Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel

Peristaltic transport of Carreau coupled stress nanofluid

Authors

  • Yasmeen Mostafa Mohamed Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
  • Nabil Tafik El-Dabe Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
  • Mohamed Yahya Abou-Zeid Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
  • Mahmoud Elhassan Oauf Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
  • Doaa Roshhdy Mostapha Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

DOI:

https://doi.org/10.37934/arfmts.98.1.117

Keywords:

Peristaltic flow, Cattaneo-Christov heat flux, Carreau fluid model, nanofluid, Couple stress, heat and mass transfer

Abstract

The current analytical study is concerned with studying the impact of Cattaneo-Christov heat flux of an incompressible flow which obeys Carreau nanofluid inside a symmetric channel in the existence of the porous medium. The impacts of couple stress, heat generation absorption, joule heating, couple stress viscous dissipation with Soret as well as Dufour numbers are all presumed. Long wavelength and law Reynold’s number approximations are utilized for solving the governing system of equations. Furthermore, the traditional perturbation method together with the homotopy perturbation technique (HPM) are applied to obtain the resultant solutions of these equations. The different physical parameters on velocity, temperature and nanoparticles concentration distributions are illustrated through a set of graphs. It is found that the elevate in the slip velocity parameter dwindle the velocity. Meanwhile, the rise in the value of thermal relaxation time parameter led to decay the temperature of the fluid. Over and above, enhancing the nano Biot number value caused an enrichment in the concentration of nanofluid.

Author Biographies

Yasmeen Mostafa Mohamed, Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

yasmeenmostafa@edu.asu.edu.eg

Nabil Tafik El-Dabe, Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

eldabe_math@yahoo.com

Mohamed Yahya Abou-Zeid, Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

master_math2003@yahoo.com

Mahmoud Elhassan Oauf, Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

mouaf68@gmail.com

Doaa Roshhdy Mostapha, Department of Math., Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

dodyyasser017@yahoo.com

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Published

2022-07-19

How to Cite

Yasmeen Mostafa Mohamed, Nabil Tafik El-Dabe, Mohamed Yahya Abou-Zeid, Mahmoud Elhassan Oauf, & Doaa Roshhdy Mostapha. (2022). Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel: Peristaltic transport of Carreau coupled stress nanofluid . Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 98(1), 1–17. https://doi.org/10.37934/arfmts.98.1.117

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