THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER OF A JEFFREY FLUID TOWARDS A STRETCHING VERTICAL SURFACE

ABSTRACT
This study investigates the steady-mixed convection boundary layer flow near a stagnation point that runs about a linearly stretched vertical surface filled with a Jeffery fluid in the presence of a transverse magnetic field. It is assumed that the external velocity impinges normally to the wall and the wall temperature varies linearly with the distance from the stagnation point. The governing partial differential equations that govern the fluid flow are transformed into a set of coupled ordinary differential equations, which are then solved numerically using a finite-difference scheme. The numerical results are presented for some values of parameters, namely the Deborah number γ, the Prandtl number Pr, the magnetic parameter M and the mixed convection parameter λ, for both assisting and opposing flows.
KEYWORDS
PAPER SUBMITTED: 2014-11-03
PAPER REVISED: 2015-02-10
PAPER ACCEPTED: 2015-03-09
PUBLISHED ONLINE: 2015-03-08
DOI REFERENCE: https://doi.org/10.2298/TSCI141103029A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 1, PAGES [267 - 277]
REFERENCES
  1. Karwe, M.V., Jaluria, Y., Numerical Simulation of Thermal Transport Associated with a Continuously Moving Flat Sheet in Material Processing, ASME Journal of Heat Transfer, 113 (1991), 3, pp. 612-619
  2. Crane, L.J., Flow Past a Stretching Plate. Zeitschrift für angewandte Mathematik und Physik ZAMP, 21 (1970), 4, pp. 645-647
  3. Hiemenz, K., Die Grenzschicht an einem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder, Dinglers Polytechn J, 326 (1911), pp. 321-324
  4. Ishak, A., et al., Mixed Convection Boundary Layers in the Stagnation-Point Flow Toward a Stretching Vertical Sheet, Meccanica, 41 (2006), 5, pp. 509-518
  5. Ishak, A., et al., Unsteady Mixed Convection Boundary Layer Flow due to a Stretching Vertical Surface, Arabian Journal for Science and Engineering, 31 (2006), 2B, pp. 165-182
  6. Ishak, A., et al., MHD Mixed Convection Boundary Layer Flow towards a Stretching Vertical Surface With Constant Wall Temperature, International Journal of Heat and Mass Transfer, 53 (2010), 23-24, pp. 5330-5334
  7. Pal, D., Heat and Mass Transfer in Stagnation-Point Flow towards a Stretching Surface in the Presence of Buoyant Force and Thermal Radiation, Meccanica, 44 (2009), 44, pp. 145-158
  8. Ali, F.M., et al., MHD Mixed Convection Boundary Layer Flow toward a Stagnation Point on a Vertical Surface with Induced Magnetic Field, ASME Journal of Heat Transfer, 133 (2010), 2, p. 022502
  9. Chen, C.H., Mixed Convection Unsteady Stagnation-Point Flow towards a Stretching Sheet with Slip Effects, Mathematical Problems in Engineering, 2014 (2014), Article ID 435697, 7 pages
  10. Saleh, S.H.M., et al., Mixed Convection Stagnation-Flow towards a Vertical Shrinking Sheet, International Journal of Heat and Mass Transfer, 73 (2014), pp. 839-848
  11. Ellahi, R., et al., A Study on the Mixed Convection Boundary Layer Flow and Heat Transfer over a Vertical Slender Cylinder, Thermal Science, 18 (2014), 4, pp. 1247-1258
  12. Rashidi, M.M., Mehr, N.F., Series Solutions for the Flow in the Vicinity of the Equator of an Magnetohydrodynamic Boundary-Layer over a Porous Rotating Sphere with Heat Transfer, Thermal Science, 18 (2014), pp. S527-S537
  13. Rashidi, S., et al. Study of Stream Wise Transverse Magnetic Fluid Flow with Heat Transfer Around a Porous Obstacle, Journal of Magnetism and Magnetic Materials, 378 (2015), pp. 128-137
  14. Boricic, A.Z., et al., Magnetohydrodynamic Effects on Unsteady Dynamic, Thermal and Diffusion Boundary Layer Flow over a Horizontal Circular Cylinder, Thermal Science, 16 (2012), pp. S311-S321
