The effect of Thompson and Troian’s nonlinear slip condition on Couette flows between concentric rotating cylinders

Power, H.; Soavi, J.; Kantachuvesiri, P.; Nieto, César

doi:10.1007/s00033-015-0527-9

Cited by 5 publications

(3 citation statements)

References 28 publications

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“…Variation in slip length arises from the fact that, during a collision with a solid surface, a fluid molecule will transfer some of its tangential momentum to the solid. The collision frequency is not high enough to ensure thermodynamic equilibrium, and a certain degree of slip tangential velocity must be allowed [9]. Luo and Pozrikidis [10] developed a BEM formulation for studying slip flow over a spherical particle in an infinite fluid and near a plane wall.…”

Section: Introductionmentioning

confidence: 99%

“…Numerical solutions of nonlinear slip flows using Thompson and Troian's model are reported, where lid-driven polar cavity flow and thin film flow of a fluid between two spheres are considered in [18] and [19]. In a recent study, Power et al [9] studied the effect of the Thompson and Troian's nonlinear slip condition on Couette flows between concentric rotating cylinders. They showed that, by using this type of nonlinear slip condition, it is possible to predict complex characteristics of the flow field not previously reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

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DRBEM formulation for transient Stokes flow with slip boundary condition

Gümgüm

Wrobel

2017

Engineering Analysis with Boundary Elements

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In this study, the effect of linear and nonlinear slip boundary conditions on the flow of a slow viscous fluid is investigated numerically. The boundary integral representation of the transient Stokes equations is given in primitive variables form. The fundamental solution to the steady Stokes equations is employed in the boundary element method (BEM) formulation. The time derivative is taken to the boundary with the dual reciprocity method and approximated by the finite difference method (FDM) until a steady-state is achieved. It is assumed that the fluid is capable of slip, with the slip velocity expressed as a function of shear rate at the wall. In the numerical tests, the fluid is initially assumed to be stationary; at each time step, the velocity boundary conditions along the walls are updated as the shear forces vary with time.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

DRBEM formulation for transient Stokes flow with slip boundary condition

Gümgüm

Wrobel

2017

Engineering Analysis with Boundary Elements

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show abstract

Section: Introductionmentioning

confidence: 99%

A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

Soares

Wrobel

2017

Engineering Analysis with Boundary Elements

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In this work, fluid-fluid-solid coupled models are analysed, considering the interaction of boundary and finite element techniques. In this context, the paper focuses on the study of deforming drops through bulk fluids bounded by flexible walls. Here, the fluid subdomains are assumed to be viscous and incompressible, and they are modelled by the BEM. The solid subdomains are assumed to be elastic, and they are modelled by the FEM. Both discontinuity of tractions on the fluid-fluid common boundaries and discontinuity of velocities on the fluidsolid interfaces are considered. For the discontinuity of velocities, a formulation based on nonlinear slip boundary conditions is adopted, which is treated employing a relaxed iterative approach. A Lagrangian representation is considered and remeshing is applied on the fluidfluid interfaces, reducing the appearance of numerical problems. Numerical results are presented to illustrate the performance and potentialities of the proposed techniques.

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Thompson and Troian velocity slip flow of the Casson hybrid nanofluid past a Darcy–Forchheimer porous inclined surface with Ohmic heating, Dufour and Soret effects

Chaudhary,

Deshwal

2024

Pramana - J Phys

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The effect of Thompson and Troian’s nonlinear slip condition on Couette flows between concentric rotating cylinders

Cited by 5 publications

References 28 publications

DRBEM formulation for transient Stokes flow with slip boundary condition

DRBEM formulation for transient Stokes flow with slip boundary condition

A coupled BEM/FEM formulation for drop interaction in Stokes flows with flexible and slip confining boundaries

Thompson and Troian velocity slip flow of the Casson hybrid nanofluid past a Darcy–Forchheimer porous inclined surface with Ohmic heating, Dufour and Soret effects

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