Wszystkie pola: heat method - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Application of a Green’s function method to heat conduction problems in multi-layered cylinders
Autorzy:: Siedlecka, U.
Kukla, S.
Powiązania:: https://bibliotekanauki.pl/articles/122684.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat conduction
Green's functions
composite cylinder
przewodnictwo ciepła
funkcja Greena
Opis:: In this paper, the Green’s functions which are used in solving the heat conduction problem in a composite cylinder are derived. The functions are obtained by the solution of one dimensional eigenproblems and are presented in the form of eigenfunction series. The temperature in the cylinder as a function of time and space coordinates are expressed by the Green’s functions. A numerical example is presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 105-113
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Heat transfer study in a convective-radiative fin with temperature-dependent thermal conductivity and magnetic field using variation parameters method
Autorzy:: Sobamowo, G.
Jayesimi, L.
Femi-Oyetoro, J.
Powiązania:: https://bibliotekanauki.pl/articles/122666.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat transfer study
convective-radiative fin
variation of parameters method
temperature-dependent thermal conductivity
magnetic field
wymiana ciepła
przewodność cieplna
żebro
Opis:: In this work, a heat transfer study is carried out in a convective-radiative straight fin with temperature-dependent thermal conductivity and a magnetic field using the variation of parameters method. The developed heat transfer model is used to analyze the thermal performance, establish the optimum thermal design parameters and investigate the effects of thermo-geometric parameters and non-linear thermal conductivity parameters on the thermal performance of the fin. The results obtained are compared with the results in literature and good agreements are found. The analysis can serve as basis for comparison of any other method of analysis of the problem and it also provides a platform for improvement in the design of fin in heat transfer equipment.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 85-96
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Numerical modelling of thermal phenomena in Yb:YAG laser welding process
Autorzy:: Piekarska, W.
Kubiak, M.
Saternus, Z.
Domański, T.
Stano, S.
Radcenko, M. V.
Ivanov, S. G.
Powiązania:: https://bibliotekanauki.pl/articles/122518.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: numerical modelling
laser welding
heat source
finite volume method
kriging
modelowanie numeryczne
spawanie laserowe
źródło ciepła
metoda objętości skończonych
Opis:: This paper concerns numerical modelling of the Yb:YAG laser beam welding process. Numerical algorithms are developed for the analysis of thermal phenomena in a laser welded joint taking into account the motion of the liquid material in the welding pool. The model describing the laser beam heat source power distribution is developed on the basis of the kriging method. The heat source model uses the real laser beam profile obtained from experimental measurements of the beam emitted from a Trumpf D70 laser head performed on UFF100 analyzer. On the basis of developed numerical algorithms computer simulations of a Yb:YAG laser beam welding are carried out used to analyze the influence of the thermal load model on the shape and size of the weld.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 175-186
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Heat conduction problem in a two-layered hollow cylinder by using the Greens function method
Autorzy:: Kukla, S.
Siedlecka, U.
Powiązania:: https://bibliotekanauki.pl/articles/122646.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat conduction problem
two-layered cylinder
Green's function method
Opis:: In this paper, a solution of the heat conduction problem in a two-layered hollow cylinder by using the Green’s function method is presented. The considerations concern the heat conduction in the radial direction while taking into account time-dependent boundary conditions. The continuity condition of the temperature at the dividing surface of the layers is written in the form of a Volterra integral equation.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 2; 45-50
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Thermal performance of porous fins with temperature-dependent heat generation via the homotopy perturbation method and collocation method
Autorzy:: Hoshyar, H. A.
Rahimipetroudi, I.
Ganji, D. D.
Majidian, A. R.
Powiązania:: https://bibliotekanauki.pl/articles/122933.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: collocation method
homotopy perturbation method
porous fin
temperature-dependent heat generation
Opis:: An analysis has been performed to study the problem of the thermal performance of a nonlinear problem of the porous fin with temperature-dependent internal heat generation. Highly accurate semi-analytical methods called the collocation method (CM) and the homotopy perturbation method (HPM) are introduced and then are used to obtain a nonlinear temperature distribution equation in a longitudinal porous fin. This study is performed using passage velocity from the Darcy’s model to formulate the heat transfer equation through porous media. The heat generation is assumed to be a function of temperature. The effects of the natural convection parameter Nc, internal heat generation εg, porosity Sh and generation number G parameter on the dimensionless temperature distribution are discussed. Also, numerical calculations called the fourth order Runge-Kutta method were carried out for the various parameters entering into the problem for validation. Results reveal that analytical approaches are very effective and convenient. Also it is found that these methods can achieve more suitable results compared to numerical methods.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 53-65
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Applying the topological derivative and the boundary element method to design of shape of the heat exchanger
Autorzy:: Freus, K.
Freus, S.
Powiązania:: https://bibliotekanauki.pl/articles/122334.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: topological derivative
topological sensitivity
Laplace equation
boundary element method
heat transfer
Opis:: In this work, the topological derivative for the Laplace equation is used to solve a design problem. This derivative describes the sensitivity of the problem when a small hole is formed at an arbitrary point of the domain. The goal of this work is to design topology of the domain when the Robin condition is imposed on the holes. Physically, the holes can be construed as cooling channels. For finding the solution of the governing equation the boundary element method is applied. The final part of the paper presents the design of the heat exchanger and results of computations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 5-12
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Numerical modelling of the transient heat transport in 2D silicon thin film using the interval lattice Boltzmann method
Autorzy:: Piasecka-Belkhayat, A.
Korczak, A.
Powiązania:: https://bibliotekanauki.pl/articles/122654.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat transport
interval lattice Boltzmann method
transport ciepła
Opis:: In the paper the description of numerical analysis of the heat transfer process proceeding in a two-dimensional silicon thin film is presented. It is assumed that some parameters like relaxation time and boundary temperatures appearing in the mathematical model of the analyzed problem are given as intervals. The discussed problem has been solved using the interval form of the lattice Boltzmann method applying the rules of the directed interval arithmetics. In the final part of the paper, the results of numerical computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 95-103
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Analytical and numerical solution of the heat conduction problem in the rod
Autorzy:: Węgrzyn-Skrzypczak, E.
Skrzypczak, T.
Powiązania:: https://bibliotekanauki.pl/articles/122856.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: heat conduction equation
Fourier’s method
Finite Element Method
przewodzenie ciepła
metoda Fouriera
metoda elementów skończonych
Opis:: In this paper, the results of analytical and numerical solution of the problem of heat transport in the rod of finite length are presented. The analytical solution is obtained with the use of the Fourier series. The numerical model of the problem is based on the Finite Element Method (FEM). In addition, to check the compatibility of both solutions, distributions of the temperature for selected time moments are compared and discussed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 79-86
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Trefftz method for an inverse geometry problem in steady-state heat conduction
Autorzy:: Hożejowski, L.
Powiązania:: https://bibliotekanauki.pl/articles/122389.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: inverse geometry problem
boundary identification
Trefftz method
metoda Trefftza
Opis:: The paper addresses a boundary identification problem in two-dimensional steady-state heat conduction. The proposed approach based on the Trefftz method allows one to reconstruct the unknown part of a regular domain boundary from the given temperature measurements on it, provided that both the temperature and heat flux on the remaining part of the boundary are known. The reconstruction of an unknown boundary is done through successive approximations with a polynomial or a truncated Fourier series. The proposed solution method, whose merit lies in the avoidance of large systems of nonlinear equations, is fast converging, accurate and numerically stable, as demonstrated in the included numerical examples.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 41-52
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Thermal analysis of longitudinal a porous fin with temperature-dependent internal heat generation using the variation of parameters method
Autorzy:: Güngör, Osman
Arslantürk, Cihat
Powiązania:: https://bibliotekanauki.pl/articles/1839762.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: variation of parameters method
porous fin
heat generation
exact solution
metoda wariacji parametrów
żebro porowate
wytwarzanie ciepła
dokładne rozwiązanie
Opis:: The present study investigates the thermal performance of longitudinal a porous fin with temperature-dependent internal heat generation. The Darcy model is utilized to obtain the differential form of the governing equation that solves the nonlinear temperature distribution equation using the method of variation of parameters. Although this method is applied to solve both linear and nonlinear differential equations, there exist rare applications of this method to solve nonlinear heat transfer problems. In the present study, we applied the method to estimate the thermal analysis of the porous fin exposed to convection. The heat generation is assumed as a function of temperature. The effects of the convection parameter Nc, internal heat generation ɛ, porosity Sh, and generation number G parameter on the dimensionless temperature distribution are discussed in detail. The accuracy of the variation of parameters method is verified through comparison with homotopy perturbation method and the Matlab bvp4c solver (NUM). The results have disclosed that the variation of parameters method can be used as a very effective and practical approach for further studies of the porous medium.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 5-16
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 11.

