Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder

doi:10.1007/s11705-011-1101-4

Front Chem Sci Eng

2011, Vol. 5

Issue (3) : 385-391 https://doi.org/10.1007/s11705-011-1101-4

RESEARCH ARTICLE

Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder

Swati Mukhopadhyay(

)

Department of Mathematics, the University of Burdwan, Burdwan-713104, India

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Abstract

This paper presents the distribution of a solute undergoing a first order chemical reaction in an axisymmetric laminar boundary layer flow along a stretching cylinder. Velocity slip condition at the boundary is used instead of no-slip condition. Similarity transformations are used to convert the partial differential equations corresponding to momentum and concentration into highly nonlinear ordinary differential equations. Numerical solutions of these equations are obtained by the shooting method. The velocity decreases with increasing slip parameter. The skin friction as well as the mass transfer rate at the surface is larger for a cylinder than for a flat plate.

Keywords boundary layer stretching cylinder partial slip mass transfer similarity solution

Corresponding Author(s): Mukhopadhyay Swati,Email:swati_bumath@yahoo.co.in

Issue Date: 05 September 2011

Cite this article:

Swati Mukhopadhyay. Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder[J]. Front Chem Sci Eng, 2011, 5(3): 385-391.

URL:

https://academic.hep.com.cn/fcse/EN/10.1007/s11705-011-1101-4
https://academic.hep.com.cn/fcse/EN/Y2011/V5/I3/385

Fig.1 Variation of velocity for several values of the curvature parameter (a) in the absence of slip (Ishak and Nazar []); (b) in the presence of slip

Fig.2 Concentration profiles for several values of the curvature parameter for a stretching cylinder (a) in the absence of slip; (b) in the presence of slip

Fig.3 (a) Variation of velocity for several values of the slip parameter for a flat plate with = 0; (b) Variation of shear stress for several values of the slip parameter for a flat plate; (c) Variation of velocity for several values of the slip parameter for a stretching cylinder

Fig.4 Concentration profiles for several values of the slip parameter for a flat plate

Fig.5 (a) Concentration profiles for several values of the power law exponent for a flat plate; (b) Variation of the concentration gradient for several values of the power law exponent for a flat plate; (c) Concentration profiles for several values of the power law exponent for a stretching cylinder; (d) Variation of the concentration gradient for several values of the power law exponent for a stretching cylinder

Fig.6 Concentration profiles for several values of the Schmidt number Sc for (a) a flat plate; (b) a stretching cylinder

Fig.7 Concentration profiles for several values of the reaction rate parameter for a flat plate

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