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Physical aspects of Darcy–Forchheimer flow and dissipative heat transfer of Reiner–Philippoff fluid

  • M. Gnaneswara Reddy
  • M. V. V. N. L. Sudharani
  • K. Ganesh KumarEmail author
  • Ali. J. Chamkha
  • G. Lorenzini
Article
  • 15 Downloads

Abstract

The main focus of the present research work is to elaborate the Reiner–Philippoff fluid flow over a stretching sheet along with thermal radiation effect. A Darcy–Forchheimer medium was imposed and a linear stretching surface was used to generate the flow. Application of appropriate transformation yields nonlinear ordinary differential equation through nonlinear Navier–Stokes equations and solved by Runge–Kutta–Fehlberg shooting technique. Importance of influential variables such as velocity and temperature was elaborated graphically. It is envisaging that the boost up values of γ declines the both velocity and temperature profiles.

Keywords

Reiner–Philippoff fluid Darcy–Forchheimer Thermal radiation Stretching sheet 

List of symbols

a

Constant

\(u_{\text{w}} \left( x \right) = ax^{1/3}\)

Stretched velocity

\(K^{*}\)

Permeability of porous medium

\(F = \frac{{C_{\text{b}} }}{{K^{*1/2} }}\)

Non-uniform inertia coefficient of porous medium

Cb

Drag coefficient

Fr

Forchheimer number

Kp

Porosity parameter

T

Fluid temperature

Tw

Wall temperature

T

Temperature outside the surface

Pr

Prandtl number

qw

Heat flux from the sheet

k

Thermal conductivity

Nux

Nusselt number

\(Re_{\text{x}} = \frac{{u_{\text{w}} x}}{\nu }\)

Reynolds number

Greek letter

λ

Reiner–Philippoff fluid parameter

γ

Bingham number

σ

Electrical conductivity,

ρ

Fluid density

α

Thermal diffusivity

τw

Wall shear stress

Notes

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.Department of MathematicsSJM Institute of TechnologyChitredurgaIndia
  2. 2.Department of MathematicsAcharya Nagarjuna University CampusOngoleIndia
  3. 3.Mechanical Engineering Department, Prince Mohammad Endowment for Nanoscience and TechnologyPrince Mohammad Bin Fahd UniversityAl-KhobarSaudi Arabia
  4. 4.Department of Engineering and ArchitectureUniversity of ParmaParmaItaly

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