| Project/Area Number |
04650145
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
Fluid engineering
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
MOCHIMARU Yoshihiro Tokyo Institute of Technology, Facuty of Eng., Assc.Prof., 工学部, 助教授 (90092577)
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| Project Period (FY) |
1992 – 1993
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| Project Status |
Completed (Fiscal Year 1993)
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| 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)
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| Keywords | Viscoelsticity / Spectral Method / Non-Newtonian Fluid / Numerical Analysis / Polymer Solution |
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| Research Abstract |
Steady-state laminar non-Newtonian fluid flows past an elliptic cylinder or past an ellipsoid of revolution and natural convectin f non-Newtonian 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 two-dimensonal 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 three-dimensional case the situation is different from the two-dimensional 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 boundary-fitted conformal coordinate sstem. Then each component is discretized in a finite difference method for doubly-exponential grid spacing in time and space ; the resulting equations can be integrated with respect to time to get a steady-state 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.
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