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Tytuł:
Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis
Autorzy:
Shaikh, Fozia
Shaikh, Asif Ali
Hincal, Evren
Qureshi, Sania
Powiązania:
https://bibliotekanauki.pl/articles/24201504.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
incompressible
isothermal
blood flow
stenosis
finite element method
izotermiczność
przepływ krwi
zwężenie
metoda elementów skończonych
Opis:
A mathematical model is developed to study the characteristics of blood flowing through an arterial segment in the presence of a single and a couple of stenoses. The governing equations accompanied by an appropriate choice of initial and boundary conditions are solved numerically by Taylor Galerkin’s time-stepping equation, and the numerical stability is checked. The pressure, velocity, and stream functions have been solved by Cholesky’s method. Furthermore, an in-depth study of the flow pattern reveals the separation of Reynolds number for the 30 and 50% blockage of single stenosis and 30% blockage of multi-stenosis. The present results predict the excess pressure drop across the stenosis site than it does for the inlet of the artery with single and multiple stenosis and the increase in the velocity is observed at the center of the artery.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 49--61
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Near-resonant regimes of a moving load on a pre-stressed incompressible elastic half-space
Autorzy:
Kudaibergenov, Askar
Kudaibergenov, Askat
Prikazchikov, Danila
Powiązania:
https://bibliotekanauki.pl/articles/1837943.pdf
Data publikacji:
2021
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
moving load
incompressible
pre-stress
asymptotic
Opis:
The article is concerned with the analysis of the problem for a concentrated line load moving at a constant speed along the surface of a pre-stressed, incompressible, isotropic elastic half-space, within the framework of the plane-strain assumption. The focus is on the near-critical regimes, when the speed of the load is close to that of the surface wave. Both steady-state and transient regimes are considered. Implementation of the hyperbolic–elliptic asymptotic formulation for the surface wave field allows explicit approximate solution for displacement components expressed in terms of the elementary functions, highlighting the resonant nature of the surface wave. Numerical illustrations of the solutions are presented for several material models.
Źródło:
Acta Mechanica et Automatica; 2021, 15, 1; 30-36
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization
Autorzy:
Kazhikenova, Saule Sh.
Powiązania:
https://bibliotekanauki.pl/articles/1409389.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Navier-Stockes equations
hydrodynamic
approximations
mathematical models
incompressible melt
Opis:
The article presents ε-approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution. It was proved by a theorem on the existence of uniqueness of the hydrodynamics equations’ temperature model’s solution, taking into account energy dissipation. There was implemented the Galerkin method to study the Navier-Stokes equations, which provides the study of the boundary value problems correctness for an incompressible viscous flow both numerically and analytically. Approximations of stationary and non-stationary models of the hydrodynamics equations were constructed by a system of Cauchy-Kovalevsky equations with a small parameter ε. There was developed an algorithm for numerical modelling of the Navier-Stokes equations by the finite difference method.
Źródło:
Archives of Control Sciences; 2021, 31, 2; 307-332
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical simulation of channel flow over a skewed equilateral cavity
Autorzy:
Kamel, Abanoub G.
Haraz, Eman H.
Hanna, Sarwat N.
Powiązania:
https://bibliotekanauki.pl/articles/1839759.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
finite difference method
incompressible flow
channel flow
lid-driven
shear-driven
skewed cavity
Navier-Stokes equations
równanie Naviera-Stokesa
przepływ nieściśliwy
metoda różnic skończonych
przepływ kanałowy
Opis:
In this paper, an incompressible, two-dimensional (2D), time-dependent, Newtonian, laminar, and internal channel fluid flow over a skewed equilateral cavity is simulated using the finite difference method (FDM) and alternating direction implicit (ADI) technique. Navier-Stokes equations are solved numerically in stream function-vorticity formulation. The goal of tackling this problem depends on its academic significance by studying the difference between lid-driven and shear-driven cavity flows in terms of the formation of Moffatt eddies at the sharp corner, also to obtain the length and intensity ratios of these counter-rotating vortices. The value of velocity components along the centerlines of the skewed cavity was revealed at low and intermediate Reynolds numbers (Re), typically (Re = 200 and 2000) at two different skew angles of mainly 30° and 45°. Likewise, the blocked-off regions’ method is used to deal with the geometry of the skewed cavity especially the sharp corners. Furthermore, as Re increases, the main vortex approaches the skewed cavity center and the counter-rotating vortices get bigger in size and intensity, and their number increases.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 29-43
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Homotopy simulation of non-Newtonian Spriggs fluid flow over a flat plate with oscillating motion
Autorzy:
Ray, A. K.
