Numerical Analysis of Non-Newtonian Fluid in a Non-Darcy Porous Channel

Numerical Analysis of Non-Newtonian Fluid in a Non-Darcy Porous Channel

Funmilayo H. Oyelami* Moses S. Dada

Department of Mathematical and Physical sciences, Afe Babalola University, Ado Ekiti 360001, Nigeria

Department of Mathematics, University of Ilorin, Ilorin 240101, Nigeria

Corresponding Author Email: 
adefolajufunmilayo@gmail.com
Page: 
83-91
|
DOI: 
https://doi.org/10.18280/mmc_b.870204
Received: 
22 May 2018
|
Accepted: 
27 June 2018
|
Published: 
30 June 2018
| Citation

OPEN ACCESS

Abstract: 

In this work, non-Newtonian fluid properties in a non-Darcy porous channel, specifically Darcy-Forchheimer porous channel is investigated with focus on a numerical analysis of Eyring-Powell type of non-Newtonian fluid. The unsteady state problem is considered under the influence of thermal radiation and transversely applied magnetic field. The governing non-linear partial differential equations were non-dimensionalized and then solved using Crank-Nicolson concept. Significance of non-Newtonian fluid properties as well as other fluid parameters is considered on the velocity, temperature and concentration profiles with the aid of graphs.

Keywords: 

eyring-powell fluid, porous channel, darcy-forchheimer, crank-nicolson, unsteady

1. Introduction
2. Problem Formulation
3. Solution Method
4. Discussion of Results
5. Conclusion
Nomenclature
  References

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