Investigation of the non-newtonian effect on nonisothermal viscoelastic flow around a sphere

Authors

  • Snigerev B.A. Institute of Mechanics and Mechanical Engineering, Kazan Scientific Center, Russian Academy of Science, Kazan, Russian Federation

UDC

532.517.2:534.2

Abstract

Viscoelastic flow structure and heat transfer around a sphere is being studied. Fluid motion is described by equations of conservation of mass, momentum and thermal energy with rheological constitutive equation of Phan-Thien Tanner (PTT). This model is a generalized Maxwell type model with two additional parameters, developed from kinetic theory of polymers. Numerically shown the considerable influence of fluid stress relaxation time and temperature difference between sphere and medium on viscoelastic structure of the flow in wake. Investigation results of the heat transfer exchange in non-isothermal flow around sphere with slip and noslip condition on walls are given.

Keywords:

viscoelastic fluid, axisymmetric flow, heat transfer

Author Biography

  • Boris A. Snigerev

    канд техн. наук, старший научный сотрудник Института механики и машиностроения Казанского научного центра РАН

References

  1. Hassager O. Negative wake behind bubles in non-Newtonian liquids // Nature. 1979. Vol. 279. P. 402-403.
  2. Arigo M.T., McKinley G.H. An experimental investigation of negative wakes behind spheres settling in shear-thinning visoellastic fluids // Rheol.Acta. 1998. Vol. 37. P. 307-327.
  3. Phan-Thien N. A new constitutive equation derived from network theory // J.Non-Newtonian Fluid. Mech. 1979. Vol. 2. P. 353-365.
  4. Bird R.B., Armstrong R.C., Hassager O. Dynamics of Polymeric Liquids. Vol. 1. Fluid Mechanics. 2nd ed. New York: John Wiley and Sons, 1987. 565 p.
  5. Назмеев Ю.Г. Гидродинамика и теплообмен закрученных потоков реологически сложных жидкостей. М.: Энергоатомиздат, 1996. 304 c.
  6. Захаренков С.М. Реализация граничных условий частичного или полного проскальзывания при решении уравнений Навье-Стокса // Журн. вычисл. мат. и мат. физ. 2001. Т. 41. №5. С. 796-806.
  7. Aboubacar M., Phillips T. N., Snigerev B.A., Tamaddon-Jahromi H.R., Webster M.F. High-order finite volume schemes for viscoelastic flows // J. Comput. Phys. 2004. Vol. 199. P. 16-40.

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Issue

Pages

48-51

Section

Article

Dates

Submitted

December 23, 2009

Accepted

December 24, 2009

Published

December 25, 2009

How to Cite

[1]
Snigerev, B.A., Investigation of the non-newtonian effect on nonisothermal viscoelastic flow around a sphere. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2009, № 4, pp. 48–51.

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