THERMAL SCIENCE

International Scientific Journal

Yan Zhang

,

Liancun Zheng

,

Xiaojing Wang

,

Guhua Song

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
power law fluid, Marangoni convection, similarity transformation, Padé approximants
PAPER SUBMITTED: 2010-07-13
PAPER REVISED: 2010-09-17
PAPER ACCEPTED: 2010-11-11
DOI REFERENCE: https://doi.org/10.2298/TSCI11S1045Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 1, PAGES [S45 - S52]
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Analysis of Marangoni convection of non-Newtonian power law fluids with linear temperature distribution

© 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