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Tytuł:
Simulations of thermal processes in a restored tooth
Autorzy:
Siedlecki, J.
Ciesielski, M.
Powiązania:
https://bibliotekanauki.pl/articles/122467.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
restored tooth
thermal process
numerical solution
Opis:
In this paper the analysis of the temperature distribution in restored tooth is considered. The aim of the research is to evaluate the impact of temperature changes in the pulp layer of tooth under the influence of rapid temperature changes in the ambient fluid. The axially-symmetrical model of the molar tooth (in vitro) without filling and with fillings (amalgam and composite resin) is analyzed. The equations of mathematical model are solved numerically using the control volume method. Finally, some examples of simulations are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 103-108
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An approximation of the analytical solution of the fractional Euler-Lagrange equation
Autorzy:
Ciesielski, M.
Błaszczyk, T.
Powiązania:
https://bibliotekanauki.pl/articles/122587.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Euler-Lagrange equation
numerical solution
Opis:
In this paper the fractional Euler-Lagrange equation of order α ∈ (0, 1] in the finite time interval is considered. This equation is transformed to the integral form by the use of the fractional integral operators. Next, the numerical approximation of the analytical solution is presented. Finally, some examples of numerical solutions are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 23-30
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution through mathematical modelling of unsteady MHD flow past a semi-infinite vertical moving plate with chemical reaction and radiation
Autorzy:
Bhandari, A.
Powiązania:
https://bibliotekanauki.pl/articles/178846.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
MHD flow
chemical reaction
radiation
numerical solution
Opis:
In the present manuscript, unsteady magnetohydrodynamic (MHD) flow over a moving porous semi-infinite vertical plate with time-dependent suction has been studied in the presence of chemical reaction and radiation parameters. Time-dependent partial differential equations in the dimensionless form are solved numerically through mathematical modelling in COMSOL Multiphysics. The results are obtained for velocity, temperature and concentration profiles at different times. Steady state results are also presented for different values of physical parameters. The parameters involved in the problem are useful to change the characteristics of velocity, heat transfer and concentration profiles. The numerical solution of partial differential equations involved in the problem is obtained without sacrificing the relevant physical phenomena.
Źródło:
Studia Geotechnica et Mechanica; 2018, 40, 4; 270-281
0137-6365
2083-831X
Pojawia się w:
Studia Geotechnica et Mechanica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations
Autorzy:
Jenaliyev, Muvasharkhan
Ramazanov, Murat
Yergaliyev, Madi
Powiązania:
https://bibliotekanauki.pl/articles/2216154.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Navier-Stokes equations
inverse problem
numerical solution
Opis:
The paper studies the numerical solution of the inverse problem for a linearized two-dimensional system of Navier-Stokes equations in a circular cylinder with a final overdetermination condition. For a biharmonic operator in a circle, a generalized spectral problem has been posed. For the latter, a system of eigenfunctions and eigenvalues is constructed, which is used in the work for the numerical solution of the inverse problem in a circular cylinder with specific numerical data. Graphs illustrating the results of calculations are presented.
Źródło:
Opuscula Mathematica; 2022, 42, 5; 709-725
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution of non-homogenous fractional oscillator equation in integral form
Autorzy:
Ciesielski, M.
Błaszczyk, T.
Powiązania:
https://bibliotekanauki.pl/articles/281890.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
fractional oscillator equation
fractional integral equation
numerical solution
Opis:
In this paper, a non-homogenous fractional oscillator equation in finite time interval is considered. The fractional equation with derivatives of order α ∈ (0, 1] is transformed into its corresponding integral form. Next, a numerical solution of the integral form of the considered equation is presented. In the final part of this paper, some examples of numerical solutions of the considered equation are shown.
Źródło:
Journal of Theoretical and Applied Mechanics; 2015, 53, 4; 959-968
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Differences method topology of hydrodynamic pressure calculations from Reynolds equation
Autorzy:
Wierzcholski, K.
