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Wyszukujesz frazę "Stokes law" wg kryterium: Temat


Wyświetlanie 1-5 z 5
Tytuł:
Magnetohydrodynamic effect on axisymmetric Stokes flow past a weakly permeable spheroid with a solid core
Autorzy:
Prasad, M. K.
Bucha, T.
Powiązania:
https://bibliotekanauki.pl/articles/38627950.pdf
Data publikacji:
2021
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
spheroid
MHD effect
modified Stokes law
modified Darcy’s law
BJSJ condition
drag
Opis:
The current research is focused on the creeping motion of fluid past a permeable spheroidal particle that has an impermeable core under the magnetic forces. Motion in the permeable zone is proposed to be regulated by Darcy’s law. At the fluid-porous interface, the continuity of the normal velocity component is assumed together with the balance of pressure with normal stresses and the Beavers–Joseph–Saffman–Jones (BJSJ) slip boundary condition. Vanishing of the normal component of velocity is used at the surface of the impermeable core. The drag on the spheroidal particle is obtained in an analytical form. The reliability of the drag coefficient on significant physical parameters such as permeability, non-sphericity parameter, Hartmann numbers, separation parameter (the measure of closeness between the porous particle and the core), and slip parameters is examined. Comparisons of results are made with the cases having no magnetic effect and show that the applied magnetic field possesses the ability to reduce the rate of flow of fluid. Well-known previously published results are deduced from the current analysis.
Źródło:
Archives of Mechanics; 2021, 73, 5-6; 599-633
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of the dynamic viscosity coefficient of the Stokes viscometer – construction of a measuring set in the Physical Laboratory of the State Higher Vocational School in Tarnów
Autorzy:
Wietecha, Tomasz
Kurzydło, Piotr M.
Powiązania:
https://bibliotekanauki.pl/articles/93186.pdf
Data publikacji:
2019
Wydawca:
Państwowa Wyższa Szkoła Zawodowa w Tarnowie
Tematy:
viscosity
Stokes’ law
density measurement
didactic experiment
lepkość
prawo Stokesa
pomiar gęstości
eksperyment dydaktyczny
Opis:
A Stokes viscometer made and launched by the authors in the Physical Laboratory of the State Higher Vocational School in Tarnów was presented. The construction of the viscometer is discussed and the theoretical description of the physical phenomena occurring there is given. The results of measurements on the device, statistical analysis of the measurement uncertainties and confrontation with the literature value are presented - the obtained results correspond very well to the literature values. A possible further development in the accuracy of theoretical description and experimental measurements related to the ellipsoid analysis of the shape of water droplets was suggested. The didactic aspects of the new experiment in the context of the understanding of molecular physics, especially by students of material engineering, were discussed.
Źródło:
Science, Technology and Innovation; 2019, 5, 2; 60-65
2544-9125
Pojawia się w:
Science, Technology and Innovation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Slow flow past a weakly permeable spheroidal particle in a hypothetical cell
Autorzy:
Bucha, Tina
Madasu, Krishna Prasad
Powiązania:
https://bibliotekanauki.pl/articles/1845038.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
permeable spheroid
cell model
Stokes law
Darcy’s law
BJSJ condition
sferoida przepuszczalna
model komórki
prawo Stokesa
prawo Darcy'ego
warunek BJSJ
Opis:
The perspective of the current analysis is to represent the incompressible viscous flow past a low permeable spheroid contained in a fictitious spheroidal cell. Stokes approximation and Darcy’s equation are adopted to govern the flow in the fluid and permeable zone, respectively. Happel’s and Kuwabara’s cell models are employed as the boundary conditions at the cell surface. At the fluid porous interface, we suppose the conditions of conservation of mass, balancing of pressure component at the permeable area with the normal stresses in the liquid area, and the slip condition, known as Beavers-Joseph-Saffman-Jones condition to be well suitable. A closed-form analytical expression for hydrodynamic drag on the bounded spheroidal particle is determined and therefore, mobility of the particle is also calculated, for both the case of a prolate as well as an oblate spheroid. Several graphs and tables are plotted to observe the dependence of normalized mobility on pertinent parameters including permeability, deformation, the volume fraction of the particle, slip parameter, and the aspect ratio. Significant results that influence the impact of the above parameters in the problem have been pointed out. Our work is validated by referring to previous results available in literature as reduction cases.
Źródło:
Archive of Mechanical Engineering; 2021, LXVIII, 2; 119-146
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heuristic derivation of Brinkmans seepage equation
Autorzy:
Wojnar, R.
Powiązania:
https://bibliotekanauki.pl/articles/297997.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Warmińsko-Mazurski w Olsztynie
Tematy:
porosity
Darcy’s law
Stokes’ equation
successive iterations
Born’s approximation
Opis:
Brinkman’s law is describing the seepage of viscous fluid through a porous medium and is more acurate than the classical Darcy’s law. Namely, Brinkman’s law permits to conform the flow through a porous medium to the free Stokes’ flow. However, Brinkman’s law, similarly as Schro¨dinger’s equation was only devined. Fluid in its motion through a porous solid is interacting at every point with the walls of pores, but the interactions of the fluid particles inside pores are different than the interactions at the walls, and are described by Stokes’ equation. Here, we arrive at Brinkman’s law from Stokes’ flow equation making use of successive iterations, in type of Born’s approximation method, and using Darcy’s law as a zero-th approximation.
Źródło:
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2017, 20(4); 359-374
1505-4675
2083-4527
Pojawia się w:
Technical Sciences / University of Warmia and Mazury in Olsztyn
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Laminar flow past the bottom with obstacles - a porous medium approximation
Autorzy:
Bielski, Włodzimierz
Wojnar, Ryszard
Powiązania:
https://bibliotekanauki.pl/articles/2104770.pdf
Data publikacji:
2022
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
plants
permeability
gravity-driven flow
Darcy-Brinkman’s law
Stokes equation
Opis:
We provide a model of a stationary laminar flow in a channel at the bottom of which plants grow in a dense layer. Since this layer of plants is dense, we treat it as a porous medium and we propose to describe the flow in such a medium by Brinkman’s equation. The flow in the fluid layer located above (infiltrated by water) the layers of plants is described by the Stokes equation. We show that such a model gives results consistent with experimental observations. We indicate also that this new model complements the previously given model in which the benthonic plants were considered as a suspension, so the previous model referred to the channel at the bottom of which the plants grew rare. For high permeability of the porous medium, we arrive at the results obtained for the medium filled with a liquid with a suspension.
Źródło:
Journal of Theoretical and Applied Mechanics; 2022, 60, 3; 509--520
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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