Analytic Approximate Solutions for Unsteady Two‐Dimensional and Axisymmetric Squeezing Flows between Parallel Plates

Rashidi, Majid; Shahmohamadi, Hamed; Dinarvand, Saeed

doi:10.1155/2008/935095

Cited by 123 publications

(78 citation statements)

References 33 publications

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“…They also considered the dissipation effects and chemical reaction. Rashidi et al [11,12] examined and solved the hydrodynamic squeezing flow of a viscous fluid and unsteady squeezing flow of a 2nd grade fluid between circular plates by homotopy analysis method.…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting

Raees

Liao

2015

International Journal of Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 99%

Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting

Raees

Liao

2015

International Journal of Heat and Mass Transfer

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“…Also, Siddiqui et al [4] investigated squeezing flow of viscous fluid between two parallel plates under the unsteady flow condition. In the same year, Rashidi et al [5] examined the unsteady squeezing flow between parallel plates and presented different approximate analytical solutions.…”

Section: Introductionmentioning

confidence: 99%

Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions

Sobamowo

Akinshilo

Yinusa

2018

Modelling and Simulation in Engineering

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e various applications of squeezing flow between two parallel surfaces such as those that are evident in manufacturing industries, polymer processing, compression, power transmission, lubricating system, food processing, and cooling amongst others call for further study on the effects of various parameters on the flow phenomena. In the present study, effects of nanoparticle geometry, slip, and temperature jump conditions on thermo-magneto-solutal squeezing flow of nanofluid between two parallel disks embedded in a porous medium are investigated, analyzed, and discussed. Similarity variables are used to transform the developed governing systems of nonlinear partial differential equations to systems of nonlinear ordinary differential equations. Homotopy perturbation method is used to solve the systems of the nonlinear ordinary differential equations. In order to verify the accuracy of the developed analytical solutions, the results of the homotopy perturbation method are compared with the results of the numerical method using the shooting method coupled with the fourth-order Runge-Kutta, and good agreements are established. rough the approximate analytical solutions, parametric studies are carried out to investigate the effects of nanoparticle size and shape, Brownian motion parameter, nanoparticle parameter, thermophoresis parameter, Hartmann number, Lewis number and pressure gradient parameters, slip, and temperature jump boundary conditions on thermo-solutal and hydromagnetic behavior of the nanofluid. is study will enhance and advance the understanding of nanofluidics such as energy conservation, friction reduction, and micromixing of biological samples.

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“…The squeezing flow viscous fluid flow between plates under unsteady condition was analyzed by Siddiqui et al [47]. Rashidi et al [28] explored analytical solutions to study unsteady squeezing flow between parallel plates. Khan and Aziz [20] presented a study on the flow of nanofluid between parallel plates due to natural convection.…”

Section: Introductionmentioning

confidence: 99%

Double diffusive magnetohydrodynamic squeezing flow of nanofluid between two parallel disks with slip and temperature jump boundary conditions

Sobamowo¹,

Akinshilo²

2017

ACM

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In this paper, double diffusive squeezing unsteady flow of electrically conducting nanofluid between two parallel disks under slip and temperature jump condition is analyzed using the homotopy perturbation method. The obtained solutions from the analysis are used to investigate the effects of the of Brownian motion parameter, thermophoresis parameter, Hartmann number, Lewis number and pressure gradient parameters, slip and temperature jump boundary conditions on the behavior of the nanofluid. Also, the results of the homotopy perturbation method are compared to the results in the literature and good agreements are established. This study is significant to the advancements of nanofluidics such as energy conservation, friction reduction and micro mixing biological samples.

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Analytic Approximate Solutions for Unsteady Two‐Dimensional and Axisymmetric Squeezing Flows between Parallel Plates

Cited by 123 publications

References 33 publications

Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting

Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting

Thermo-Magneto-Solutal Squeezing Flow of Nanofluid between Two Parallel Disks Embedded in a Porous Medium: Effects of Nanoparticle Geometry, Slip and Temperature Jump Conditions

Double diffusive magnetohydrodynamic squeezing flow of nanofluid between two parallel disks with slip and temperature jump boundary conditions

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