Analytical solution of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium

Ziabakhsh, Z.; Domairry, G.; Bararnia, H.; Babazadeh, H.

doi:10.1016/j.jtice.2009.04.011

Cited by 62 publications

(29 citation statements)

References 32 publications

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“…Flows over continuously moving surface are widely discussed by researchers after the pioneering work of Sakiadis (1961). He first time modelled the boundary layer equations for the flow over a continuous moving surface which has been widely discussed afterwards (Ziabakhsh et al 2010;Nadeem et al 2012Nadeem et al , 2013Saleh et al 2010). But many physical phenomenons involve the non-linear stretching for e.g.…”

Section: Introductionmentioning

confidence: 99%

Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Nadeem

Hussain

2016

JAFM

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In the present article Williamson nano fluid flow over a continuously moving surface is discussed when the surface is heated due to the presence of hot fluid under it. Governing equations have been developed and simplified using the suitable transformations. Mathematical analysis of various physical parameters is presented and the percentage heat transfer enhancement is discussed due to variation of these parameters. We employed Optimal homotopy analysis method to obtain the solution. It is presented that initial guess optimization will provide us one more degree of freedom to obtain the convergent and better solutions.

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Section: Introductionmentioning

confidence: 99%

Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Nadeem

Hussain

2016

JAFM

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“…Prasad and Vajravelu [30] examined the hydromagnetic laminar boundary layer flow and heat transfer in a power law fluid over a non-isothermal stretching sheet. There have also been several recent studies, Ziabakhsh et al [31] employed the homotopy analysis method (HAM) to compute an approximation to the solution for the problem of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium. Akyildiz and Siginer [32] presented an analytical solutions for the velocity and temperature fields in a viscous fluid flowing over a nonlinearly stretching sheet by the Galerkin Legendre spectral method.…”

Section: Introductionmentioning

confidence: 99%

Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet

Hamad

Ferdows

2012

Appl. Math. Mech.-Engl. Ed.

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The boundary-layer flow and heat transfer in a viscous fluid containing metallic nanoparticles over a nonlinear stretching sheet are analyzed. The stretching velocity is assumed to vary as a power function of the distance from the origin. The governing partial differential equation and auxiliary conditions are reduced to coupled nonlinear ordinary differential equations with the appropriate corresponding auxiliary conditions. The resulting nonlinear ordinary differential equations (ODEs) are solved numerically. The effects of various relevant parameters, namely, the Eckert number Ec, the solid volume fraction of the nanoparticles φ, and the nonlinear stretching parameter n are discussed. The comparison with published results is also presented. Different types of nanoparticles are studied. It is shown that the behavior of the fluid flow changes with the change of the nanoparticles type.

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“…Effects of homogeneous and heterogeneous reactions in flow of nanofluids over a nonlinear stretching surface with variable surface thickness was reported by and observed that the homogenous and heterogeneous parameters have opposite behaviors for concentration profile. Ziabakhsh et al (2010) studied the problem of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium. Chambre and Acrivos (1956) studied an isothermal chemical reaction on a catalytic in a laminar boundary layer flow.…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Effects of Homogeneous-Heterogeneous Chemical Reaction and Slip Velocity on MHD Stagnation Flow of a Micropolar Fluid Over a Permeable Stretching/Shrinking Surface Embedded in a Porous Medium

Reddy¹,

Suneetha²

2017

Frontiers in Heat and Mass Transfer

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We report on a mathematical model for analyzing the effects of homogeneous-heterogeneous chemical reaction and slip velocity on the MHD stagnation point flow of electrically conducting micropolar fluid over a stretching/shrinking surface embedded in a porous medium. The governing boundary layer coupled partial differential equations are transformed into a system of non-linear ordinary differential equations, which are solved numerically using the MATLAB bvp4c solver. The effects of physical and fluid parameters such as the stretching parameter, micropolar parameter, permeability parameter, strength of homogeneous and heterogeneous reaction parameter on the velocity and concentration are analyzed, and these results are presented through graphs. The solute concentration at the surface is found to decrease with the strength of the homogeneous reaction, and to increase with heterogeneous reactions, the permeability parameter and stretching or shrinking parameters. Comparison between the previously published results and the present numerical results for various special cases has been done and are found to be an excellent agreement.

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Analytical solution of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medium

Cited by 62 publications

References 32 publications

Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Analysis of MHD Williamson Nano Fluid Flow over a Heated Surface

Similarity solutions to viscous flow and heat transfer of nanofluid over nonlinearly stretching sheet

Effects of Homogeneous-Heterogeneous Chemical Reaction and Slip Velocity on MHD Stagnation Flow of a Micropolar Fluid Over a Permeable Stretching/Shrinking Surface Embedded in a Porous Medium

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