Hydrodynamics and heat transfer in a laminar flow of viscoelastic fluid in a flat slot channel

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• 作者：D. V. Ananyev ; G. R. Halitova ; E. K. Vachagina
• 关键词：hydrodynamics ; heat transfer ; flat slot channel ; laminar flow ; mathematical modeling ; Phan ; Thien—Tanner model ; viscoelastic fluid
• 刊名：Thermophysics and Aeromechanics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：22
• 期：1
• 页码：49-60
• 全文大小：595 KB
• 参考文献：1. W.M.H. Verbeeten, G.W.M. Peters, and F.P.T. Baaijens, Viscoelastic analysis of complex polymer melt flows using the eXtended Pom-Pom model, J. Non-Newtonian Fluid Mech., 2002, Vol. 108, P. 301-26.View Article MATH
  2. T.D. Lord, L. Scelsi, D.G. Hassell, and M.R. Mackley, The matching of 3D Rolie-Poly viscoelastic numerical simulation with experimental polymer melt flow within a slit and cross-slot geometry, J. Rheol., 2010, Vol. 54, No. 2, P. 355-73.View Article ADS
  3. N. Phan-Thien and R.I. Tanner, A new constitutive equation derived from the concept of deformation-dependent tensorial mobility, J. Non-Newtonian Fluid Mech., 1977, Vol. 211, P. 353-65.View Article
  4. M.A. Alves, F.T. Pinho, and P.J. Oliveira, Study of steady pipe and channel flows of a single-mode Phan-Thien—Tanner fluid, J. Non-Newtonian Fluid Mech., 2001, Vol. 101, P. 55-6.View Article MATH
  5. P.J. Oliveira and F.T. Pinho, Analytical solution for fully developed channel and pipe flow of Phan-Thien—Tanner fluids, J. Fluid Mech., 1999, Vol. 387, P. 271-80.View Article ADS MATH MathSciNet
  6. L.L. Ferrás, J.M. Nóbrega, and F.T. Pinho, Analytical solutions for channel flow of Phan-Thien—Tanner and Giesekus fluids under slip, J. Non-Newtonian Fluid Mech., 2012, Vol. 171, P. 97-05.View Article
  7. D.O.A. Cruz, F.T. Pinho, and P.J. Oliveira, Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a Newtonian solvent contribution, J. Non-Newtonian Fluid Mech., 2005, Vol. 132, P. 28-5.View Article MATH
  8. R.I. Tanner and S. Nasseri, Simple constitutive models for linear and branched polymers, J. Non-Newtonian Fluid Mech., 2003, Vol. 116, P. 1-7.View Article MATH
  9. W.M. Brondani, H.T. Coradin, and A.T. Franco, Numerical study of a PTT viscoelastic fluid flow through a concentric annular, in: 19th Int. Congress of Mechanical Engng, November 5-, 2007, Brasilia, DF.
  10. A. Bogaerds, Stability Analysis of Viscoelastic Flow, Technische Universiteit Eindhoven, Eindhoven, 2002.
  11. P.J. Oliveira, Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries, J. Non-Newtonian Fluid Mech., 2003, Vol. 114, P. 33-3.View Article MATH
  
• 作者单位：D. V. Ananyev (1)
  G. R. Halitova (1)
  E. K. Vachagina (1)
  
  1. Research Center for Power Engineering Problems, Kazan Scientific Center of RAS, Kazan, Russia
  
• 刊物主题：Thermodynamics;
• 出版者：Springer US
• ISSN：1531-8699

文摘

Results of the numerical study of hydrodynamics and heat transfer in a laminar flow of viscoelastic fluid in a flat slot channel are presented in the present paper. The model of nonlinear viscoelastic fluid of Phan-Thien—Tanner is used to describe the viscoelastic properties of fluid. The solution to the stated problem by software package “COMSOL Multiphysics-is considered. The method of solution is verified, and results are compared with data of the other authors. It is determined that in the flow of viscoelastic fluid in a flat slot channel, the maximal contribution of heating due to dissipation is approximately 7- %.