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Al-Hadhrami, Abdullah

doi:10.1023/a:1023557332542

Cited by 209 publications

(17 citation statements)

References 9 publications

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“…On the other hand, the model given by Al‐Hadhrami et al was inferred to be the effective model for the higher values of

D a_{m}

. Hence, in the present work,

S_{θ}

and

S_{ψ}

are obtained using the model given by Al‐Hadhrami et al The expressions of

S_{θ}

and

S_{ψ}

in the porous medium are written as follows:

S_{θ} = true[{(\frac{\partial θ}{\partial X})}^{2} + {(\frac{\partial θ}{\partial Y})}^{2} true]

and

S_{ψ} = ϕ true{true[U^{2} + V^{2} true] + D a_{m} true[2 true({(\frac{\partial U}{\partial X})}^{2} + {(\frac{\partial V}{\partial Y})}^{2} true) + {(\frac{\partial U}{\partial Y} + \frac{\partial V}{\partial X})}^{2} true] true}

where the irreversibility distribution ratio is denoted by

ϕ

, which is mathematically expressed as follows:

ϕ = \frac{μ_{f} T_{o}}{k_{e f f}} true(\frac{{\overset{true˜}{α}}_{e f f}^{2}}{K Δ T^{2}} true)

where

…”

Section: Mathematical Formulationmentioning

confidence: 88%

Thermal management investigation on fluid processing within porous rhombic cavities: Heatlines versus entropy generation

Das

Basak

2017

Can J Chem Eng

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The study of natural convection in rhombic enclosure has been a subject of interest in the recent past. In the current work, the effect of various shapes of the rhombic enclosure (w ¼ 458, 608, and 758) is investigated for fixed areas (A ¼ 0.5, 1, and 1.5) over an extensive range of parameters (Pr m ¼ 0.015 À 1000, Da m ¼ 10 À5 À 10 À2 , and Ra m ¼ 10 6 ) for an optimal thermal configuration. The rhombic enclosure is subjected to the isothermal heating of the bottom wall along with the cold side and top walls. The results are shown in the form of entropy generation maps (S u and S c ) along with the heatlines (P), streamlines (c), and isotherms (u). It is observed that S u decreases near the left wall whereas S u near the top and right walls increases with w, irrespective of A. A large regime near the bottom portion of the left wall and right portion of the bottom wall corresponds to the higher magnitude of S c and that extends over a wider region for the higher w. The results in terms of total entropy generation (S total ), average Bejan number (Be av ), and average Nusselt number (Nu b ) are compared with those within the square cavity (w ¼ 90 ). Overall, it may be concluded that the rhombic enclosure with w ¼ 45 at A ¼ 0.5 is the optimal configuration for the thermal processing of the fluids based on the moderate S total and Nu b .

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“…On the other hand, the model given by Al‐Hadhrami et al was inferred to be the effective model for the higher values of

D a_{m}

. Hence, in the present work,

S_{θ}

and

S_{ψ}

are obtained using the model given by Al‐Hadhrami et al The expressions of

S_{θ}

and

S_{ψ}

in the porous medium are written as follows:

S_{θ} = true[{(\frac{\partial θ}{\partial X})}^{2} + {(\frac{\partial θ}{\partial Y})}^{2} true]

and

S_{ψ} = ϕ true{true[U^{2} + V^{2} true] + D a_{m} true[2 true({(\frac{\partial U}{\partial X})}^{2} + {(\frac{\partial V}{\partial Y})}^{2} true) + {(\frac{\partial U}{\partial Y} + \frac{\partial V}{\partial X})}^{2} true] true}

where the irreversibility distribution ratio is denoted by

ϕ

, which is mathematically expressed as follows:

ϕ = \frac{μ_{f} T_{o}}{k_{e f f}} true(\frac{{\overset{true˜}{α}}_{e f f}^{2}}{K Δ T^{2}} true)

where

…”

Section: Mathematical Formulationmentioning

confidence: 88%

Thermal management investigation on fluid processing within porous rhombic cavities: Heatlines versus entropy generation

Das

Basak

2017

Can J Chem Eng

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“…The velocity gradient squared term represents viscous dissipation and is approximated by Àu m rp in porous media (Al-Hadhrami et al 2003). The Dp/Dt term represents the substantial derivative of pressure that arises in the enthalpy formulation of the energy equation.…”

Section: Conservation Ofmentioning

confidence: 99%

Impact of Reservoir Permeability on Flowing Sandface Temperatures: Dimensionless Analysis

App

Yoshioka

2013

SPE Journal

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Layer flow contributions are increasingly being quantified through the analysis of measured sandface flowing temperatures. It is commonly known that the maximum temperature change is affected by the magnitude of the drawdown and the Joule-Thomson expansion coefficient of the fluid. Another parameter that strongly impacts layer sandface flowing temperatures is the layer permeability. Aside from determining the drawdown, the layer permeability also affects the ratio of heat transfer by convection to conduction within a reservoir. The impact of permeability can be represented by the Péclet number, which is a dimensionless quantity representing the ratio of heat transfer by convection to conduction. The Péclet number is directly proportional to reservoir permeability. Through dimensionless analysis, it will be shown that for a given drawdown (based on a dimensionless Joule-Thomson expansion coefficient JT D ) the temperature change diminishes at low Péclet numbers and increases at high Péclet numbers. This implies that for low-permeability reservoirs such as shale gas or tight oil, the temperature changes will be minimal (less than 0.18F) despite the large drawdowns in many instances. Dimensionless analysis is performed for both steady-state and transient thermal models. Results from multilayer transient simulations illustrate the ability to identify contrasting permeability layers on the basis of the Péclet number effect.

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“…(13) an expression for the viscous dissipation in a clear fluid in the limit of porosity tending to unity.) Al-Hadhrami et al [99] prefer a form that remains positive and reduces to that for a fluid clear of solid material in the case where the Darcy number tends to infinity. Accordingly, they would add the usual clear fluid term to the Darcy and Forchheimer terms.…”

Section: Viscous Dissipationmentioning

confidence: 99%

An Historical and Topical Note on Convection in Porous Media

Nield

Кузнецов

2013

Journal of Heat Transfer

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This note deals with three main themes. The first is a discussion of the early literature on convection in porous media. The second is a brief overview of current analytical modeling of single-phase convection in saturated porous media and in composite fluid/ porous-medium domains. The third is a brief discussion of some pertinent recent studies involving nanofluids, cellular porous materials, bidisperse and tridisperse porous media.

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Cited by 209 publications

References 9 publications

Thermal management investigation on fluid processing within porous rhombic cavities: Heatlines versus entropy generation

Thermal management investigation on fluid processing within porous rhombic cavities: Heatlines versus entropy generation

Impact of Reservoir Permeability on Flowing Sandface Temperatures: Dimensionless Analysis

An Historical and Topical Note on Convection in Porous Media

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