Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls

Fakour, M.; Vahabzadeh, A.; Ganji, D. D.; Hatami, M.

doi:10.1016/j.molliq.2015.01.040

Cited by 144 publications

(44 citation statements)

References 17 publications

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“…The results show that the mean buoyancy gradient and the vertical velocity fluctuation evolve toward the corresponding power laws predicted by the similarity theory. Additionally, analytical studies have been performed on a variety of projects related such as heat channels [11], heat sinks [14], fins in a heat exchanger [15] [16], a heated rotating disk [17], and direct absorber solar collector [19].…”

Section: Figure 1 Hot Surface Flow Mechanismmentioning

confidence: 99%

The fluid thermal field over a flat heated disk

Landers¹,

Disimile²,

Toy³

2017

IJHT

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Numerous fires in the aviation community are typically initiated and sustained when a flammable fluid leaks onto a heated surface sometimes resulting in a catastrophic event. Due to the complex fluid thermal nature of these phenomena a two-prong effort was undertaken. Within this phase of the effort the focus is to provide insight into the fluid dynamic and thermal nature of a flow field induced by a heated surface. To this end the current work discusses the temperature and velocity fields immediately above a circular flat plate 20 cm diameter and which was heated to temperatures between 150 ℃ and 550 ℃. Both Schlieren and laser light sheet methodologies had been used to acquire data for qualitative and quantitative examination of the flow field. It has been found that the streamlines referred to as collision lines which emanate from the edge of the plate point radially inward towards the plates center. These lines connect and form cellular structures adjacent to the plates' surface. These cell-like structures appear to be reminiscent of Rayleigh Bernard type cells of either 5 or 6 sided constructions. In addition, at certain surface temperatures, pool boiling of the fluid is initiated; however, at even higher temperatures film boiling typically occurs which is thought to lead to ignition and flame propagation. The results concluded that as the distance increases from the plate the velocity of the vortical structures increases while the temperature decreases.

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Section: Figure 1 Hot Surface Flow Mechanismmentioning

confidence: 99%

The fluid thermal field over a flat heated disk

Landers¹,

Disimile²,

Toy³

2017

IJHT

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“…More works on parametric studies of the ow process can be found in [26][27][28][29][30][31][32][33][34]. Additionally, analyses of magnetohydrodynamic ow in the porous medium have been presented in various works [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50] while various studies of magneto-nano uid ow have also been presented in the past works [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68].…”

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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“…These are fluids with certain amount of metal nanoparticles in them, to which researchers have increasingly grown interest regarding their potential use for heat transfer without inducing significant drop in the pressure [8][9][10][11][12][13][14]. Milani Shirvan et al [8][9][10] simulated the nanofluid heat transfer in pipe, heat exchangers aand solar cavities using finite volume method (FVM).…”

Section: Introductionmentioning

confidence: 99%

Different shapes of Fe3O4 nanoparticles on the free convection and entropy generation in a wavy-wall square cavity filled by power-law non-Newtonian nanofluid

Hatami¹

2018

IJHT

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The goal of this paper is to investigate the influences of Nanoparticles volume fraction, Nanoparticles shape, amplitude and wavelength of wavy surface, Hartmann number and the Angle of magnetic field on the Nusselt number, Bejan number and the entropy generation rate in a wavy wall cavity, numerically. The nanoparticles are considered Fe3O4 which are magnetic in presence of magnetic and the base fluid is considered as a power-law non-Newtonian nanofluid which its density variation is approximated by the standard Boussinesq model. The wavy wall is maintained in low temperatures while the right wall has high temperature and up/down walls is insulated. The problem is solved by finite element method using FlexPDE commercial code and found that the highest average Nusselt number is observed for the Nanofluid with brick shaped particles; however, the Nanofluid with spherical shaped particles is found to have the lowest Nusselt. Furthermore, Minimum and maximum Bejan numbers were observed for brick and spherical nanoparticles, respectively.

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Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls

Cited by 144 publications

References 17 publications

The fluid thermal field over a flat heated disk

The fluid thermal field over a flat heated disk

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

Different shapes of Fe3O4 nanoparticles on the free convection and entropy generation in a wavy-wall square cavity filled by power-law non-Newtonian nanofluid

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