African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Heat absorption and chemical reaction effects on peristaltic motion of micropolar fluid through a porous medium in the presence of magnetic field

Nabil T. Eldabe
  • Nabil T. Eldabe
  • Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt.
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Kawther A. Kamel
  • Kawther A. Kamel
  • Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt
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Galila M. Abd-Allah
  • Galila M. Abd-Allah
  • Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt
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Shaimaa F. Ramadan
  • Shaimaa F. Ramadan
  • Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt
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  •  Accepted: 14 May 2013
  •  Published: 31 May 2013

Abstract

 

In this paper, a study of the peristaltic motion of incompressible micropolar fluid through a porous medium in a two-dimensional channel under the effects of heat absorption and chemical reaction in the presence of magnetic field was studied. This phenomenon is modulated mathematically by a system of partial differential equations which govern the motion of the fluid. This system of equations is solved in dimensionless form under the assumption of long wave length and low Reynolds number. The expressions of the stream function, velocity, micro rotation velocity, temperature and concentration are obtained as functions of the physical parameters of the problem. The results have been discussed graphically to observe the effects of heat absorption, chemical reaction and magnetic field in the presence of micro polarity effects through a set of figures.

 

Key words: Heat absorption, chemical reaction, peristaltic motion, micropolar fluid, porous medium.