Free Convection Boundary Layer Flow Past a Horizontal Flat Plate Embedded in a Porous Medium Filled With a Nanofluid

2011 ◽  
Vol 133 (9) ◽  
Author(s):  
W. A. Khan ◽  
I. Pop
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Brownian Motion ◽  
Free Convection ◽  
Flat Plate ◽  
Boundary Layer Flow ◽  
Convection Boundary Layer ◽  
Convection Boundary ◽  
Layer Flow ◽  
Free Convection Boundary Layer

A similarity solution is presented for the steady free convection boundary layer flow past a horizontal flat plate embedded in a porous medium filled with nanofluids. The model used for the nanofluid is the one which incorporates the effects of Brownian motion and thermophoresis. For the porous medium the Darcy-Boussinesq model is employed. This solution depends on a Lewis number Le, a buoyancy-ratio parameter Nr, a Brownian motion parameter Nb, and a thermophoresis parameter Nt. The effects of these parameters on the velocity, temperature and nanoparticle fraction profiles are discussed. The dependency of the local Nusselt and Sherwood numbers on these four parameters is also investigated.

scholarly journals Free convection boundary layer flow on a solid sphere in a nanofluid with viscous dissipation

2019 ◽  
Vol 15 (3) ◽  
pp. 381-388
Author(s):  
Muhammad Khairul Anuar Mohamed ◽  
Nor Aida Zuraimi Md Noar ◽  
Mohd Zuki Salleh ◽  
Anuar Ishak
Keyword(s):  
Boundary Layer ◽  
Brownian Motion ◽  
Free Convection ◽  
Boundary Layer Flow ◽  
Solid Sphere ◽  
Convection Boundary Layer ◽  
Convection Boundary ◽  
Layer Flow ◽  
Free Convection Boundary Layer ◽  
Brownian Motion Parameter

Present study considers the mathematical model of free convection boundary layer flow and heat transfer in a nanofluid over a solid sphere with viscous dissipation effect. The transformed partial differential equations are solved numerically using the Keller-box method. The numerical values for the reduced Nusselt number, reduced Sherwood number and the reduced local skin friction coefficient are obtained, as well as concentration profiles, temperature profiles and velocity profiles are illustrated graphically. Effects of the pertinent parameters, which are the Prandtl number, buoyancy ratio parameter, Brownian motion parameter, thermophoresis parameter, Lewis number and Eckert number are analyzed and discussed. It is found that the increase of Brownian motion parameter promoted the reduce of concentration boundary layer thickness while thermophoresis parameter did oppositely. It is worth mentioning that the results reported here are important for the researchers working in this area which can be used as a reference and comparison purposes in the future.

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