Scaling transformation for the effects of chemical reaction on free convective heat and mass transfer in the presence of variable stream conditions

Muhaimin, Ramasamy Kandasamy, Ishak Hashim

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Natural convective boundary layer flow and heat and mass transfer of a fluid with temperature-dependent fluid viscosity, chemical reaction and thermal radiation over a vertical stretching surface in the presence of suction is investigated by scaling transformation analysis. Fluid viscosity is assumed to vary as a linear function of temperature. The symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie-group transformations viz. scaling group of transformations. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. Effects of temperature-dependent fluid viscosity, chemical reaction and thermal radiation on the dimensionless velocity, temperature and concentration profiles are shown graphically. Comparison with previously published work is performed and excellent agreement between the results is obtained. The conclusion is drawn that the flow field and temperature and concentration profiles are significantly influenced by these parameters.

Original languageEnglish
Pages (from-to)1320-1328
Number of pages9
JournalChemical Engineering Research and Design
Volume88
Issue number10
DOIs
Publication statusPublished - Oct 2010

Fingerprint

Chemical reactions
Mass transfer
Heat transfer
Fluids
Heat radiation
Viscosity
Temperature
Lie groups
Boundary layer flow
Boundary value problems
Stretching
Flow fields

Keywords

  • Chemical reaction
  • Free convective flow
  • Scaling transformation
  • Temperature-dependent fluid viscosity
  • Thermal radiation

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Chemistry(all)

Cite this

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abstract = "Natural convective boundary layer flow and heat and mass transfer of a fluid with temperature-dependent fluid viscosity, chemical reaction and thermal radiation over a vertical stretching surface in the presence of suction is investigated by scaling transformation analysis. Fluid viscosity is assumed to vary as a linear function of temperature. The symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie-group transformations viz. scaling group of transformations. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. Effects of temperature-dependent fluid viscosity, chemical reaction and thermal radiation on the dimensionless velocity, temperature and concentration profiles are shown graphically. Comparison with previously published work is performed and excellent agreement between the results is obtained. The conclusion is drawn that the flow field and temperature and concentration profiles are significantly influenced by these parameters.",
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AU - Muhaimin,

AU - Kandasamy, Ramasamy

AU - Hashim, Ishak

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N2 - Natural convective boundary layer flow and heat and mass transfer of a fluid with temperature-dependent fluid viscosity, chemical reaction and thermal radiation over a vertical stretching surface in the presence of suction is investigated by scaling transformation analysis. Fluid viscosity is assumed to vary as a linear function of temperature. The symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie-group transformations viz. scaling group of transformations. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. Effects of temperature-dependent fluid viscosity, chemical reaction and thermal radiation on the dimensionless velocity, temperature and concentration profiles are shown graphically. Comparison with previously published work is performed and excellent agreement between the results is obtained. The conclusion is drawn that the flow field and temperature and concentration profiles are significantly influenced by these parameters.

AB - Natural convective boundary layer flow and heat and mass transfer of a fluid with temperature-dependent fluid viscosity, chemical reaction and thermal radiation over a vertical stretching surface in the presence of suction is investigated by scaling transformation analysis. Fluid viscosity is assumed to vary as a linear function of temperature. The symmetry groups admitted by the corresponding boundary value problem are obtained by using a special form of Lie-group transformations viz. scaling group of transformations. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. Effects of temperature-dependent fluid viscosity, chemical reaction and thermal radiation on the dimensionless velocity, temperature and concentration profiles are shown graphically. Comparison with previously published work is performed and excellent agreement between the results is obtained. The conclusion is drawn that the flow field and temperature and concentration profiles are significantly influenced by these parameters.

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