Vasu, B.
Gorla, R. S. R.
Powiązania:
https://bibliotekanauki.pl/articles/265238.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przepływ nieściśliwy
przepływy Stokes'a
płyn nienewtonowski
incompressible flow
oscillatory plate
Stokes second problem
HAM
non-Newtonian Spriggs fluid
Opis:
An incompressible flow of a non-Newtonian Spriggs fluid over an unsteady oscillating plate is investigated using the Homotopy Analysis Method (HAM). An analytic solution of sine and cosine oscillations of the plate has been obtained. The similarity transformation is introduced to reduce the governing partial differentia equations into a single non-linear dimensionless partial differential equation. The effects of the power index of Spriggs fluid and convergence control parameter of HAM for the flow are studied extensively. The range of the convergence control parameter for convergence of series solution for different values of the power index of Spriggs fluid is obtained. The solution for a Spriggs fluid is noticeably different from the solution obtained for a Newtonian fluid. The influences of the shear thinning and shear thickening fluid on the velocity profile are shown graphically. The transient flow effect is higher for non-Newtonian Spriggs fluid than that of a Newtonian fluid. It is also observed that the interval to reach the steady state for the cosine case is less than the sine case. The applications of Stokes’ second problem have been widely found in the variety of fields of biomedical, medical, chemical, micro and nanotechnology.
Źródło:
International Journal of Applied Mechanics and Engineering; 2019, 24, 2; 359-385
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Space-time Taylor-Hood elements for incompressible flows
Czaso-przestrzenne elementy Tylora- Hooda dla nieściśliwych przepływów
Autorzy:
Pacheco, Douglas R. Q
Steinbach, Olaf
Powiązania:
https://bibliotekanauki.pl/articles/29520293.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
computational fluid dynamics
finite element method
space-time methods
incompressible flows
stable finite elements
obliczeniowa dynamika płynów
metoda elementów skończonych
metody czasoprzestrzenne
przepływy nieściśliwe
stabilna metoda elementów skończonych
Opis:
Space-time variational methods differ from time-stepping schemes by discretising the whole space-time domain with finite elements. This offers a natural framework for flow problems in moving domains and allows simultaneous parallelisation and adaptivity in space and time. For incompressible flows, the usual approach is to employ the same polynomial order for velocity and pressure, which requires the use of stabilisation techniques to compensate for the inf-sup deficiency of such pairs. In the present work, we extend to the space-time formulation the idea of the popular Taylor-Hood element for the (Navier-)Stokes equations. By using quadratic interpolation for velocity and linear for the pressure, in both space and time, we attain a stable finite element method which provides optimal convergence for pressure, velocity and stresses.
Przestrzenno-czasowe metody wariacyjne wymagają dyskretyzacji metodą elementów skończonych całej domeny przestrzenno czasowej i tym różnią się od metod wykorzystującej schematy kroków czasowych. To podejście dostarcza naturalnych struktur dla problemów przepływu w poruszających się obszarach i pozwala na równoczesne zrównoleglanie i adaptację zarówno w przestrzeni jak i w czasie. Typowym rozwiązaniem dla przepływów nieściśliwych jest zastosowanie tego samego stopnia wielomianu dla prędkości i ciśnienia, co wymaga wprowadzenia metod stabilizacji w celu skompensowania niedoboru infimum-supremum takich par. W niniejszej pracy rozszerzono sformułowanie przestrzenno czasowe o ideę elementu Taylora-Hooda dla równań (Naviera-)Stokesa. Poprzez zastosowanie kwadratowej interpolacji dla prędkości i liniowej interpolacji dla ciśnienia, zarówno w przstrzeni jak i w czasie, uzyskano stabilną metodę elementów skończonych dającą optymalną zbieżność dla ciśnienia, prędkości i naprężeń.