Tytuł:: Analysis of heat transfer between an inert gas and a porous structure with ultralow thermal conductivity using the Sumudu transform method
Autorzy:: Sobamowo, Gbeminiyi
Powiązania:: https://bibliotekanauki.pl/articles/122558.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Sumudu transform method
heat transfer
inert gas
porous structure
ultralow thermal conductivity
metoda transformacji Sumudu
gaz obojętny
struktura porowata
wymiana ciepła
Opis:: The relatively new integral transform called the Sumudu transform method can be used to solve partial differential equations with variable coefficients and as well as intricate problems in engineering and applied mathematics without resorting to a new frequency domain. Unlike the other integral transforms, the Sumudu transform has scale and unit-preserving properties. However, the method is still not widely known or used for solving differential equations especially in the area of applied mathematics and engineering. As a means of demonstrating the potency of the method, the paper applied the Sumudu transform to present analytical solutions of a one-dimensional problem of heat transfer between an inert gas and an ultralow thermal conductivity porous medium. The developed analytical solutions are used to investigate the heat propagation in the porous medium. Depending on the initial temperature, it is established from the study that there are snapshots of the heat wave propagating and a sharp heat front propagation through the medium during its heating or cooling. This sharp front is difficult to detect and quantify by numerical methods. Hence, exact analytical solutions are presented in this study. As it is demonstrated in this study, it is hoped that the Sumudu transform method will be applied to other various complex engineering problems.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 79-87
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 12.