Powiązania:
https://bibliotekanauki.pl/articles/246229.pdf
Data publikacji:
2010
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
Reynolds equation
new numerical solution
urvilinear boundary conditions
Opis:
The main topic of the presented paper concerns the method of determination and calculations of the general and particular numerical solutions of modified Reynolds equation in curvilinear orthogonal coordinates for curvilinear boundary conditions for hydrodynamic pressure distributions in bearing gap. A general solution matrix was derived and determined for various orthogonal coordinates of two cooperating bearing surfaces separated by the oil existing in slide Journal bearings. From mathematical point presented method of solution of modified Reynolds equation leads this problem to resolving the partial recurrence non homogeneous, linear equation of second order with variable coefficients. As an example the numerical hydrodynamic pressure calculation for slide bearing two cylindrical surfaces limited bearing gap with various eccentricities was in this paper performed. In numerical calculations are applied the formulae and calculation algorithm derived in this paper. Moreover, presented numerical topology of calculations in this paper enables to find the optimum way of determination of pressure values for an applied difference method regarding to the stability of solutions, convergences of the obtained values with various orthogonal shapes of cooperating surfaces. An adaptation of the known numerical difference method to the various curvilinear orthogonal boundary conditions applied during the hydrodynamic pressure determination on the two various curvilinear cooperating surfaces, to be decisive after author knowledge about a new achievement consisted in presented paper.
Źródło:
Journal of KONES; 2010, 17, 4; 583-590
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic deflections of bridges due to moving load
Autorzy:
Melcer, J.
Powiązania:
https://bibliotekanauki.pl/articles/402316.pdf
Data publikacji:
2009
Wydawca:
Politechnika Świętokrzyska w Kielcach. Wydawnictwo PŚw
Tematy:
dynamics
vehicle-bridge interaction
computing model
numerical solution
Opis:
The problem of vehicle-bridge interaction can be followed in the literature from the year 1849. It was induced by the collapse of the Chester Rail Bridge in England in the year 1847. At the early stage the analytical methods were applied. The development of computers brings the change in the approach to the used methods of solution. The Finite Element Methods and the Component Element Methods represent the revolution and qualitative jump in the development. The dynamic deflections and the values of dynamic coefficients are remarkable from the point of bridge designers. The analysis of dynamic coefficients on the frequency ratio of natural frequency of vehicle and natural frequency of a bridge and dependence of dynamic coefficients on the speed of vehicle motion are presented in this contribution.
Źródło:
Structure and Environment; 2009, 1, 1; 17-21
2081-1500
Pojawia się w:
Structure and Environment
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical Simulations for Solving Fuzzy Fractional Differential Equations by max-min Improved Euler Methods
Autorzy:
Khan, N. A.
Razzaq, O. A.
Riaz, F.
Powiązania:
https://bibliotekanauki.pl/articles/108688.pdf
Data publikacji:
2015
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
fuzzy
improved Euler method
numerical solution
Mathematica 10
Opis:
In this paper, an extension is introduced into Max-Min Improved Euler methods for solving initial value problems of fuzzy fractional differential equations (FFDEs). Two modified fractional Euler type methods have been proposed and investigated to obtain numerical solutions of linear and nonlinear FFDEs. The proposed algorithms are tested on various illustrative examples. Exact values are also simulated to compare and discuss the closeness and accuracy of approximations so obtained. Comparatively, tables and graphs results reveal the complete reliability, efficiency and accuracy of the proposed methods.
Źródło:
Journal of Applied Computer Science Methods; 2015, 7 No. 1; 53-83
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The verification of the estimation of transport and sorption parameters in the MATLAB environment. A column test
Autorzy:
Okońska, M.
Kaczmarek, M.
Małoszewski, P.
Marciniak, M.
