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Three-dimensional rotating Darcy–Forchheimer flow with activation energy

  • Sadia Rashid
  • , Tasawar Hayat
  • , Sumaira Qayyum
  • , Muhammad Ayub
  • , Ahmed Alsaedi
  • Quaid-I-Azam University
  • King Abdulaziz University

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

Purpose: The purpose of this study is to study flow caused by rotating frame. Effects of Darcy–Forchheimer and porous medium are considered to study velocity field. Concentration field is discussed in presence of activation energy. Darcy–Forchheimer in a rotating frame is examined. Flow because of stretched sheet fills the porous space. Binary chemical reaction is entertained. Resulting system is numerically solved. The plots are arranged for rotational parameter, porosity parameter, coefficients of inertia, Prandtl number and Schmidt number. It is revealed that rotation on velocity has opposite effects when compared with temperature and concentration distributions. Skin friction coefficients and local Nusselt and Sherwood numbers are numerically discussed. Design/methodology/approach: Darcy–Forchheimer in a rotating frame is examined. Flow because of stretched sheet fills the porous space. Binary chemical reaction is entertained. Resulting system is numerically solved. The plots are arranged for rotational parameter, porosity parameter, coefficients of inertia, Prandtl number and Schmidt number. It is revealed that rotation on velocity has opposite effects when compared with temperature and concentration distributions. Skin friction coefficients and local Nusselt and Sherwood numbers are numerically discussed. Findings: The major findings here are as follows: an addition in porosity λ causes decay in velocity f′(η) while there is opposite behavior for temperature θ(η) and concentration ϕ(η) fields. θ and ϕ via β have similar results qualitatively. There is an opposite behavior of Pr on temperature and concentration. Inverse behavior of λ on ϕ and wall mass flux is noted. Concentration ϕ is decreasing function of reaction rate constant σ. Skin friction coefficient has similar qualitative results for λ and β. Temperature gradient −θ(0) is decreased by λ and β. Originality/value: Here, the authors are interested to investigate rotating flow in a porous space. Dissipation and radiation effects are neglected. Effects of activation energy are studied. This work is not done yet in literature.

Original languageEnglish
Pages (from-to)935-948
Number of pages14
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume29
Issue number3
DOIs
StatePublished - 22 Feb 2019
Externally publishedYes

Keywords

  • Activation energy
  • Darcy-Forchheimer flow
  • Rotating frame

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