Peristaltic Motion of Eyring-Powell Nano Fluid with Couple Stresses and Heat and Mass Transfer Through a Porous Media Under the Effect of Magnetic Field Inside Asymmetric Vertical Channel

Authors

  • Nabil T. Eldabe Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt
  • Kawther A. Kamel Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt
  • Shaimaa F. Ramadan Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt
  • Rabab Ahmed Saad Department of Mathematics, Faculty of Science (Girls), Al-Azhar University, Nasr-City, Cairo, Egypt

Keywords:

peristaltic flow, heat absorption, couple stress fluid, porous medium, nanofluid, concentration, Reynolds number

Abstract

A Numerical study of peristaltic transport of heat and mass transfer for a couple stresses non-Newtonian nano fluid through porous media inside asymmetric channel was investigated. The system is stressed by an external uniform magnetic field. This model is solved numerically subjected to an approbate boundary conditions using a Rung-Kutta-Merson method under assumption of the long wave length and low range of Reynolds number. The velocity, temperature and concentration of nanoparticles are obtained as a function of the physical parameters of the problem. The effects of these parameters on these solutions are discussed numerically and illustrated graphically through some graphs It is clear that the effects of the physical parameters of the problem on these solutions play an important rule to control the obtained solutions. The velocity profile decreases when Hartmann number increasing. This seems realistic, because the magnetic field acts in the transverse direction to the flow and magnetic force resists the flow, The velocity increasing when the fluid material parameter increasing because fluid becomes less viscous, The variation of temperature increasing with increasing values of Brownain motion parameter and porosity parameter, The variation of Concentration decreasing with increasing of thermophoresis parameter and Radiation parameter inside the used channel.

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Published

2020-12-31

How to Cite

Eldabe, N. T. ., A. Kamel, K. ., F. Ramadan, S. ., & Ahmed Saad, R. . (2020). Peristaltic Motion of Eyring-Powell Nano Fluid with Couple Stresses and Heat and Mass Transfer Through a Porous Media Under the Effect of Magnetic Field Inside Asymmetric Vertical Channel. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 68(2), 58–71. Retrieved from https://akademiabaru.com/submit/index.php/arfmts/article/view/2872

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