Powiązania:
https://bibliotekanauki.pl/articles/184718.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
column tests
sorption models
parameters
numerical solution
optimization
MATLAB
Opis:
Mathematical modelling of the migration of pollutants in the groundwater environment requires knowledge of the values of transport and sorption parameters. The aim of this study was 1) to determine the values of advection, dispersion and sorption parameters of selected tracers that are transported through a porous medium, and 2) to verify the applied parameters estimation procedure. The authors examined the migration of a solution containing conservative and reactive tracers (chloride, nitrate, lithium and ammonium ions) through a sample of medium sand. The soil sample for the column test was taken from an aquifer near the Tursko groundwater intake (Wielkopolska province, Poland). The parameter estimation procedure, conducted in the MATLAB environment, included the numerical solution of the differential equations of transport and sorption, and the application of the numerical optimization method. During the identification, the authors tested twelve mathematical models including the advection-dispersion model, as well as single and hybrid (i.e. two-site) sorption models. The authors made a comparison of parameter values obtained by means of the global and local optimization method. The fitting quality was assessed by calculating the root mean square error RMSE and correlation coefficient r. As a result of the research, the authors determined the values of the advection-dispersion parameters: hydraulic conductivity k, effective porosity n e, and longitudinal dispersivity α. The authors found out that the nature oflithium ions migration is best captured by the single sorption model (equilibrium sorption), whereas the nature of ammonium ions migration is by the hybrid model with irreversible sorption. Lithium ions on the tested soil revealed low sorption intensity, ammonium ions showed medium intensity, while nitrate ions were transported at the same rate as chloride ions, exhibiting no retardation. The verification of parameter estimation in the MATLAB environment was carried out by comparing it against the alternative, well-known and often tested method, based on analytical solutions of the transport and sorption equation, combined with optimization within the FIELD and KLUTE-STEP programmes.
Źródło:
Geology, Geophysics and Environment; 2017, 43, 3; 213-227
2299-8004
2353-0790
Pojawia się w:
Geology, Geophysics and Environment
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of co-flow jet effects on airfoil at moderate Reynolds numbers
Autorzy:
Khoshnevis, Amir
Yazdani, Shima
Saimipour, Erfan
Powiązania:
https://bibliotekanauki.pl/articles/2055047.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
numerical solution
Co-Flow Jet (CFJ)
stall
aerodynamic characteristics
momentum coefficients
Opis:
This paper investigates the performance of controlling Co-Flow Jet (CFJ) on NACA 0025 airfoil at five different Reynolds numbers of 5 · 104, 7.5 · 104, 105, 1.5 · 105, and 3 · 105. To conduct the numerical solution of the fluid flow, 2D incompressible and unsteady Reynolds- -averaged Navier-Stokes equations are solved using the SST-k-ω turbulence model. At all investigated Reynolds numbers, the lift coefficient enhances as the momentum coefficient increases, and its best performance is obtained at an angle of attack of (AoA) 15◦. It is also observed that using the CFJ is of greater importance at Re ≤ 105 than in other investigated cases.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 3; 685--695
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the Boundary Element Method for the Simulation of Two-dimensional Viscous Incompressible Flow
Autorzy:
Prybytak, D.
Powiązania:
https://bibliotekanauki.pl/articles/241187.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
mathematical modeling
numerical solution
boundary element method
flow of Stokes liquid
Opis:
The paper presents the application of an indirect variant of the boundary element method (BEM) to solve the two-dimensional steady flow of a Stokes liquid. In the BEM, a system of differential equations is transformed into integral equations. This makes it possible to limit discretization to the border of the solution. Numerical discretization of the computational domain was performed with linear boundary elements, for which a constant value of unknown functions was assumed. The verification was carried out for the case of flow in a square cavity with one moving wall. The results obtained show that the use of approximations by simple linear functions is relatively easy for different shapes of the area, but the result may be affected by significant errors.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2014, 61, 3-4; 163--173
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Improved lumping friction model for liquid pipe flow
Autorzy:
Urbanowicz, K.
Zarzycki, Z.
