A couple stress fluid modeling on free convection oscillatory hydromagnetic flow in an inclined rotating channel

Ahmed, Sahin; Bég, O. Anwar; Ghosh, Swapan K.

doi:10.1016/j.asej.2014.04.006

Cited by 38 publications

(18 citation statements)

References 33 publications

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“…Some exact solutions for the equations governing the unsteady plane flow of an incompressible couple stress fluid were determined by Naeem [9] using a canonical transformation. Ahmed et al [10], using complex variables, have studied the oscillatory flows of a couple stress fluid in an inclined, rotating channel. Unsteady magnetohydrodynamic flow of couple stress fluids through a porous medium, between two parallel plates under the influence of pulsating pressure gradient was analyzed by Sarojini et al [11].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for some unsteady flows of a couple stress fluid between parallel plates

Akhtar

2018

Ain Shams Engineering Journal

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Exact solutions for three fundamental unsteady flows of an incompressible couple stress fluid between two parallel plates, namely, Couette, generalized Couette and Poiseuille flows, are obtained. Analytical solutions of the corresponding initial-boundary value problems are obtained by means of the integral transforms method (Laplace and finite sine Fourier transforms). For each flow type, the solution is written as the sum between the post transient solution (steady-state solution) and the transient solution. The volume flow rate and skin friction coefficients are, also, obtained. The effect of various parameters on the fluid velocity is graphically underlined and discussed and the critical time to reach the steady-state is also determined. Ó 2016 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Section: Introductionmentioning

confidence: 99%

Exact solutions for some unsteady flows of a couple stress fluid between parallel plates

Akhtar

2018

Ain Shams Engineering Journal

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“…The effects of kinetic helicity (velocity-vorticity correlation) on turbulent momentum transport were investigated by Yokoi et al [16,17]. Other interesting topics can be found in references [18][19][20][21].…”

Section: Advances In Mathematical Physicsmentioning

confidence: 99%

Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid

Rubbab

Mirza

Siddique

et al. 2017

Advances in Mathematical Physics

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The helical flows of couple-stress fluids in a straight circular cylinder are studied in the framework of the newly developed, fully determinate linear couple-stress theory. The fluid flow is generated by the helical motion of the cylinder with time-dependent velocity. Also, the couple-stress vector is given on the cylindrical surface and the nonslip condition is considered. Using the integral transform method, analytical solutions to the axial velocity, azimuthal velocity, nonsymmetric force-stress tensor, and couple-stress vector are obtained. The obtained solutions incorporate the characteristic material length scale, which is essential to understand the fluid behavior at microscales. If characteristic length of the couple-stress fluid is zero, the results to the classical fluid are recovered. The influence of the scale parameter on the fluid velocity, axial flow rate, force-stress tensor, and couple-stress vector is analyzed by numerical calculus and graphical illustrations. It is found that the small values of the scale parameter have a significant influence on the flow parameters.

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“…Srinivasacharya and Kaladhar [6] analysed the Hall and Ion-slip effects on the flow of electrically conducting couple stress fluid flow through two circular cylinders in the presence of a temperature dependent heat source. Ahmed et al [7] studied the oscillatory flow of hydromagnetic couple stress fluid down an inclined and rotating channel with nonconducting walls. Hayat et al [8] also investigated the influence of magnetic field on the peristaltic motion of an incompressible fluid in a planar channel with non-conductive walls.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic natural convection flow between vertical parallel plates with time-periodic boundary conditions

Adesanya

Oluwadare

Falade

et al. 2015

Journal of Magnetism and Magnetic Materials

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A couple stress fluid modeling on free convection oscillatory hydromagnetic flow in an inclined rotating channel

Cited by 38 publications

References 33 publications

Exact solutions for some unsteady flows of a couple stress fluid between parallel plates

Exact solutions for some unsteady flows of a couple stress fluid between parallel plates

Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid

Hydromagnetic natural convection flow between vertical parallel plates with time-periodic boundary conditions

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