Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet

被引:142
作者
Khan, SK [1 ]
Sanjayanand, E [1 ]
机构
[1] Gulbarga Univ, Dept Math, Karnataka 585106, India
关键词
viscoelastic fluid; boundary layer flow; exponential stretching surface; heat transfer and non-isothermal boundary;
D O I
10.1016/j.ijheatmasstransfer.2004.10.032
中图分类号
O414.1 [热力学];
学科分类号
摘要
Viscoelastic boundary layer flow and heat transfer over an exponential stretching continuous sheet have been examined in this paper. Approximate analytical similarity solution of the highly non-linear momentum equation and confluent hypergeometric similarity solution of the heat transfer equation are obtained. Accuracy of the analytical solution for stream function is verified by numerical solutions obtained by employing Runge-Kutta fourth order method with shooting. These solutions involve an exponential dependent of stretching velocity, prescribed boundary temperature and prescribed boundary heat flux on the flow directional coordinate. The effects of various physical parameters like viscoelastic parameter, Prandtl number, Reynolds number, Nusselt number and Eckert number on various momentum and heat transfer characteristics are discussed in detail in this work. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1534 / 1542
页数:9
相关论文
共 22 条
[1]   ON THERMAL-BOUNDARY-LAYER ON A POWER-LAW STRETCHED SURFACE WITH SUCTION OR INJECTION [J].
ALI, ME .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 1995, 16 (04) :280-290
[2]   MHD FLOW OF A VISCOELASTIC FLUID PAST A STRETCHING SURFACE [J].
ANDERSSON, HI .
ACTA MECHANICA, 1992, 95 (1-4) :227-230
[4]   HEAT AND MASS-TRANSFER IN A HYDROMAGNETIC FLOW OF THE VISCOELASTIC FLUID OVER A STRETCHING SHEET [J].
CHAR, MI .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 186 (03) :674-689
[5]  
Coleman B. D., 1960, ARCH RATION MECH AN, V6, P355, DOI [10.1007/BF00276168, DOI 10.1007/BF00276168]
[6]   SIMILARITY SOLUTIONS FOR FLOW AND HEAT-TRANSFER OF A VISCOELASTIC FLUID OVER A STRETCHING SHEET [J].
CORTELL, R .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1994, 29 (02) :155-161
[7]   FLOW AND HEAT-TRANSFER IN A VISCOELASTIC FLUID OVER A STRETCHING SHEET [J].
DANDAPAT, BS ;
GUPTA, AS .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1989, 24 (03) :215-219
[8]   FLUIDS OF DIFFERENTIAL TYPE - CRITICAL-REVIEW AND THERMODYNAMIC ANALYSIS [J].
DUNN, JE ;
RAJAGOPAL, KR .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (05) :689-729
[9]   THERMODYNAMICS, STABILITY, AND BOUNDEDNESS OF FLUIDS OF COMPLEXITY-2 AND FLUIDS OF SECOND GRADE [J].
DUNN, JE ;
FOSDICK, RL .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1974, 56 (03) :191-252
[10]  
Elbashbeshy E. M. A., 2001, Archives of Mechanics, V53, P643