THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Gabriella Bognár

SIMILARITY METHOD FOR BOUNDARY-LAYER FLOW OF A NON-NEWTONIAN VISCOUS FLUID AT A CONVECTIVELY HEATED SURFACE

ABSTRACT
The similarity method is presented for the determination of the velocity and the temperature distribution in the boundary-layer next to a horizontal moving surface heated convectively from below. The basic partial differential equations are transformed to a system of ordinary differential equations subjected to boundary conditions.
KEYWORDS
boundary layer flow, non-Newtonian fluid, heated surface, similarity solution, convective boundary condition
PAPER SUBMITTED: 2015-07-22
PAPER REVISED: 2016-08-26
PAPER ACCEPTED: 2016-08-26
PUBLISHED ONLINE: 2016-09-05
DOI REFERENCE: https://doi.org/10.2298/TSCI150722208B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 6, PAGES [2795 - 2802]
REFERENCES
  1. Ali, M.E., Heat transfer characteristics of a continuous stretching surface, Heat and Mass Transfer, 29 (1994), 4, pp. 227-234
  2. Altan, T.Oh S., Gegel, H., Metal Forming Fundamentals and Applications, American Society of Metals, Metals Park, 1979
  3. Aziz, A., A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition, Comm. Nonlinear Sci. Numer. Simulat., 14 (2009), 4, pp. 1064-1068
  4. Bognár, G., Analytic solutions to the boundary layer problem over a stretching wall, Computers and Mathematics with Applications, 61 (2011), 8, pp. 2256-2261
  5. Bognár, G., On similarity solutions to boundary layer problems with upstream moving wall in non- Newtonian power-law fluids, IMA J. Applied Mathematics, 77 (2012), 4, pp. 546-562
  6. Bognár, G., Hriczó, K., Similarity Solution to a thermal boundary layer model of a non-Newtonian fluid with a convective surface boundary condition, Acta Polytechnica Hungarica, 8 (2011), 6, pp. 131-140
  7. Chen, M., Blowup criterion for viscous, compressible micropolar fluids with vacuum, Nonlinear Anal. RWA, 13 (2012), 2, pp. 850-859
  8. Erickson, L.E., et al., Heat and mass transfer on a moving continuous flat plate with suction or injection, Ind. Eng. Chem. Fundam., 5 (1966), 1, pp. 19-25
  9. Fan, J.R., et al., Similarity solution of mixed convection over a horizontal moving plate, Heat and Mass Transfer, 32 (1997), 3, pp. 199-206
  10. Gupta, P.S., Gupta, A.S., Heat and mass transfer on a stretching sheet with suction or blowing, Can. J. Chem. Eng., 55 (1977), 6, pp. 744-746
  11. Grubka, L.J., Bobba, K.M., Heat transfer characteristics of a continuous stretching surface with variable temperature, J. Heat Transfer - Trans. ASME, 107 (1985), 1, pp. 248-250
  12. Hori, Y., Hydrodynamic Lubrication, Springer-Verlag, Tokyo, 2006
  13. Ishak, A., Similarity solution for flow and heat transfer over a permeable surface with convective boundary condition, Appl. Math. Comput., 217 (2010), 2, pp. 837-842
  14. Kolár, V., Similarity solution of axisymmetric non-Newtonian wall jets with swirl, Nonlinear Anal. RWA, 12 (2011), 6, pp. 3413-3420
  15. Magyari, E., The moving plate thermometer, Int. J. Therm. Sci., 47 (2008), 11, pp. 1436-1441
  16. Mang, T., Dresel, W., Lubricants and Lubrications, Wiley-VCH, Weinheim, 2001
  17. Qin, Y., et al., The Cauchy problem for a 1D compressible viscous micropolar fluid model: Analysis of the stabilization and the regularity, Nonlinear Anal. RWA, 13 (2012), 3, pp. 1010-1029
  18. Sakiadis, B.C., Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow, AIChE J., 7 (1961), 1, pp. 26-28
  19. Sakiadis, B.C., Boundary-layer behavior on continuous solid surfaces. II: The boundary layer on a continuous at surface, AIChE J., 7 (1961), 2, pp. 221-225
  20. Tadmor, Z., Klein, I., Engineering Principles of Plasticating Extrusion, Polymer Science and Engineering Series, Van Norstrand Reinhold, New York, 1970
  21. Tsou, F.K., et al., Flow and heat transfer in the boundary layer on a continuous moving surface, Int. J. Heat Mass Transfer, 10 (1967), 2, pp. 219-235
  22. Uddin, M.J., et al., New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method, Thermal Sciences, 2014 doi:10.2298/TSCI130115014U
  23. Vajravelu, K., Flow and heat transfer in a saturated porous medium over a stretching surface, Z. Angew. Math. Mech., 74 (1994), 12, pp. 605-614
PDF VERSION [DOWNLOAD]
Similarity method for boundary-layer flow of a non-Newtonian viscous fluid at a convectively heated surface

© 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