Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid

[摘要] Two-dimensional, steady, laminar and incompressible natural convective flow of a nanofluid over a connectively heated permeable upward facing radiating horizontal plate in porous medium is studied numerically. The present model incorporates Brownian motion andthermophoresis effects. The similarity transformations for the governing equations are developed by Lie group analysis. The transformed equations are solved numericallybyRunge-Kutta-Fehlberg fourth-fifth ordermethod with shooting technique. Effects of the governing parameterson the dimensionless velocity, temperature andnanoparticle volume fraction as well as on the dimensionless rate ofheat and mass transfer are presented graphically and the results are compared with the published data for special cases.Good agreement is found between numerical results of the present paper and published results. It is found that Lewis number, Brownian motion and convective heat transfer parameters increase the heat and mass transfer rates whilst thermophoresis decreases both heat and mass transfer rates.

[学科分类] 应用数学