Natural convective flow of a chemically reacting fluid in an annulus

2019 ◽  
Vol 48 (4) ◽  
pp. 1345-1369 ◽  
Author(s):  
Nepal C. Roy ◽  
Anwar Hossain ◽  
Rama S. R. Gorla
Keyword(s):  
Convective Flow ◽  
Chemically Reacting

scholarly journals Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-21 ◽  
Author(s):  
M. M. Rashidi ◽  
E. Momoniat ◽  
M. Ferdows ◽  
A. Basiriparsa
Keyword(s):  
Lie Group ◽  
Convective Flow ◽  
Volume Fraction ◽  
Group Analysis ◽  
Numerical Results ◽  
Thermal Slip ◽  
Nanoparticle Volume Fraction ◽  
Horizontal Plate ◽  
Free Convective Flow ◽  
Chemically Reacting

The optimal homotopy analysis method (OHAM) is employed to investigate the steady laminar incompressible free convective flow of a nanofluid past a chemically reacting upward facing horizontal plate in a porous medium taking into account heat generation/absorption and the thermal slip boundary condition. Using similarity transformations developed by Lie group analysis, the continuity, momentum, energy, and nanoparticle volume fraction equations are transformed into a set of coupled similarity equations. The OHAM solutions are obtained and verified by numerical results using a Runge-Kutta-Fehlberg fourth-fifth order method. The effect of the emerging flow controlling parameters on the dimensionless velocity, temperature, and nanoparticle volume fraction have been presented graphically and discussed. Good agreement is found between analytical and numerical results of the present paper with published results. This close agreement supports our analysis and the accuracy of the numerical computations. This paper also includes a representative set of numerical results for reduced Nusselt and Sherwood numbers in a table for various values of the parameters. It is concluded that the reduced Nusselt number increases with the Lewis number and reaction parameter whist it decreases with the order of the chemical reaction, thermal slip, and generation parameters.

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