Analysis of Variable Porosity, Thermal Dispersion, and Local Thermal Nonequilibrium on Free Surface Flows Through Porous Media

Al-Azmi, Bader; Vafai, Kambiz

doi:10.1115/1.1723470

Cited by 74 publications

(23 citation statements)

References 18 publications

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“…This is in line with Al-Azmi and Vafai (2004) who suggested that thermal dispersion effects can be neglected for high solid-to-fluid thermal conductivity ratios.…”

Section: Heat Transfer Aspectssupporting

confidence: 87%

A theoretical analysis of forced convection in a porous-saturated circular tube: Brinkman–Forchheimer model

Hooman

Gurgenci

2006

Transp Porous Med

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Fully developed forced convection inside a circular tube filled with saturated porous medium and with uniform heat flux at the wall is investigated on the basis of a Brinkman-Forchheimer model. The matched asymptotic expansion method is applied at small Darcy numbers. For large Darcy numbers, the solution for the Brinkman-Forchheimer momentum equation is found in terms of an asymptotic expansion. Once the velocity distribution is determined, the energy equation is solved using the same asymptotic technique. The results for the two limiting cases of clear fluid and Darcy flow conditions show good agreement with those available in the literature.

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“…This is in line with Al-Azmi and Vafai (2004) who suggested that thermal dispersion effects can be neglected for high solid-to-fluid thermal conductivity ratios.…”

Section: Heat Transfer Aspectssupporting

confidence: 87%

A theoretical analysis of forced convection in a porous-saturated circular tube: Brinkman–Forchheimer model

Hooman

Gurgenci

2006

Transp Porous Med

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“…Applications of porous media heat transfer subject to lack of local thermal equilibrium (LaLotheq) were undertaken among others by Nield [1], Nield [2], Minkowycz et al [3], Nield and Kuznetsov [4,5], Nield et al [6], Banu and Rees [7], Baytas and Pop [8], Alazmi and Vafai [9,10], Kim and Jang [11], Rees [12], Straughan [13], Malashetty et al [14] and Vadasz [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Basic natural convection in a vertical porous layer differentially heated from its sidewalls subject to lack of local thermal equilibrium

Vadász

2011

International Journal of Heat and Mass Transfer

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“…It has been shown by Alazmi and Vafai 27,28 that the porosity depending upon the normal distance from the boundary is:…”

Section: Aip Advances 5 077104 (2015)mentioning

confidence: 99%

MHD peristaltic transport of spherical and cylindrical magneto-nanoparticles suspended in water

et al. 2015

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Advancements in the biomedical engineering have enhanced the usage of magnto-nanoparticles in improving the precision and efficiency of the magneto-drug delivery systems. Such systems make use of the externally applied magnetic fields to direct the drug towards a specific target in the human body. Peristalsis of magneto-nanofluids is of significant importance in such considerations. Hence peristaltic transport of Fe3O4-water nanofluid through a two-dimensional symmetric channel is analyzed in the presence of an externally applied constant magnetic field. Hamilton-Crosser’s model of the thermal conductivity is utilized in the problem development. The nanofluid saturates a non-uniform porous medium in which the porosity of the porous medium varies with the distance from the channel walls. Analysis is performed for the spherical and the cylindrical nanoparticles. Resulting system of equations is numerically solved. Impacts of sundry parameters on the axial velocity, temperature, pressure gradient and heat transfer rate at the boundary are examined. Comparison between the results for spherical and cylindrical nanoparticles is also presented. Results show that the nanoparticles volume fraction and the Hartman number have increasing effect on the pressure gradient throughout the peristaltic tract. Effective heat transfer rate at the boundary tends to enhance with an increase in the nanoparticles volume fraction. Use of spherical nanoparticles results in a higher value of axial velocity and the temperature at the center of channel when compared with the case of cylindrical nanoparticles.

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Analysis of Variable Porosity, Thermal Dispersion, and Local Thermal Nonequilibrium on Free Surface Flows Through Porous Media

Cited by 74 publications

References 18 publications

A theoretical analysis of forced convection in a porous-saturated circular tube: Brinkman–Forchheimer model

A theoretical analysis of forced convection in a porous-saturated circular tube: Brinkman–Forchheimer model

Basic natural convection in a vertical porous layer differentially heated from its sidewalls subject to lack of local thermal equilibrium

MHD peristaltic transport of spherical and cylindrical magneto-nanoparticles suspended in water

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