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Analysis of non-Darcy fluid flow in and around porous medium by the effects of its properties on body wake parameters

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Abstract

This study aims to perform a numerical and experimental investigation on the effect of fluid flow parameters on the external and internal flow in a porous medium. The study of velocity distribution, pressure coefficient, and effects of fluid flow properties is performed inside and around the porous medium. The developed Brinkman method is used for fluid flow in the numerical method and a wind tunnel is applied for experimental data. The numerical study is performed for different values of porosity and permeability. The present study used the hot wire flow meter method for the experimental method and the finite element method based on lower–upper factorization by multifrontal massively parallel sparse direct solver for the numerical solution. The velocity profile variations at a given station and the pressure coefficient parameter are compared between the experimental and numerical results under similar conditions. The validation of the velocity profile, the pressure coefficient parameter and normalized temperature show a 16%, 8.2% and 3% difference between the experimental data and numerical results, respectively. The analysis has revealed that as the porosity increases, the maximum value of the pressure coefficient increases. Hence, the difference between the minimum and maximum values is 0.29 in the x-direction and 0.42 in the y-direction. In addition, as the permeability increases, the maximum value of the pressure coefficient increases so that the difference between the minimum and maximum values is equal to 0.93 in the x-direction and 1.2 in the y-direction. By distancing from the profile media, the speed becomes wider in a way that at a distance of 66 cm, the half-width parameter of the profile is equal to 0.334, and this is directly related to decreasing permeability and increasing porosity.

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Data availability

Data will be made available on the reasonable request.

Abbreviations

p :

Pressure (kg m−1s−2)

u :

x-Velocity (m s−1)

v :

y-Velocity (m s−1)

T :

Temperature (K)

c p :

Pressure coefficient

l :

Length (mm)

h :

Height (mm)

w :

Width

K :

Permeability (m2)

Re:

Reynolds number

d :

Distance (mm)

ρ :

Density (kg m−3)

µ :

Dynamic viscosity (kg m−1s−1)

ε :

Porosity

f :

Fluid

w :

Wall

in:

Inlet

out:

Outlet

eff:

Effective

Al:

Aluminum

Ref:

Standard

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Authors and Affiliations

  1. Center of Computational Energy, Department of Mechanical Engineering, Hakim Sabzevari University, Sabzevar, Iran

    Mojtaba Rezapour, A. B. Khoshnevis & Mahdi Deymi-Dashtebayaz

Authors
  1. Mojtaba Rezapour
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  2. A. B. Khoshnevis
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  3. Mahdi Deymi-Dashtebayaz
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Correspondence to Mahdi Deymi-Dashtebayaz.

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Rezapour, M., Khoshnevis, A.B. & Deymi-Dashtebayaz, M. Analysis of non-Darcy fluid flow in and around porous medium by the effects of its properties on body wake parameters. J Braz. Soc. Mech. Sci. Eng. 46, 317 (2024). https://doi.org/10.1007/s40430-024-04886-y

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