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

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 transform...

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Main Authors: Yan Zhang, Liancun Zheng, Xiaojing Wang, Guhua Song
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2011-01-01
Series:Thermal Science
Subjects:
Online Access:http://thermalscience.vinca.rs/2011/5/7
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spelling doaj-0604bc6bef534afbabbe124bcc3013622021-01-02T01:43:37ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362011-01-011554552TSCI11S1045ZANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTIONYan ZhangLiancun ZhengXiaojing WangGuhua SongThe 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.http://thermalscience.vinca.rs/2011/5/7power law fluidMarangoni convectionsimilarity transformationPadé approximants
collection DOAJ
language English
format Article
sources DOAJ
author Yan Zhang
Liancun Zheng
Xiaojing Wang
Guhua Song
spellingShingle Yan Zhang
Liancun Zheng
Xiaojing Wang
Guhua Song
ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION
Thermal Science
power law fluid
Marangoni convection
similarity transformation
Padé approximants
author_facet Yan Zhang
Liancun Zheng
Xiaojing Wang
Guhua Song
author_sort Yan Zhang
title ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION
title_short ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION
title_full ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION
title_fullStr ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION
title_full_unstemmed ANALYSIS OF MARANGONI CONVECTION OF NON-NEWTONIAN POWER LAW FLUIDS WITH LINEAR TEMPERATURE DISTRIBUTION
title_sort analysis of marangoni convection of non-newtonian power law fluids with linear temperature distribution
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
publishDate 2011-01-01
description 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.
topic power law fluid
Marangoni convection
similarity transformation
Padé approximants
url http://thermalscience.vinca.rs/2011/5/7
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AT liancunzheng analysisofmarangoniconvectionofnonnewtonianpowerlawfluidswithlineartemperaturedistribution
AT xiaojingwang analysisofmarangoniconvectionofnonnewtonianpowerlawfluidswithlineartemperaturedistribution
AT guhuasong analysisofmarangoniconvectionofnonnewtonianpowerlawfluidswithlineartemperaturedistribution
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