Unsteady helical flows of a generalized Oldroyd-B fluid

Deng-ke, Tong; Zhang, Xianmin; Zhang, Xinhong

doi:10.1016/j.jnnfm.2008.07.004

Cited by 77 publications

(44 citation statements)

References 28 publications

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“…Among all the fractional models, the generalized Jeffreys fluid and the generalized convected Jeffreys or Oldroyd-B fluid have been the most frequently encountered models in this area. There are many examples of researches focusing on these two fluids [5][6][7][8][9][10][11][12]. However, a scrutiny into these papers reveals that all these studies have hardly considered or considered correctly the constraints on the constitutive parameters which keep these models physically meaningful.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic compatibility and mechanical analogue of the generalized Jeffreys and generalized Oldroyd-B fluids with fractional derivatives

Yang

Zhu

2011

Sci. China Phys. Mech. Astron.

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The study of generalized Jeffreys and generalized Oldroyd-B fluids with fractional derivatives has made rapid progress as an example of applications of fractional calculus in rheology. However, their thermodynamic compatibility and mechanical analogue have not yet been properly considered. In the present study, by discussing both these issues, we find that the two orders of fractional derivatives in the constitutive equation of the generalized Jeffreys fluid must be the same in order to ensure that the equation is physically correct. Based on this generalized Jeffreys fluid, a thermodynamically compatible generalized Oldryd-B fluid is also proposed by the convected coordinates approach. generalized Jeffreys fluid, generalized Oldroyd-B fluid, thermodynamic compatibility, mechanical analogue PACS: 47.50.Cd, 47.57.Qk, 47.57.Ng

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Section: Introductionmentioning

confidence: 99%

Thermodynamic compatibility and mechanical analogue of the generalized Jeffreys and generalized Oldroyd-B fluids with fractional derivatives

Yang

Zhu

2011

Sci. China Phys. Mech. Astron.

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“…between two flat plates or two concentric cylinders, viscoelastic fluids like Maxwell 14) , Oldroyd-B [15][16] , second grade 17) , generalized Burgers 18) , and etc. were considered.…”

Section: In Many Cases Of Unsteady Non-newtonian Fluid Flowmentioning

confidence: 99%

Unsteady Helical Flow of Giesekus Viscoelastic Fluid between Two Concentric Cylinders

Pourjafar

Salehi-Shabestari

2015

J. Soc. Rheol., Jpn

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In this paper the unsteady helical flow of Giesekus fluid between two concentric cylinders is investigated numerically. The flow is impressed by inner cylinder's rotation and the outer cylinder's sliding or oscillating movement along its axial direction. The effects of Weissenberg number, the mobility parameter of Giesekus model, and frequency of oscillations on velocity field and shear stresses are studied. These results affirm the shear thinning behavior of Giesekus fluid. Also it was found that tangential shear stress at inner cylinder's surface, axial shear stress at outer cylinder's surface, and first normal stress difference decrease by increasing the mobility parameter and the approach of axial velocity or shear stresses to their steady periodic state values is postponed by decreasing the Reynolds number.

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“…Few studies in this direction may be represented by the refs. (Fetecau (2003), Fetecau and Fetecau (2005), Fetecau et al (2007), Qi and Jin (2009), Tong et al (2009), Zhang et al (2011), Jamil et al (2011), Jamil and Fetecau (2012, Zheng et al (2012) and Hayat et al (2012a)). Crane (1970) was the first who investigated the boundary layer two-dimensional flow of viscous fluid bounded by a stretching surface.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux

Hayat

Shehzad

Alsaedi

2014

Journal of Hydrology and Hydromechanics

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This paper concentrates on the mathematical modelling for three-dimensional flow of an incompressible Oldroyd-B fluid over a bidirectional stretching surface. Mathematical formulation incorporates the effect of internal heat source/sink. Two cases of heat transfer namely the prescribed surface temperature (PST) and prescribed surface heat flux (PHF) are considered. Computations for the governing nonlinear flow are presented using homotopy analysis method.Comparison of the present analysis is shown with the previous limiting result. The obtained results are discussed by plots of interesting parameters for both PST and PHF cases. We examine that an increase in Prandtl number leads to a reduction in PST and PHF. It is noted that both PST and PHF are increased with an increase in source parameter. Further we have seen that the temperature is an increasing function of ratio parameter.

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Unsteady helical flows of a generalized Oldroyd-B fluid

Cited by 77 publications

References 28 publications

Thermodynamic compatibility and mechanical analogue of the generalized Jeffreys and generalized Oldroyd-B fluids with fractional derivatives

Thermodynamic compatibility and mechanical analogue of the generalized Jeffreys and generalized Oldroyd-B fluids with fractional derivatives

Unsteady Helical Flow of Giesekus Viscoelastic Fluid between Two Concentric Cylinders

Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux

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