Źródło:
Computer Methods in Materials Science; 2019, 19, 2; 64-69
2720-4081
2720-3948
Pojawia się w:
Computer Methods in Materials Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Magnetohydrodynamic flow of viscous fluid in a slot between fixed surfaces of revolution
Autorzy:
Sawicki, J.
Powiązania:
https://bibliotekanauki.pl/articles/260433.pdf
Data publikacji:
2017
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
laminar flow
incompressible magnetohydrodynamic flow
method of perturbation
Opis:
The paper considers stationary magnetohydrodynamic flow of viscous fluid in the slot between fixed curvilinear surfaces of revolution exposed to azimuthal magnetic field. To solve the problem, the equations of boundary layer in the curvilinear coordinate system. x,θ,y , were applied. The equations of the boundary layer were solved analytically with the use of the small-parameter method. The formulas determine the field of velocity and pressure.
Źródło:
Polish Maritime Research; 2017, 3; 78-85
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pressure stabilized finite elements simulation for steady and unsteady Newtonian fluids
Autorzy:
Elhanafy, A.
Guaily, A.
Elsaid, A.
Powiązania:
https://bibliotekanauki.pl/articles/122595.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
unsteady incompressible viscous flow
pressure stabilization technique
equal low-order finite elements
Galerkin least squares
przepływ lepki
stabilizacja ciśnienia
Opis:
A numerical simulation of an incompressible viscous flow using the finite element method is presented. In this study, the pressure stabilization technique is suggested for the treatment of the incompressibility constraint for both steady and unsteady flow cases. To the best of the authors’ knowledge, the pressure stabilization technique is used for steady flows only. The proposed technique allows for equal low-order interpolation polynomials to be used for all variables which circumvent the so-called LBB compatibility condition without pressure checker boarding and solution instabilities. Results are obtained for two benchmark problems, namely, lid-driven cavity flow and the vortex-shedding behind a circular cylinder. The results are compared with published numerical and experimental works with an apparent degree of success.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 17-26
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A dynamically adaptive lattice Boltzmann method for thermal convection problems
Autorzy:
Feldhusen, K.
Deiterding, R.
Wagner, C.
Powiązania:
https://bibliotekanauki.pl/articles/331394.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
lattice Boltzmann method
adaptive mesh refinement
thermal convection
incompressible
metoda siatkowa Boltzmanna
adaptacyjne zagęszczanie siatki
konwekcja termiczna
Opis:
Utilizing the Boussinesq approximation, a double-population incompressible thermal lattice Boltzmann method (LBM) for forced and natural convection in two and three space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement (AMR) procedure tailored for the LBM is applied to enable computationally efficient simulations of moderate to high Rayleigh number flows which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The objective of the latter is to advance the boundary conditions for an accurate treatment of curved boundaries and to demonstrate the effect on the solution. The effectiveness of the overall approach is demonstrated for the natural convection benchmark of a 2D cavity with differentially heated walls at Rayleigh numbers from 103 up to 108. To demonstrate the benefit of the employed AMR procedure for three-dimensional (3D) problems, results from the natural convection in a cubic cavity at Rayleigh numbers from 103 up to 105 are compared with benchmark results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 4; 735-747
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ferromagnetic flow of viscous fluid in a slot between fixed surfaces of revolution
Autorzy:
Sawicki, J.
Powiązania:
https://bibliotekanauki.pl/articles/260429.pdf
Data publikacji:
2016
Wydawca:
Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Tematy:
laminar flow
incompressible ferromagnetic fluid
method of perturbation
Opis:
In this paper the steady laminar flow of viscous incompressible ferromagnetic fluid is considered in a slot between fixed surfaces of revolution having a common axis of symmetry. The boundary layer ferromagnetic equations for axial symmetry are expressed in terms of the intrinsic curvilinear orthogonal coordinate system x, θ ,y.The method of perturbation is used to solve the boundary layer equations. As a result, the formulae defining such parameters of the flow as the velocity components vx, vy, and the pressure , were obtained.
Źródło:
Polish Maritime Research; 2016, 4; 99-104
1233-2585
Pojawia się w:
Polish Maritime Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation systems from hyper-deforms elements
Autorzy:
Żach, P.
