Group analysis and numerical solution of slip flow of a nanofluid in porous media with heat transfer
by Mohammed Jashim Uddin; Mohammad Ferdows; Mohammad Mehdi Rashidi; Amir Basiri Parsa
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 16, No. 3, 2016

Abstract: The steady laminar viscous incompressible free convective boundary layer flow of a nanofluid past a chemically reacting horizontal plate situated in porous medium taking into account heat generation/absorption and the thermal slip boundary condition is studied numerically. Similarity transformations are generated by Lie group analysis. Using the similarity transformations, the transport equations are reduced to a branch of coupled similarity equations which are solved by Runge-Kutta-Fehlberg fourth-fifth order numerical method. Our analysis reveals that true similarity solution will exist provided thermal slip factor is inversely proportional to two third power of the axial distance. Effect of the governing parameters on the dimensionless velocity, temperature, nanoparticle volume fraction has been presented. Excellent agreement between our results and published is obtained. A sample of numerical results for the reduced Nusselt number and the Sherwood number is provided in a table for various values of the parameters. The reduced Nusselt number is increased with the Lewis number and reaction parameter whilst it is decreased with the order of chemical reaction, thermal slip and generation parameters. Further, the reduced Sherwood number is enhanced with the Lewis number, generation and reaction parameters whilst it is suppressed with thermal slip and order of chemical reaction parameters.

Online publication date: Sat, 30-Apr-2016

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the Progress in Computational Fluid Dynamics, An International Journal (PCFD):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com