Tytuł:: A study on magneto hydrodynamics Jeffery-Hamel flow with heat transfer problem in Eyring-Powell fluid using differential transform method
Autorzy:: Meher, Ramakanta
Patel, N. D.
Powiązania:: https://bibliotekanauki.pl/articles/122591.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Differential Transform Method
Jeffery-Hamel flow
Eyring-Powell fluid
heat transfer
metoda transformacji różnicowej
przepływ Jeffery-Hamela
przenikanie ciepła
płyn Eyringa-Powella
Opis:: In this paper, we study and analyse the variations of velocity profiles for different values of the Reynolds number, Eckert number, Prandtl number and Hartmann number in the Magneto Hydrodynamics Jeffery-Hamel flow with heat transfer in Eyring-Powell fluid in both divergent and convergent channels. The Differential Transform Method (DTM) is used to obtain an analytical solution of the Jeffery Hamel flow problem and to determine the velocity profiles of the fluid flow. Finally, the efficiency of DTM has been shown, and the results have been validated by comparing the obtained results with the numerical results (fourth order RK method) in both convergent and divergent channels.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 57-68
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 13.

Tytuł:: A numerical method for viscous flow in a driven cavity with heat and concentration sources placed on its side wall
Autorzy:: Ambethkar, V.
Basumatary, L. R.
Powiązania:: https://bibliotekanauki.pl/articles/122794.pdf
Data publikacji:: 2018
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: numerical method
viscous flow
heat source
concentration source
driven square cavity
general algorithm
stability conditions
isotherms
streamlines
geometric center
heat and mass transfer
metoda numeryczna
lepki przepływ
źródło ciepła
warunki stabilności
izotermy
transfer ciepła
transfer masy
Opis:: This paper proposes a method to numerically study viscous incompressible two-dimensional steady flow in a driven square cavity with heat and concentration sources placed on its side wall. The method proposed here is based on streamfunction-vorticity (Ψ-ξ) formulation. We have modified this formulation in such a way that it suits to solve the continuity, x and y-momentum, energy and mass transfer equations which are the governing equations of the problem under investigation in this study. No-slip and slip wall boundary conditions for velocity, temperature and concentration are defined on walls of a driven square cavity. In order to numerically compute the streamfunction Ψ, vorticityfunction ξ , temperature θ, concentration C and pressure P at different low, moderate and high Reynolds numbers, a general algorithm was proposed. The sequence of steps involved in this general algorithm are executed in a computer code, developed and run in a C compiler. We propose that, with the help of this code, one can easily compute the numerical solutions of the flow variables such as velocity, pressure, temperature, concentration, streamfunction, vorticityfunction and thereby depict and analyze streamlines, vortex lines, isotherms and isobars, in the driven square cavity for low, moderate and high Reynolds numbers. We have chosen suitable Prandtl and Schmidt numbers that enables us to define the average Nusselt and Sherwood numbers to study the heat ad mass transfer rates from the left wall of the cavity. The stability criterion of the numerical method used for solving the Poisson, vorticity transportation, energy and mass transfer has been given. Based on this criterion, we ought to choose appropriate time and space steps in numerical computations and thereby, we may obtain the desired accurate numerical solutions. The nature of the steady state solutions of the flow variables along the horizontal and vertical lines through the geometric center of the square cavity has been discussed and analyzed. To check the validity of the computer code used and corresponding numerical solutions of the flow variables obtained from this study, we have to compare these with established steady state solutions existing in the literature and they have to be found in good agreement.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 3; 17-30
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 14.

Tytuł:: Bioheat transfer equation : the problem of FDM explicit scheme stability
Autorzy:: Tuzikiewicz, W.
Duda, M.
Powiązania:: https://bibliotekanauki.pl/articles/122648.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: bio-heat transfer
finite difference method
stability condition
von Neumann method
wymiana biociepła
metoda różnic skończonych
stan stateczności
Opis:: In the paper the problem of explicit FDM scheme stability for the bio-heat transfer equation (the Pennes equation) is discussed. To formulate the appropriate condition the von Neumann approach is applied. The first chapter contains the known derivation of FDM stability condition for the Fourier equation. In the second part, a similar condition is found for the case of the bio-heat transfer equation containing both the perfusion and metabolic heat sources.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 4; 139-144
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 15.

Tytuł:: Heat flux formulation for 1D dual-phase lag equation
Autorzy:: Majchrzak, E.
Kałuża, G.
Powiązania:: https://bibliotekanauki.pl/articles/122784.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: dual phase lag equation
finite difference method
thin metal film
Opis:: The thin metal film subjected to the ultra-short laser pulse is analyzed. Heat transfer processes occurring in the domain considered are described by the dual-phase lag model in which the unknown is the heat flux, not, as usual, temperature. This approach is especially convenient in the case of Neumann boundary conditions, which are taken into account here. The mathematical model supplemented by initial conditions is solved using the explicit scheme of finite difference method. In the final part of the paper the examples of computations are shown and the conclusions are formulated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 1; 71-78
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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