FLOW OF A NON-NEWTONIAN FLUID PAST A WEDGE

被引:107
作者
GARG, VK
RAJAGOPAL, KR
机构
[1] Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, 15261, PA
关键词
D O I
10.1007/BF01170596
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A pseudo-similarity solution has been obtained for the flow of an incompressible fluid of second grade past a wedge. The numerical method developed for this purpose enables computation of the flow characteristics for any value of the parameters K and a, where K is the dimensionless normal stress modulus of the fluid, and a is related to the wedge angle. Results computed for K(x)2a varying from 0 to 200 show a marked decrease or increase in wall shear, depending upon the wedge angle, as x-2a/K increases from 0 to about 1; thereafter the change in wall shear stress is small. The present results match exactly with those from an earlier perturbation analysis for K(x)2a less-than-or-equal-to 0.01 but differ significantly as K(x)2a increases.
引用
收藏
页码:113 / 123
页数:11
相关论文
共 14 条
[1]  
ASTIN J, 1973, J MECANIQUE, V12, P527
[2]   ELASTICO-VISCOUS BOUNDARY-LAYER FLOWS .I. 2-DIMENSIONAL FLOW NEAR STAGNATION POINT [J].
BEARD, DW ;
WALTERS, K .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (03) :667-&
[3]  
BEARD DW, 1978, THESIS U WALES ABERY
[4]  
DUNN JE, 1990, UNPUB CRITICAL REV T
[5]   UNIQUENESS AND DRAG FOR FLUIDS OF 2ND GRADE IN STEADY MOTION [J].
FOSDICK, RL ;
RAJAGOPAL, KR .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1978, 13 (03) :131-137
[7]   STAGNATION POINT FLOW OF A NON-NEWTONIAN FLUID [J].
GARG, VK ;
RAJAGOPAL, KR .
MECHANICS RESEARCH COMMUNICATIONS, 1990, 17 (06) :415-421
[8]   ON THE FORMULATION OF RHEOLOGICAL EQUATIONS OF STATE [J].
OLDROYD, JG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1950, 200 (1063) :523-541
[9]   A NOTE ON THE FALKNER-SKAN FLOWS OF A NON-NEWTONIAN FLUID [J].
RAJAGOPAL, KR ;
GUPTA, AS ;
NA, TY .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1983, 18 (04) :313-320
[10]  
RAJAGOPAL KR, 1980, LETT APPL ENG SCI, V18, P875