Powiązania:
https://bibliotekanauki.pl/articles/241526.pdf
Data publikacji:
2015
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
elastomers
incompressible materials
oscillation
very large reversible deformation
Opis:
In construction of machines more and more often are used materials called hyper-elastic, for example: foam structures, materials based on natural and synthetic rubbers and other materials subjecting large deformations. The porous structures are produced on the basis of different synthetic materials, thermoplastic polymers and thermosetting. Subject of porous materials is studied by many scientists around the world. Porous materials (also called cellular plastics, foam plastics or foamed plastics) include gas phase dispersed in a solid phase of polymeric material. Properties of such systems depends on the properties of the polymer warp and cell structure, comprising the gas phase. Approach previously used to anticipate and interpreting the behaviour of the hyper-deformable structures, which use the theory of hyperelastic materials, does not resolve the issue because it only describes the elastic properties. The article presents an original methodology developed structural identification the viscoelastic properties of hyperdeformable materials, and in particular modern construction materials from the group of plastics and composites of elastomers, foams, etc. The aim of the article was an oscillation analysis in systems from elements of incompressible and the description of phenomena setting in during of work of suchlike systems.
Źródło:
Journal of KONES; 2015, 22, 4; 335-341
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Incompressible SPH Model for Simulating Violent Free-Surface Fluid Flows
Autorzy:
Staroszczyk, R.
Powiązania:
https://bibliotekanauki.pl/articles/241132.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
gravity water wave
free surface
incompressible flow
Lagrangian description
smoothed particle hydrodynamics
Opis:
In this paper the problem of transient gravitational wave propagation in a viscous incompressible fluid is considered, with a focus on flows with fast-moving free surfaces. The governing equations of the problem are solved by the smoothed particle hydrodynamics method (SPH). In order to impose the incompressibility constraint on the fluid motion, the so-called projection method is applied in which the discrete SPH equations are integrated in time by using a fractional-step technique. Numerical performance of the proposed model has been assessed by comparing its results with experimental data and with results obtained by a standard (weakly compressible) version of the SPH approach. For this purpose, a plane dam-break flow problem is simulated, in order to investigate the formation and propagation of a wave generated by a sudden collapse of a water column initially contained in a rectangular tank, as well as the impact of such a wave on a rigid vertical wall. The results of simulations show the evolution of the free surface of water, the variation of velocity and pressure fields in the fluid, and the time history of pressures exerted by an impacting wave on a wall.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2014, 61, 1-2; 61-83
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical Modeling and Numerical Analysis of Nonstationary Plane-Parallel Flows of Viscous Incompressible Fluid by R-Functions and Galerkin Method
Autorzy:
Artyukh, A.
Sidorov, M.
Powiązania:
https://bibliotekanauki.pl/articles/411247.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
nonstationary flow
incompressible fluid
stream function
method of successive approximation
R-functions method
Galerkin method
Opis:
This paper is dedicated to nonstationary plane-parallel flows of viscous incompressible fluid in finite simply connected domains. Theorem of the solution uniqueness is presented. The method of successive approximation, the Galerkin method and the R-functions method are used to obtain the numerical solution, which was tested on the problem with known solution.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 3-11
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Analysis of the Problem of Flow Past a Cylindrical Body Applying the R-Functions Method and The Galerkin Method
Autorzy:
Lamtyugova, S.N.
Sidorov, M. V.
Powiązania:
https://bibliotekanauki.pl/articles/410652.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
viscous incompressible fluid
flow problem
R-functions method
Galerkin method
Opis:
The article considers the stationary problem of viscous incompressible fluid flow past a cylindrical body. For solving the problem it is proposed a numerical method, based on the joint use of R-functions method and the Galerkin method. The computational experiment has been conducted for the task of flow past square cylinder for different Reynolds numbers.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 3; 43-50
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Towards to efficiency maximum within a pressure increasing process
Autorzy:
Puzyrewski, R.
Powiązania:
https://bibliotekanauki.pl/articles/175336.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
efficiency
kinematic flow
pumps
incompressible fluid
Opis:
The article presents a mathematical description of compression process in a pump and an original concept to increase efficiency in this process.
Źródło:
Transactions of the Institute of Fluid-Flow Machinery; 2014, 126; 153-168
0079-3205
Pojawia się w:
Transactions of the Institute of Fluid-Flow Machinery
Dostawca treści:
Biblioteka Nauki
Artykuł
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