### African Journal ofMathematics 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

## Peristaltic transport of micropolar fluid through porous medium in a symmetric channel with heat and mass transfer in the presence of generation and radiation

##### Nabil T. M. Eldabe
• Nabil T. M. Eldabe
• Department of Mathematics, Faculty of Education, Ain-Shams University, Cairo, Egypt.
##### Afaf S. Zaghrout
• Afaf S. Zaghrout
• Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
##### Hameda M. Shawky
• Hameda M. Shawky
• Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt
• Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Cairo, Egypt

•  Accepted: 14 May 2013
•  Published: 30 June 2013

Abstract

The effect of heat generation and radiation on the peristaltic motion of micropolar fluid with heat and mass transfer through porous medium in a symmetric channel was investigated. The equations of motion for micropolar fluids were introduced as well as the equations of energy and concentration. The system of these equations written in two dimensions and then transformed using the transformations between a laboratory and fixed frames. The yield equations were solved analytically with the appropriate boundary conditions under the approximation of low Reynolds number and long wavelength. The longitudinal velocity, the microrotation velocity, the temperature and the concentration are plotted and shown graphically and discussed for different physical parameters of the problem.

Key words: Peristaltic transport, micropolar fluid, porous medium, heat and mass transfer, heat generation, thermal radiation, thermal diffusion.