Simulation of Heat and Fluid Flow of a Highly Viscoelastic Fluid, Using a Spectral Method
Project/Area Number  04650145 
Research Category 
GrantinAid for Scientific Research (C).

Research Field 
Fluid engineering

Research Institution  Tokyo Institute of Technology 
Principal Investigator 
MOCHIMARU Yoshihiro Tokyo Institute of Technology, Facuty of Eng., Assc.Prof., 工学部, 助教授 (90092577)

Project Fiscal Year 
1992 – 1993

Project Status 
Completed(Fiscal Year 1993)

Budget Amount *help 
¥2,100,000 (Direct Cost : ¥2,100,000)
Fiscal Year 1993 : ¥300,000 (Direct Cost : ¥300,000)
Fiscal Year 1992 : ¥1,800,000 (Direct Cost : ¥1,800,000)

Keywords  Viscoelsticity / Spectral Method / NonNewtonian Fluid / Numerical Analysis / Polymer Solution / 粘弾性 / スペクトル法 / 非ニュートン流体 / 数値解析 / 高分子液流 
Research Abstract 
Steadystate laminar nonNewtonian fluid flows past an elliptic cylinder or past an ellipsoid of revolution and natural convectin f nonNewtonian fluid filled in the half of an elliptic cylinder are analyzed numericaly to clarify the highly viscoelastic behavior of plymer solutions. A second order fluid model is adopted as a constitutive equation ; in a twodimensonal flow case the equations of motion lead to a similar, but slightly modified, equation to the vorticity transport equation for an incompressible Newtonian fluid, whereas in a threedimensional case the situation is different from the twodimensional case, being supplemented with the stress components. The system f equations in an unsteady form can be split into Fourier components, using Fourier components of a stream function and vorticity in a boundaryfitted conformal coordinate sstem. Then each component is discretized in a finite difference method for doublyexponential grid spacing in time and space ; the resulting equations can be integrated with respect to time to get a steadystate solution. As a rsult, a large increase of a drag force and a large variation of streamlines due to fluid viscoelastcity is found at moderae Reynolds numbers of Grashf numbers for a variety of shapes.

Report
(4results)
Research Output
(6results)