Unsteady MHD Boundary Layer Flow with Diffusion and First-Order Chemical Reaction over a Permeable Stretching Sheet with Suction or Blowing

被引:43
作者
Bhattacharyya, Krishnendu [1 ]
Mukhopadhyay, Swati [1 ]
Layek, G. C. [1 ]
机构
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
关键词
Chemical reaction; Diffusion; MHD; Stretching sheet; Suction or blowing; Unsteady boundary layer; Variable wall concentration; STAGNATION-POINT FLOW; ELECTRICALLY CONDUCTING FLUID; HEAT-TRANSFER; MASS-TRANSFER; POROUS-MEDIUM; VISCOELASTIC FLUID; SHRINKING SHEET; HYDROMAGNETIC FLOW; NATURAL-CONVECTION; MAGNETIC-FIELD;
D O I
10.1080/00986445.2012.712577
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
In this study, unsteady MHD boundary layer flow with diffusion of chemically reactive species undergoing first-order chemical reaction over a permeable stretching sheet with suction or blowing and also with power-law variation in wall concentration is investigated. Using similarity transformation, the governing partial differential equations are converted into nonlinear self-similar ordinary differential equations. The transformed equations are then solved by the finite difference method using the quasi-linearization technique. Due to the increase in the unsteadiness parameter, the velocity initially decreases, but after a certain point it increases. A similar effect is also observed in case of concentration distribution. The increase in magnetic parameter causes a decrease in velocity and an increase in concentration. For increasing strength of applied suction both momentum and concentration boundary layer thicknesses decrease. On the other hand, applied blowing has reverse effects. Moreover, the mass transfer from the sheet is enhanced with increasing values of Schmidt number, reaction rate parameter, and also power-law exponent (related to wall concentration distribution). For high negative values of the power-law exponent, mass absorption at the sheet occurs. Moreover, due to increase of unsteadiness, this mass absorption is prevented.
引用
收藏
页码:379 / 397
页数:19
相关论文
共 58 条
[1]   HEAT TRANSFER DUE TO MHD SLIP FLOW OF A SECOND-GRADE LIQUID OVER A STRETCHING SHEET THROUGH A POROUS MEDIUM WITH NONUNIFORM HEAT SOURCE/SINK [J].
Abel, M. Subhas ;
Mahesha, N. ;
Malipatil, Sharanagouda B. .
CHEMICAL ENGINEERING COMMUNICATIONS, 2011, 198 (02) :191-213
[2]   HYDROMAGNETIC BOUNDARY LAYER FLOW AND HEAT TRANSFER IN VISCOELASTIC FLUID OVER A CONTINUOUSLY MOVING PERMEABLE STRETCHING SURFACE WITH NONUNIFORM HEAT SOURCE/SINK EMBEDDED IN FLUID-SATURATED POROUS MEDIUM [J].
Abel, M. Subhas ;
Nandeppanavar, Mahantesh M. ;
Malkhed, M. B. .
CHEMICAL ENGINEERING COMMUNICATIONS, 2010, 197 (05) :633-655
[3]  
Afify AA, 2004, HEAT MASS TRANSFER, V40, P495, DOI [10.1007/s00231-003-0486-0, 10.1007/S00231-003-0486-0]
[4]   Diffusion of chemically reactive species in a porous medium over a stretching sheet [J].
Akyildiz, F. Talay ;
Bellout, Hamid ;
Vajravelu, K. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (01) :322-339
[5]   Unsteady flow across a stretching surface [J].
Ali, F. M. ;
Nazar, R. ;
Arifin, N. M. ;
Ishak, A. ;
Pop, I. .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2010, 37 (05) :476-479
[6]  
Altan T., 1979, METAL FORMING FUNDAM
[7]   DIFFUSION OF A CHEMICALLY REACTIVE SPECIES FROM A STRETCHING SHEET [J].
ANDERSSON, HI ;
HANSEN, OR ;
HOLMEDAL, B .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1994, 37 (04) :659-664
[8]  
Bellman R. E., 1965, QUASILINEARIZATION N
[9]   CHEMICALLY REACTIVE SOLUTE DISTRIBUTION IN MHD BOUNDARY LAYER FLOW OVER A PERMEABLE STRETCHING SHEET WITH SUCTION OR BLOWING [J].
Bhattacharyya, K. ;
Layek, G. C. .
CHEMICAL ENGINEERING COMMUNICATIONS, 2010, 197 (12) :1527-1540
[10]   Slip Effect on Diffusion of Chemically Reactive Species in Boundary Layer Flow over a Vertical Stretching Sheet with Suction or Blowing [J].
Bhattacharyya, Krishnendu ;
Layek, G. C. .
CHEMICAL ENGINEERING COMMUNICATIONS, 2011, 198 (11) :1354-1365