Powiązania:
https://bibliotekanauki.pl/articles/280074.pdf
Data publikacji:
2015
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
transient pipe flow
frequency-dependent friction
effective numerical solution
water hammer
cavitation
Opis:
Normally, during one-dimensional pipe flow, the friction terms are calculated with the use of a numerical method (for example MOC – method of characteristics) at every computational node along the pipe and at every time step. This procedure tends to increase the computational effort greatly. A considerable increase in computational speed can be archived by calculating the frequency-dependent friction at the end of the pipe only. To avoid possible problems (no damping at closed walls, underestimate damping on high impedance components) the frequency-dependent friction term is calculated from the flow waves. The lumping friction model in this work is based on a modificated Schohl convolution integral solution. In addition, the work examined the impact of using of simplified effective weighting function on the obtained results of numerical simulations. The modified method in conjunction with the use of simplified weighting function allow determination of real-time estimate of the basic parameters representing the fluid flow in complex hydraulic systems, water supply, etc.
Źródło:
Journal of Theoretical and Applied Mechanics; 2015, 53, 2; 295-305
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Model of magnetic gun with respecting eddy currents
Autorzy:
Leubner, K.
Doležel, I.
Laga, R.
Powiązania:
https://bibliotekanauki.pl/articles/97545.pdf
Data publikacji:
2015
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
magnetic gun
magnetic field
numerical solution
higher-order finite element method
coupled problem
Opis:
A sophisticated mathematical model of the magnetic gun is presented and solved numerically. The model consists of three strongly non-linear and non-stationary differential equations describing the time-dependent distribution of magnetic field in the device, current in the field circuit and movement of the projectile. The numerical solution is carried out in the application Agros2D based on a fully adaptive higher-order finite element method. The results are processed in Wolfram Mathematica. The methodology is illustrated with an example and selected results are compared with experiment.
Źródło:
Computer Applications in Electrical Engineering; 2015, 13; 12-20
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chislennoe reshenie kontaktnojj zadachi naprjazhenno-deformirovannogo sostojanija tel pri rabote stalnykh kanatnogo bloka i kanata
Numerical solution of contact problems of stress-strain state bodies at work steel block rope and rope
Autorzy:
Marchenko, D.
Powiązania:
https://bibliotekanauki.pl/articles/77273.pdf
Data publikacji:
2013
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
contact problem
stress
finite element modelling
stress-strain state
steel
numerical solution
software
Opis:
The paper presented the results of studies of the stress-strain state at work steel cable block and channel Univ. Using finite element modeling performed numerical solution spatial and plane-hard contact problem using application software systems APM WIN Machine and Structure CAD. Analysis of static and dynamic load-nomic couples showed that ma-a maximal level of contact stress (stress field), and therefore the greatest intensity trybokontaktnoho wear at-work profile is on the cable block ku, namely the toroidal and conical surface due to a jam rope Their work is returned.
Źródło:
Motrol. Motoryzacja i Energetyka Rolnictwa; 2013, 15, 2
1730-8658
Pojawia się w:
Motrol. Motoryzacja i Energetyka Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigation of the Stability and Convergence of Difference Schemes for the Three-dimensional Equations of the Atmospheric Boundary Layer
Autorzy:
Temirbekov, A. N.
Urmashev, B. A.
Gromaszek, K.
Powiązania:
https://bibliotekanauki.pl/articles/226826.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
atmospheric boundary layer equations
difference scheme
approximation error
stability
convergence algorithms
numerical solution
Opis:
In this article we construct a finite-difference scheme for the three-dimensional equations of the atmospheric boundary layer. The solvability of the mathematical model is proved and quality properties of the solutions are studied. A priori estimates are derived for the solution of the differential equations. The mathematical questions of the difference schemes for the equations of the atmospheric boundary layer are studied. Nonlinear terms are approximated such that the integral term of the identity vanishes when it is scalar multiplied. This property of the difference scheme is formulated as a lemma. Main a priori estimates for the solution of the difference problem are derived. Approximation properties are investigated and the theorem of convergence of the difference solution to the solution of the differential problem is proved.
Źródło:
International Journal of Electronics and Telecommunications; 2018, 64, 3; 391-396
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 50

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