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1

Numerical solution of MHD channel flow in a porous medium with uniform suction and injection in the presence of an inclined magnetic field

Chutia Muhim

Journal of Applied Mathematics and Computational Mechanics

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2022

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Vol. 21, nr 2

5--13

EN

In this paper, the steady fully developed MHD flow of a viscous incompressible electrically conducting fluid through a channel filled with a porous medium and bounded by two infinite walls is investigated numerically for the cases (i) Poiseuille flow and (ii) Couette-Poiseuille flow; with uniform suction and injection at the walls in the presence of an inclined magnetic field. The Brinkman equation is used for the flow in the porous channel and solved numerically using the finite difference method. Numerical results are obtained for velocity. The effects of various dimensionless parameters such as Hartmann number (M), suction/injection parameter (S), permeability parameter (α) and angle of inclination (θ) on the flow are discussed and presented graphically.

2

Effects of the control parameters on the stability of a laminar boundary layer on a porous flat plate

Lihonou T. F., Monwanou A. V., Miwadinou C. H., Chabi Orou J. B.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 4

113--127

EN

This work is devoted to the analysis of the linear temporal stability of a laminar dynamic boundary layer on a horizontal porous plane plate. The basic flow is assumed to be laminar and two-dimensional. The basic flow velocity profiles are obtained by numerically solving the Blasius equation using the Runge-Kutta method. The perturbations of these basic solutions are expressed in the form of three-dimensional Tollmien-Schlichting waves. The formulation of the stability problem leads to the Orr-Sommerfeld equation modified by the permeability parameter (Darcy number) and the small Reynolds number. This equation is given in a general form which can be applied to the Chebyshev domain and the boundary layer domain and solved numerically using the Chebyshev spectral collocation method. The marginal stability diagrams, the critical Reynolds numbers and the eigenvalue spectra are obtained for different values of the parameters which have modified the stability equation. Numerical solutions indicate the importance of the effect of these parameters on the flow stability characteristics.

3

Metody badań właściwości filtracyjnych geosyntetyków

Gniwek A., Gawryluk A.

Prace Instytutu Techniki Budowlanej

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2011

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R. 40, nr 1

15-28

PL

Prawidłowe wykorzystanie geosyntetyków wymaga znajomości ich właściwości fizycznych, mechanicznych i hydraulicznych. W artykule omówiono wybrane metody badawcze pozwalające na określenie parametrów filtracyjnych oraz przedstawiono wyniki badań przeprowadzonych w Laboratorium Badań Podłoża Budowlanego Zakładu Geotechniki i Fundamentowania ITB.

EN

Reinforcement of the soil by means of geosynthetics is a common method. It is based on permeability and strength parameters given by a manufacturer. Designer makes a decision on the basis of these data, if (or) particular geosynthetics can be used and if it is successful. This paper is discussing different methods for determination of permeability parameters as well as is presenting test results conducted in the LG (Laboratory of Soils) laboratory of the Geotechnical and Fundamentation Department.

4

Dependence of adsorption/diffusion processes in porous media on bulk and surface permeabilities

Albers B.

Archives of Mechanics

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2001

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Vol. 53, nr 4-5

289-306

EN

The paper contains a macroscopic continuum model for adsorption in porous materials (B. Albers [1, 2]) which is an extension of the model for porous bodies by K. Wilmański [7] on mass exchange processes. We consider the flow of a fluid/adsorbate mixture through channels of a solid component. The fluid serves as carrier for an adsorbate whose mass balance equation contains a source term. Due to low adsorbate concentration we deal with a physical adsorption process which means that particles of the adsorbate stick to the skeleton due to weak van der Waals forces. The model contains two different permeability parameters whose nature is completely different: The first one, the usual bulk permeability coefficient, describes the resistance of the skeleton to the flow of the fluid/adsorbate mixture. The second one describes the surface resistance to the outflow of the mixture from the solid. This work shows within a simple example the range of these parameters and the dependence of adsorption/diffusion on them.