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Frontiers of Chemical Science and Engineering

ISSN 2095-0179

ISSN 2095-0187(Online)

CN 11-5981/TQ

邮发代号 80-969

2019 Impact Factor: 3.552

Frontiers of Chemical Science and Engineering  2011, Vol. 5 Issue (3): 385-391   https://doi.org/10.1007/s11705-011-1101-4
  RESEARCH ARTICLE 本期目录
Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder
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.

Key wordsboundary layer    stretching cylinder    partial slip    mass transfer    similarity solution
收稿日期: 2011-01-10      出版日期: 2011-09-05
Corresponding Author(s): Mukhopadhyay Swati,Email:swati_bumath@yahoo.co.in   
 引用本文:   
. Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder[J]. Frontiers of Chemical Science and Engineering, 2011, 5(3): 385-391.
Swati Mukhopadhyay. Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder. Front Chem Sci Eng, 2011, 5(3): 385-391.
 链接本文:  
https://academic.hep.com.cn/fcse/CN/10.1007/s11705-011-1101-4
https://academic.hep.com.cn/fcse/CN/Y2011/V5/I3/385
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1 Chambré P L, Young J D. On diffusion of a chemically reactive species in a laminar boundary layer flow. Physics of Fluids , 1958, 1(1): 48–54
2 Andersson H I, Hansen O R, Holmedal B. Diffusion of a chemically reactive species from a stretching sheet. International Journal of Heat and Mass Transfer , 1994, 37(4): 659–664
doi: 10.1016/0017-9310(94)90137-6
3 Takhar H S, Chamkha A J, Nath G. Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species. International Journal of Engineering Science , 2000, 38(12): 1303–1314
doi: 10.1016/S0020-7225(99)00079-8
4 Afify A A. MHD free convective flow and mass transfer over a stretching sheet with chemical reaction. Heat and Mass Transfer , 2004, 40(6-7): 495–500
doi: 10.1007/s00231-003-0486-0
5 Liu I C. A note on heat and mass transfer for a hydromagnetic flow over a stretching sheet. International Communications in Heat and Mass Transfer , 2005, 32(8): 1075–1084
doi: 10.1016/j.icheatmasstransfer.2005.02.003
6 Akyildiz F T, Bellout H, Vajravelu K. Diffusion of chemically reactive species in a porous medium over a stretching sheet. Journal of Mathematical Analysis and Applications , 2006, 320(1): 322–339
doi: 10.1016/j.jmaa.2005.06.095
7 Cortell R. MHD flow and mass transfer of an electrically conducting fluid of second grade in a porous medium over a stretching sheet with chemically reactive species. Chemical Engineering and Processing , 2007, 46(8): 721–728
doi: 10.1016/j.cep.2006.09.008
8 Kandasamy R, Ismoen M, Saim H B. Lie group analysis for the effects of temperature-dependent fluid viscosity and chemical reaction on MHD free convective heat and mass transfer with variable stream conditions. Nuclear Engineering and Design , 2010, 240(1): 39–46
doi: 10.1016/j.nucengdes.2009.08.012
9 Lin H T, Shih Y P. Laminar boundary layer heat transfer along static and moving cylinders. European Journal of Scientific Research , 1980, 3(1): 73–79
10 Lin H T, Shi Y P. Buoyancy effects on the laminar boundary layer heat transfer along vertically moving cylinders. European Journal of Scientific Research , 1981, 4(1): 47–51
11 Ishak A, Nazar R. Laminar boundary layer flow along a stretching cylinder. European Journal of Scientific Research , 2009, 36(1): 22–29
12 Grubka L G, Bobba K M. Heat transfer characteristics of a continuous stretching surface with variable temperature. Journal of Heat Transfer , 1985, 107(1): 248–250
doi: 10.1115/1.3247387
13 Ali M E. Heat transfer characteristics of a continuous stretching surface. Heat and Mass Transfer , 1994, 29(4): 227–234
14 Yoshimura A, Prudhomme R K. Wall slip corrections for Couette and parallel disc viscometers. Journal of Rheology (New York, N.Y.) , 1988, 32(1): 53–67
doi: 10.1122/1.549963
15 Wang C Y. Flow due to a stretching boundary with partial slip—an exact solution of the Navier-Stokes equations. Chemical Engineering Science , 2002, 57(17): 3745–3747
doi: 10.1016/S0009-2509(02)00267-1
16 Andersson H I. Slip flow past a stretching surface. Acta Mechanica , 2002, 158(1-2): 121–125
doi: 10.1007/BF01463174
17 Ariel P D, Hayat T, Asghar S. The flow of an elastico-viscous fluid past a stretching sheet with partial slip. Acta Mechanica , 2006, 187(1-4): 29–35
doi: 10.1007/s00707-006-0370-3
18 Ariel P D. Two dimensional stagnation point flow of an elastico-viscous fluid with partial slip. Zeitschrift für Angewandte Mathematik und Mechanik , 2008, 88(4): 320–324
doi: 10.1002/zamm.200700041
19 Abbas Z, Wang Y, Hayat T, Oberlack M. Slip effects and heat transfer analysis in a viscous fluid over an oscillatory stretching surface. International Journal for Numerical Methods in Fluids , 2009, 59(4): 443–458
doi: 10.1002/fld.1825
20 Crane L J. Flow past a stretching plate. Zeitschrift für Angewandte Mathematik und Physik , 1970, 21(4): 645–647
doi: 10.1007/BF01587695
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