  15. Lok, Y., et al., Unsteady Mixed Convection Flow of a Micropolar Fluid Near the Stagnation- Point on a Vertical Surface, International Journal of Thermal Sciences, 45 (2006), 12, pp. 1149-1157
  16. Abbas, Z., et al., Mixed Convection in the Stagnation-Point Flow of a Maxwell Fluid towards a Vertical Stretching Surface, Nonlinear Analysis: Real World Applications, 11 (2010), 4, pp. 3218-3228
  17. Ahmad, K., Nazar, R., Unsteady Magnetohydrodynamic Mixed Convection Stagnation-Point Flow of a Viscoelastic Fluid on a Vertical Surface, Journal of Quality Measurement and Analysis, 6 (2010), 2, pp. 105-117
  18. Das, K., Slip Effects on MHD Mixed Convection Stagnation-Point Flow of a Micropolar Fluid towards a Shrinking Vertical Sheet, Computers & Mathematics with Applications, 63 (2012), 1, pp. 255-267
  19. Makinde, O.D., et al., Buoyancy Effects on MHD Stagnation-Point Flow and Heat Transfer of a Nanofluid Past a Convectively Heated Stretching/Shrinking Sheet, International Journal of Heat and Mass Transfer, 62 (2013), pp. 526-533
  20. Ellahi, R.,The Effects of MHD and Temperature Dependent Viscosity on the Flow of Non-Newtonian Nanofluid in a Pipe: Analytical Solutions, Applied Mathematical Modelling, 37 (2013), 3, pp. 1451-1457
  21. Ellahi, R., et al., M., Series Solutions of Magnetohydrodynamic Peristaltic Flow of a Jeffrey Fluid in Eccentric Cylinders, Applied Mathematics & Information Sciences, 7 (2013), pp. 1441-1449
  22. Singh, V., Agarwal, S., MHD Flow and Heat Transfer for Maxwell Fluid over an Exponentially Stretching Sheet with Variable Thermal Conductivity in Porous Medium, Thermal Science, 18 (2014), pp. S599-S615
  23. Abdel-Rahman, G.M., Effects of Variable Viscosity and Thermal Conductivity on Unsteady MHD Flow of Non-Newtonian Fluid over a Stretching Porous Sheet, Thermal Science, 17 (2013), pp. 1035-1047
  24. Yacob, N.A. et al., Hydromagnetic Flow and Heat Transfer Adjacent to a Stretching Vertical Sheet in a Micropolar Fluid, Thermal Science, 17 (2013), pp. 525-532
  25. Sheikholeslami, M., et al., Effects of MHD on Cu-Water Nanofluid Flow and Heat Transfer by Means of CVFEM, Journal of Magnetism and Magnetic Materials, 349 (2014), pp. 188-200
  26. Zeeshan, A., et al., Magnetohydrodynamic Flow of Water/Ethylene Glycol Based Nanofluids with Natural Convection Through Porous Medium, The European Physical Journal Plus, 129 (2014), pp. 261
  27. Lin, Y., et al. MHD Thin Film and Heat Transfer of Power Law Fluids over an Unsteady Stretching Sheet with Variable Thermal Conductivity, Thermal Science (2015), online first
  28. Hayat, T., et al., An Analysis of Peristaltic Transport for Flow of a Jeffrey Fluid, Acta Mechanica, 193 (2007), 1-2, pp. 101-112
  29. Ramachandran, N., et al., Mixed Convection in Stagnation Flows Adjacent to Vertical Surfaces, ASME Journal of Heat Transfer, 110 (1988), 2, pp. 373-377
  30. Cebeci, T., Convective Heat Transfer, Horizon Publishing, California, USA, 2002.
  31. Cebeci, T., Bradshaw, P., Physical and Computational Aspects of Convective Heat Transfer, Springer, New York, USA, 1988.
  32. Mahapatra, T.R., Gupta, A.S., Heat Transfer in Stagnation-Point towards a Stretching Sheet, Heat Mass Transfer, 38 (2002), 6, pp. 517-521
  33. Nazar, R., et al., Unsteady Boundary Layer Flow in the Region of the Stagnation Point on a Stretching Sheet, International Journal of Engineering Science, 42 (2004), 11-12, pp. 1241-1253
  34. Reiner, M., The Deborah number, Physics Today, 17 (1964), 1, pp. 62
  35. Schlichting, H., Boundary Layer Theory, McGraw-Hill, New York, USA, 1968

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence