Three dimensional flow of viscoelastic fluid by an exponentially stretching surface with mass transfer

被引:15
作者
Alhuthali, M. Shabab [2 ]
Shehzad, S. A. [1 ]
Malaikah, Honaida [2 ]
Hayat, T. [1 ,2 ]
机构
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
关键词
three dimensional flow; viscoelastic fluid; exponentially stretching sheet; mass transfer; TRANSVERSE MAGNETIC-FIELD; HEAT-TRANSFER; SHEET; 2ND-GRADE; SUBJECT;
D O I
10.1016/j.petrol.2014.03.009
中图分类号
TE [石油、天然气工业]; TK [能源与动力工程];
学科分类号
0807 ; 0820 ;
摘要
Objective: This paper investigates the three-dimensional MHD flow of viscoelastic fluid with mass transfer over an exponentially stretching surface. Method: Nonlinear partial differential equations are reduced into ordinary differential equations by employing similarity variables. The corresponding nonlinear expressions for velocity and concentration are solved by homotopy analysis method. Results: Convergence analysis is performed graphically and numerically. Results for velocities, concentration and Sherwood number are displayed and discussed in detail. Conclusions: The momentum boundary layer thicknesses are reduced whereas the concentration boundary layer thickness is increased for the larger values of the Hartman number. The local Sherwood number is an increasing function of the Hartman number and viscoelastic parameter. Practice implications: Flows of non-Newtonian fluids have an extensive applications in the industry and technology, for example in petroleum drilling, manufacturing of foods and paper, polymers extrusion and many others. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:221 / 226
页数:6
相关论文
共 23 条
[1]   Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface [J].
Abbas, Z. ;
Wang, Y. ;
Hayat, T. ;
Oberlack, M. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (08) :783-793
[2]   A new application of the homotopy analysis method: Solving the Sturm-Liouville problems [J].
Abbasbandy, S. ;
Shirzadi, A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :112-126
[3]   Flow of a second grade fluid over a sheet stretching with arbitrary velocities subject to a transverse magnetic field [J].
Ahmad, A. ;
Asghar, S. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1905-1909
[4]  
[Anonymous], 2011, AM J COMPUT MATH, DOI DOI 10.4236/AJCM.2011.12012
[5]   Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet [J].
Bhattacharyya, Krishnendu .
CHINESE PHYSICS LETTERS, 2011, 28 (08)
[6]   Flow and heat transfer of an electrically conducting fluid of second grade over a stretching sheet subject to suction and to a transverse magnetic field [J].
Cortell, R .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (11-12) :1851-1856
[7]  
Elbashbeshy E. M. A., 2001, Archives of Mechanics, V53, P643
[8]   Radiative Flow with Variable Thermal Conductivity in Porous Medium [J].
Hayat, Tasawar ;
Shehzad, Sabir Ali ;
Qasim, Muhammad ;
Alsaedi, A. .
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2012, 67 (3-4) :153-159
[9]   MHD Flow of an Oldroyd-B Fluid Through a Porous Channel [J].
Hayat, Tasawar ;
Shehzad, Sabir Ali ;
Mustafa, Meraj ;
Hendi, Awatif .
INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING, 2012, 10
[10]   FLOW OF A SECOND GRADE FLUID WITH CONVECTIVE BOUNDARY CONDITIONS [J].
Hayat, Tasawar ;
Shehzad, Sabir A. ;
Qasim, Muhammad ;
Obaidat, Saleem .
THERMAL SCIENCE, 2011, 15 :S253-S261