Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders

LI Kai-tai; SHI Feng

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(10): 1237-1248

LI Kai-tai, SHI Feng. Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1237-1248.

Citation:

LI Kai-tai, SHI Feng. Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1237-1248.

Citation:

LI Kai-tai, SHI Feng. Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1237-1248.

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Geometric Shape of Interface Surface of Bicomponent Flows Between Two Concentric Rotating Cylinders

College of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China

Received Date: 2008-02-01
Rev Recd Date: 2008-08-22
Publish Date: 2008-10-15

Abstract

Abstract

The shape problem of interface surface of bicomponent flows between two concentric rotating cylinders is investigated.By the tool of tensor analysis,this problem can be reduced to an isoperimetric problem of energy functional when neglecting the effects of dissipative energy caused by viscosity.The associated Eule-rLagrangian equation,which is a nonlinear elliptic boundary value problem of second order was derived.Moreover,in the case of considering the effects of dissipative energy,another total energy functional with dissipative energy to characterize the geometric shape of interface surface was proposed,and the corresponding Eule-rLagrangian equation which is also a nonlinear elliptic boundary value problem of second order was obtained.Thus,the problem of geometric shape is transformed into the nonlinear boundary value problem of second order in both cases.
- bicomponent flow,
- interface surface,
- Navier-Stokes equation,
- two concentric rotating cylinders

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References(22)

References

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