98)00073-0 (Pubitemid 129540904)
14. Magyari, E., Ali, M. E., and Keller, B., "Heat and Mass Transfer Characteristics of the Self-Similar Boundary-Layer Flows Induced by Continuous Surfaces Stretched with Rapidly Decreasing Velocities," Heat and Mass Transfer, Vol. 38, 2001, pp. 65-74. doi:10.1007/s002310000126 (Pubitemid 34881890)
15. Khan, M., and Sanjayan, E., "Viscoelastic Boundary Layer Flow and Heat Transfer over an Exponential Stretching Sheet," International Journal of Heat and Mass Transfer, Vol. 48, 2005, pp. 1534-1542. doi:10.1016/j. ijheatmasstransfer.2004.10.032 (Pubitemid 40318779)
16. Raptis, A., and Perdikis, C., "Viscous Flowover a Non-Linearly Stretching Sheet in the Presence of a Chemical Reaction and Magnetic Field," International Journal of Non-Linear Mechanics, Vol. 41, 2006, pp. 527-529. doi:10.1016/j.ijnonlinmec.2005.12.003
17. Akyildiz, F T., and Vajravelu, K., "Magnetohydrodynamic Flow of a Viscoelastic Fluid," Physics Letters A, Vol. 372, 2008, pp. 3380-3384. doi:10.1016/j.physleta.2008.01.073
18. Mushtaq, M., Asghar, S., and Hossain, M. A., "Mixed Convection Flow of Second Grade Fluid Along a Vertical Stretching Flat Surface with Variable Surface Temperature," Heat and Mass Transfer, Vol. 43,2006, pp. 1049-1061. doi:10.1007/s00231-006-0177-8
19. Arnold,J. C.,Asir,A. A., Somasundaram, S.,and Christopher,T.,"Heat Transfer in a Viscoelastic Boundary Layer Flow over a Stretching Sheet," International Journal of Heat and Mass Transfer, Vol. 53,2010, pp. 1112-1118. doi:10.1016/j.ijheatmasstransfer.2009.10.046
20. Chen, C.-H., "Combined Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Flow Past a Permeable, Stretching Surface with Free Convection and Radiative Heat Transfer," Journal of Heat Transfer, Vol. 132, 2010, Paper 064503. doi:10.1115/1.4000946
21. Datti, P. S.,Pradas,K. V., Abel,M. S.,and Joshi,A.,"Mhd Visco-Elastic Fluid Flow over a Non-Isothermal Stretching Sheet," International Journal of Engineering Science, Vol. 42, 2004, pp. 935-946. doi:10.1016/j.ijengsci.2003.09.008
22. Liu, I.-C., "Flow and Heat Transfer of an Electrically Conducting Fluid of Second Grade over a Stretching Sheet Subject to a Transverse Magnetic Field," International Journal of Heat and Mass Transfer, Vol. 47, 2004, pp. 4427-4437. doi:10.1016/j.ijheatmasstransfer.2004.03.029 (Pubitemid 38958478)
23. Siddheshwar, P. G., and Mahabaleswar, U. S., "Effects of Radiation and Heat Source on MHD Flow of a Viscoelastic Liquid and Heat Transfer over a Stretching Sheet," International Journal of Non-Linear Mechanics, Vol. 40, 2005, pp. 807-820. doi:10.1016/j.ijnonlinmec.2004.04.006 (Pubitemid 40391392)
24. Abbas, Z., Wang, Y., Hayat, T., and Oberlack, M., "Hydromagnetic Flow in a Viscoelastic Fluid due to the Oscillatory Stretching Surface," International Journal of Non-Linear Mechanics, Vol. 43, 2008, pp. 783-793. doi:10.1016/j.ijnonlinmec.2008.04.009
25. Singh, A. K., "Heat Source and Radiation Effects on Magneto-Convection Flow of a Viscoelastic Fluid Past a Stretching Sheet: Analysis with Kummers Functions," International Communications in Heat and Mass Transfer, Vol. 35, 2008, pp. 637-642. doi:10.1016/j.icheatmasstransfer. 2008.01.009
26. Hunter, L. W., and Kuttler, J. R., "Enthalpy Method for Ablation-Type Moving Boundary Problems," Journal of Thermophysics and Heat Transfer, Vol. 5, 1991, pp. 240-242. doi:10.2514/3.253
27. Chaandapos, O., Chen, K., and Chang, W. C., 'Transient Analysis of Forced Convection Along a Wavy Surface in Micropolar Fluids," Journal of Thermophysics and Heat Transfer, Vol. 14, 2000, pp. 340-347. doi:10.2514/2.6550
28. Kulish V. V., and Novozhilov, V. B. "Integral Equation for the Heat Transfer with the Moving Boundary," Journal of Thermophysics and Heat Transfer, Vol. 17 (2003) pp538-540. doi:10.2514/2.7653 (Pubitemid 37396437)
29. Miklavcic, M., and Wang, C. Y., "Viscous Flow due to a Shrinking Sheet," Quarterly of Applied Mathematics, Vol. 64, 2006, pp. 283-290. (Pubitemid 44295911)
30. Fang, T., "Boundary Layer Flow over a Shrinking Sheet with Power-Law Velocity," International Journal of Heat and Mass Transfer, Vol. 51, 2008, pp. 5838-5843. doi:10.1016/j.ijheatmasstransfer.2008.04.067
31. Hayat, T., Abbas, Z., and Sajid, M., "On the Analytic Solution of Magnetohydrodynamic Flow of a Second Grade Fluid over a Shrinking Sheet," Journal of Applied Mechanics, Vol. 74, 2007, pp. 165-161. doi:10.1115/1.1940665 (Pubitemid 46712341)
32. Fang, T., and Zhang, J., "Thermal Boundary Layers over a Shrinking Sheet: An Analytical Solution," Acta Mechanica, Vol. 209, 2009, pp. 325-343. doi:10.1007/s00707-009-0183-2
33. Fang, T., and Zhang, J., "Closed-Form Exact Solutions of MHD Viscous Flow over a Shrinking Sheet," Communications in Nonlinear Science and Numerical Simulation, Vol. 14, 2009, pp. 2853-2857. doi:10.1016/j.cnsns.2008.10. 005
34. Fang, T., Yao, S., Zhang, J., and Aziz, A., "Viscous Flow over a Shrinking Sheet with a Second Order Slip Flow Model," Communications in Nonlinear Science and Numerical Simulation, Vol. 15,2010, pp. 1831-1842. doi:10.1016/j.cnsns.2009.07.017
35. Seddeek, M. A., and Abdelmeguid, M. S., "Effects of Radiation and Thermal Diffusivity on the Heat Transfer over a Stretching with Variable Heat Flux," Physics Letters A, Vol. 348, 2006, pp. 172-179. doi:10.1016/j. physleta.2005.01.101 (Pubitemid 41803007)
36. Bataller, R. C., "Viscoelastic Fluid Flow and Heat Transfer over a Stretching Sheet Under the Effects of a Non-Uniform Heat Source, Viscous Dissipation and Thermal Radiation," International Journal of Heatand Mass Transfer, Vol. 50, 2007, pp. 3152-3162. doi:10.1016/j.ijheatmasstransfer.2007. 01.003 (Pubitemid 46653893)