APPLICATION OF HIGHER-ORDER FINITE-ELEMENT METHODS TO VISCOELASTIC FLOW IN POROUS-MEDIA

被引:61
作者
TALWAR, KK
KHOMAMI, B
机构
[1] WASHINGTON UNIV,DEPT CHEM ENGN,ST LOUIS,MO 63130
[2] WASHINGTON UNIV,MAT RES LAB,ST LOUIS,MO 63130
关键词
D O I
10.1122/1.550370
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A higher order Galerkin finite element scheme for simulation of two-dimensional viscoelastic fluid flows has been developed. The numerical scheme used in this study gives rise to a stable discretization of the continuum problem as well as providing an exponential convergence rate toward the exact solution. Hence, with this method, spurious oscillatory modes are effectively eliminated by increasing the order of the interpolant within each subdomain. In our calculations, an upper limit for the Weissenberg number due to numerical instability was not encountered. However, the memory requirements of the discretization grow quadratically with the polynomial order. Consequently, the maximum attainable We is determined by the availability of computational resources. The algorithm was tested for flow of upper convected Maxwell and Oldroyd-B fluids in the undulating tube problem and it was subsequently applied to viscoelastic flow past square cylindrical arrangements. The results obtained show no increase in the flow resistance with increasing elasticity. These findings are in contrast to the experimental data reported in the literature. However, recent experimental investigations have indicated that this dramatic increase in flow resistance is due to a purely elastic instability. Hence, numerical simulation based on two-dimensional steady flow of viscoelastic fluids cannot be expected to capture this phenomenon.
引用
收藏
页码:1377 / 1416
页数:40
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共 50 条
[1]   FLOW THROUGH POROUS-MEDIA OF A SHEAR-THINNING LIQUID WITH YIELD STRESS [J].
ALFARISS, T ;
PINDER, KL .
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1987, 65 (03) :391-405
[2]   EFFICIENT PRECONDITIONING FOR THE RHO-VERSION FINITE-ELEMENT METHOD IN 2 DIMENSIONS [J].
BABUSKA, I ;
CRAIG, A ;
MANDEL, J ;
PITKARANTA, J .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (03) :624-661
[3]   SPECTRAL FINITE-ELEMENT CALCULATIONS OF THE FLOW OF A MAXWELL FLUID BETWEEN ECCENTRIC ROTATING CYLINDERS [J].
BERIS, AN ;
ARMSTRONG, RC ;
BROWN, RA .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1987, 22 (02) :129-167
[4]   FINITE-ELEMENT CALCULATION OF VISCOELASTIC FLOW IN A JOURNAL BEARING .2. MODERATE ECCENTRICITY [J].
BERIS, AN ;
ARMSTRONG, RC ;
BROWN, RA .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1986, 19 (03) :323-347
[5]   STREAMLINE UPWIND PETROV-GALERKIN FORMULATIONS FOR CONVECTION DOMINATED FLOWS WITH PARTICULAR EMPHASIS ON THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
BROOKS, AN ;
HUGHES, TJR .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 32 (1-3) :199-259
[6]  
BROOKS AN, 1980, 3RD P C FIN EL METH
[7]   GALERKIN FINITE-ELEMENT ANALYSIS OF COMPLEX VISCOELASTIC FLOWS [J].
BROWN, RA ;
ARMSTRONG, RC ;
BERIS, AN ;
YEH, PW .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 58 (02) :201-226
[8]   CALCULATIONS OF VISCOELASTIC FLOW THROUGH AN AXISYMMETRIC CORRUGATED TUBE USING THE EXPLICITLY ELLIPTIC MOMENTUM EQUATION FORMULATION (EEME) [J].
BURDETTE, SR ;
COATES, PJ ;
ARMSTRONG, RC ;
BROWN, RA .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1989, 33 (01) :1-23
[9]  
CHMIELEWSKI CA, 1991, 63RD ANN M SOC RHEOL
[10]   POWER-LAW FLOW THROUGH A PACKED TUBE [J].
CHRISTOPHER, RH ;
MIDDLEMAN, S .
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1965, 4 (04) :422-+