Analytical solutions of couple stress fluid flows with slip boundary conditions

Devakar, M.; Sreenivasu, D.; Shankar, Bandari

doi:10.1016/j.aej.2014.06.005

Cited by 99 publications

(6 citation statements)

References 27 publications

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“…Moving now closer to the boundary conditions relevant for micropolar fluids, it should be mentioned that slip of the tangential velocity at a wall was recently considered in order to study the Couette flow of couple stress fluids in [Silber et al 2007;Alizadeh et al 2011;Devakar et al 2014]. The model of a couple stress fluid becomes relevant if surface effects occur [Mindlin 1965].…”

Section: Literature Review and Discussionmentioning

confidence: 99%

Untitled

2019

Math. Mech. Compl. Sys.

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Section: Literature Review and Discussionmentioning

confidence: 99%

Untitled

2019

Math. Mech. Compl. Sys.

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“…The lower wall is taken to be at y = −L, while the upper wall is at y = L. The Navier slip at the walls are also considered. Thus, the conditions of the velocity at the walls of the channel can be written as [8]…”

Section: Poiseuille Flowmentioning

confidence: 99%

“…For the general Couette flows, the fluid flow is aided by the movement of the upper plate in the direction of the flow. Hence, considering the existence of the Navier slip, the condition of the velocity at the lower wall and upper moving wall of the channel can be described as [8]…”

Section: Couette Flowmentioning

confidence: 99%

Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method

Tlau

2020

ACM

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The presented research article deals with the classical fundamental flows (Poiseuille and Couette) of an incompressible hyperbolic tangent fluid while considering the Navier slip at the walls. The governing equations are solved using the homotopy analysis method. The velocity expressions are obtained for each problem and the effect of the flow parameters are discussed while being supplemented by graphical displays. Increasing the slip parameter reduces the fluid velocity for both problems, respectively. An increase in the Weissenberg number shows that skin friction at the lower wall reduces. This shows that a dominant elastic force is crucial in reducing the skin friction.

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“…It has been observed that, drag reduces as eccentricity of the outer spheroid increases for fixed S 0 . The complete solution for the basic Couette flow, Poiseuille flow and the flow of standard Couette flow for incompressible couple stress fluid between equivalent plates was obtained 4 . They found that when the bottom plate moves to the top plate the Couette flow velocity increases remarkably and boundary velocity declines for more the fluid slides at the boundary.…”

Section: Introductionmentioning

confidence: 99%

Couple Stress Fluid Flow Through a Porous Media Past A Solid Sphere

Chandrashekhar

2023

jmmf

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A steady, two-dimensional, incompressible couple stress fluid flow over a rigid sphere of radius ‘a’ surrounded by infinite porous region specifying a constant velocity away from the boundary is considered. An exact solution is found for the governing equations which leads to the expression for the stream function and shearing stress. The impact of couple stress parameter and porosity on the flow patterns is examined through streamlines. Also shear stress is computed for various values of couple- stress parameter and porous parameter. The obtained results reveal that as coupling stress parameter increases for fixing the porosity, streamlines are symmetric and meandered near the rigid sphere. But for fixed coupling stress parameter and increase in porous parameter cause the streamlines to move away from the solid sphere. Also, the dimensionless shear stress increases as couple-stress parameter intensifies for fixed porous parameter and vanishes at two stagnation points. The amplitude of the shearing stress raises with raise in porous parameter for fixed coupling stress parameter.

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Analytical solutions of couple stress fluid flows with slip boundary conditions

Cited by 99 publications

References 27 publications

Untitled

Untitled

Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method

Couple Stress Fluid Flow Through a Porous Media Past A Solid Sphere

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