Numerical analysis for Darcy-Forchheimer flow in presence of homogeneous-heterogeneous reactions

A mathematical study is presented to investigate the influences of homogeneous and heterogeneous reactions in local similar flow caused by stretching sheet with a non-linear velocity and variable thickness. Porous medium effects are characterized by using Darcy-Forchheimer porous-media. A simple iso...

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Bibliographic Details
Published in:Results in physics 2017, Vol.7, p.2644-2650
Main Authors: Khan, Muhammad Ijaz, Hayat, Tasawar, Alsaedi, Ahmed
Format: Article
Language:English
Subjects:
Homogeneous heat reaction with stoichiometric coefficient
Homogeneous-heterogeneous reactions
Non Darcy porous medium
Runge-Kutta-Fehlberg method
Variable sheet thickness
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Summary:A mathematical study is presented to investigate the influences of homogeneous and heterogeneous reactions in local similar flow caused by stretching sheet with a non-linear velocity and variable thickness. Porous medium effects are characterized by using Darcy-Forchheimer porous-media. A simple isothermal model of homogeneous-heterogeneous reactions is used. The multiphysical boundary value problem is dictated by ten thermophysical parameters: ratio of mass diffusion coefficients, Prandtl number, local inertia coefficient parameter, inverse Darcy number, shape parameter, surface thickness parameter, Hartman number, Homogeneous heat reaction, strength of homogeneous-heterogeneous reactions and Schmidt number. Resulting systems are computed by Runge-Kutta-Fehlberg method. Different shapes of velocity are noticed for n>1 and n
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2017.07.030