ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION

Abstract

The problem of steady, laminar, thermal Marangoni convection flow of non-Newtonian power law fluid along a horizontal surface with variable surface temperature is studied. The partial differential equations are transformed into ordinary differential equations by using a suitable similarity transformation and analytical approximate solutions are obtained by an efficient transformation, asymptotic expansion and Padé approximants technique. The effects of power law index and Marangoni number on velocity and temperature profiles are examined and discussed.

Keywords

Dates

  • Submission Date2010-07-13
  • Revision Date2010-09-17
  • Acceptance Date2010-11-11

DOI Reference

10.2298/TSCI11S1045Z

References

  1. Christopher, D. M., Wang, B. X., Prandtl Number Effects for Marangoni Convection over a Flat Surface, Int. J. Therm. Sci., 40 (2001), 6, pp. 564-570
  2. Zheng, L. C., et al., An Approximately Analytical Solution for the Marangoni Convection in an In-Ga-Sb System, Chin. Phys. Lett., 21 (2004), 10, pp. 1983-1985
  3. Naimi, M., Hasnaoui, M., Platten, J. K., Marangoni Convection of Non-Newtonian Power Law Fluids in a Shallow Rectangular Cavity, Engineering Computations, 17 (2000), 6-7, pp. 638-668
  4. Chen, C. H., Marangoni Effects on Forced Convection of Power-Law Liquids in a Thin Film over a Stretching Surface, Phys. Lett. A, 370 (2007), 1, pp. 51-57
  5. Zheng, L. C., Zhang, X. X., Skin Friction and Heat Transfer in Power Law Fluid Laminar Boundary Layer along a Moving Surface, Int. J. Heat Mass Transfer., 45 (2002), 13, pp. 2667-2672
  6. Zhang, Y., Zheng, L. C., Zhang, X. X., Approximate Analytical Solutions for Boundary Layer Equations of Marangoni Convection Driven by a Power-Law Temperature Gradient, Proceedings, 3rd International Conference on Mechanical Engineering and Mechanics, Beijing, China, 2009, pp. 127-132
Volume 15, Issue 11, Pages45 -52