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Heat Transport Phenomena for the Darcy–Forchheimer Flow of Casson Fluid over Stretching Sheets with Electro-Osmosis Forces and Newtonian Heating

Author

Listed:
  • Xianqin Zhang

    (College of Management, Qingdao University of Technology, Linyi 273400, China)

  • Dezhi Yang

    (College of Science, Qingdao University of Technology, Linyi 273400, China)

  • Muhammad Israr Ur Rehman

    (School of Mathematics and Statistics, Central South University, Changsha 410083, China)

  • Aamir Hamid

    (Fluids Group, Faculty of Mechanical Engineering, Istanbul Technical University, Istanbul 34437, Turkey)

Abstract

In this study, an investigation has been carried out to analyze the impact of electro-osmotic effects on the Darcy–Forchheimer flow of Casson nanofluid past a stretching sheet. The energy equation was modelled with the inclusion of electro-osmotic effects with viscous and Joule dissipations. The governing system of partial differential equations were transformed by using the suitable similarity transformations to a system of ordinary differential equations and then numerically solved by using the Runge–Kutta–Fehlberg method with a shooting scheme. The effects of various parameters of interest on dimensionless velocity and temperature distributions, as well as skin friction and heat transfer coefficient, have been adequately delineated via graphs and tables. A comparison with previous published results was performed, and good agreement was found. The results suggested that the electric and Forchheimer parameters have the tendency to enhance the fluid velocity as well as momentum boundary layer thickness. Enhancements in temperature distribution were observed for growing values of Eckert number. It was also observed that higher values of electric field parameter diminished the wall shear stress and local Nusselt number.

Suggested Citation

  • Xianqin Zhang & Dezhi Yang & Muhammad Israr Ur Rehman & Aamir Hamid, 2021. "Heat Transport Phenomena for the Darcy–Forchheimer Flow of Casson Fluid over Stretching Sheets with Electro-Osmosis Forces and Newtonian Heating," Mathematics, MDPI, vol. 9(19), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2525-:d:651729
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    References listed on IDEAS

    as
    1. Syed Tauseef Mohyud-Din & Naveed Ahmed & Umar Khan & Asif Waheed & Saqib Hussain & Maslina Darus, 2016. "On Combined Effects of Heat Transfer and Chemical Reaction for the Flow through an Asymmetric Channel with Orthogonally Deformable Porous Walls," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, March.
    2. Hussain, Azad & Afzal, Sana & Rizwana, Rizwana & Malik, M.Y., 2020. "MHD stagnation point flow of a Casson fluid with variable viscosity flowing past an extending/shrinking sheet with slip effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
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