Improved Nonlinear Fluid Model in Rotating Flow

Nariman Ashrafi; Habib Karimi Haghighi

doi:10.3879/j.issn.1000-0887.2012.11.007

Volume 33 Issue 11

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Nariman Ashrafi, Habib Karimi Haghighi. Improved Nonlinear Fluid Model in Rotating Flow[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1320-1329. doi: 10.3879/j.issn.1000-0887.2012.11.007

Citation:

Nariman Ashrafi, Habib Karimi Haghighi. Improved Nonlinear Fluid Model in Rotating Flow[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1320-1329. doi: 10.3879/j.issn.1000-0887.2012.11.007

Citation:

Nariman Ashrafi, Habib Karimi Haghighi. Improved Nonlinear Fluid Model in Rotating Flow[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1320-1329. doi: 10.3879/j.issn.1000-0887.2012.11.007

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Improved Nonlinear Fluid Model in Rotating Flow

doi: 10.3879/j.issn.1000-0887.2012.11.007

Department of Mechanical and Aerospace Engineering, Science and Research Branch,Islamic Azad University, Tehran, Iran

Received Date: 2011-04-13
Rev Recd Date: 2012-06-27
Publish Date: 2012-11-15

Abstract

Abstract

Pseudoplastic circular Couette flow in annulus was investigated. The viscosity was dependent on the shear rate which directly affected the conservation equations that were solved by the spectral method in the present study. The pseudoplastic model adopted here proved suitable representative of nonlinear fluids. Unlike the previous studies where only the square of shear rate term in viscosity expression was considered to ease the numerical manipulations, in the present study the term containing the quadratic power was also taken into account. The curved streamlines of the circular Couette flow could cause a centrifugal instability leading to toroidal vortices, known as Taylor vortices. It is further found that the critical Taylor number becomes lower as the pseudoplastic effect increases. Comparison with existing measurements on pseudoplastic circular Couette flow results in good agreement.
- pseudoplastic,
- circular Couette flow,
- toroidal vortices,
- spectral method

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References(22)

References

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