Three-Dimensional Magnetohydrodynamics Flow of Upper Convected Maxwell Fluid Along an Infinite Plane Wall with Periodic Suction

Shoaib, Mohammed; Rana, M. A.; Siddiqui, A. M.; Darus, Maslina

doi:10.1166/jctn.2016.5969

Cited by 6 publications

(6 citation statements)

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“…and corresponding boundary conditions are where the constants E 13 , E 14 , and E 15 are defined in Appendix A. In the case ε 0, the equations of motion (14)- (16) and boundary conditions (17) are perturbed by taking…”

Section: Main Flow Solutionmentioning

confidence: 99%

“…Though the Navier-Stokes equations can cope with the Newtonian fluids flows only but these are insufficient to incorporate the configurations of non-Newtonian fluids. Researchers [17][18][19][20][21][22] considered three-dimensional flow of non-Newtonian fluids under various physical conditions. According to the authors, knowledge Couette flow of the second-grade fluid with perpendicular sinusoidal injection/suction velocity has not yet been examined.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

et al. 2019

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This work explores the three-dimensional laminar flow of an incompressible second-grade fluid between two parallel infinite plates. The assumed suction velocity comprises a basic steady dispersal with a superimposed weak transversally fluctuating distribution. Because of variation of suction velocity in transverse direction on the wall, the problem turns out to be three-dimensional. Analytic solutions for velocity field, pressure and skin friction are presented and effects of dimensionless parameters emerging in the model are discussed. It is observed that the non-Newtonian parameter plays dynamic part to rheostat the velocity component along main flow direction.

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Section: Main Flow Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

et al. 2019

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“…The case when ε = 0, the differential equations (14)- (16) governing the fluid flow and boundary conditions (17) are perturbed by taking…”

Section: Main Flow Solutionmentioning

confidence: 99%

“…Although the Navier-Stokes equations can handle the flows of Newtonian fluids, these are inadequate to describe the features of non-Newtonian fluids. Shoaib and his co-workers [17] studied three-dimensional flow of Maxwell fluid along an infinite plane wall with the application of periodic suction.…”

mentioning

confidence: 99%

Three-dimensional Couette flow of a Jeffrey fluid along periodic injection/suction

2018

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Three-dimensional Couette flow of an incompressible Jeffrey fluid is formulated and discussed analytically and graphically. The suction is applied over uniformly moving upper plate and its equivalent deduction by injection at the lower stationary plate. Because of this type of suction/injection, this flow turns into three-dimensional. An analytical method is applied to get main flow velocity, secondary flows velocities and pressure components. Also skin friction components along the main and secondary flow directions have been calculated. The effects of different physical parameters, for example, the Deborah number, suction/injection parameter, the ratio of relaxation time to the retardation time and Reynolds number have been discussed graphically. It is witnessed that the Deborah number plays vital role to control the main flow velocity.

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“…Although the Navier-Stokes equations can cope with the flows of viscous fluids, these equations are inadequate to describe the characteristics of non-Newtonian fluids. Shoaib et al [18][19][20][21][22] analyzed theoretically three-dimensional nonNewtonian fluids flow along an infinite plane with periodic suction.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic Three‐Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

Ali

Rana

Shoaib

2017

Mathematical Problems in Engineering

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A mathematical model for magnetohydrodynamic (MHD) three-dimensional Couette flow of an incompressible Maxwell fluid is developed and analyzed theoretically. The application of transverse sinusoidal injection at the lower stationary plate and its equivalent removal by suction through the uniformly moving upper plate lead to three-dimensional flow. Approximate solutions for velocity field, pressure, and skin friction are obtained. The effects of flow parameters such as Hartmann number, Reynolds number, suction/injection parameter, and the Deborah number on velocity components, skin friction factors along main flow direction and transverse direction, and pressure through parallel porous plates are discussed graphically. It is noted that Hartmann number provides a mechanism to control the skin friction component along the main flow direction.

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Three-Dimensional Magnetohydrodynamics Flow of Upper Convected Maxwell Fluid Along an Infinite Plane Wall with Periodic Suction

Cited by 6 publications

References 0 publications

Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

Three-Dimensional Couette Flow of a Second-Grade Fluid Along Periodic Injection/Suction

Three-dimensional Couette flow of a Jeffrey fluid along periodic injection/suction

Magnetohydrodynamic Three‐Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

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