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Wyszukujesz frazę "Heat transfer" wg kryterium: Temat


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
Artykuł
Tytuł:
Numerical analysis of thermal processes in the system protective clothing – biological tissue subjected to an external heat flux
Autorzy:
Mochnacki, B.
Duda, M.
Powiązania:
https://bibliotekanauki.pl/articles/122560.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
bio-heat transfer
protective clothing
tissue heating
simulations
przepływ biociepła
odzież ochronna
rozgrzana tkanka
układ równań Pennesa
Opis:
The non-homogeneous fragment of biological tissue is considered. Its shape roughly corresponds to the fragment of cross-section of the upper or lower limb. The tissue domain is protected by a layer of protective clothing. The purpose of numerical computations is to examine the effectiveness of the clothing insulation layer on the action of the external heat fluxes of differing intensity. Thermal processes in the tissue domain are described by the system of the Pennes equations. This system is supplemented by the appropriate boundary-initial conditions and the energy equations determining the transient temperature field in the fabric and air gap sub-domains (the air gap is treated as a solid body). At the stage of numerical computations, the program MSC. Marc has been used. In the final part of the paper, the examples of numerical simulations and also the conclusions are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 85-93
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Application of the interval Lattice Boltzmann method for a numerical modeling of 2D thin metal films irradiated by ultrashort laser pulses
Autorzy:
Piasecka-Belkhayat, Alicja
Korczak, Anna
Powiązania:
https://bibliotekanauki.pl/articles/122840.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
lattice Boltzmann method
interval arithmetic
laser irradiation
heat transfer
metoda kratowa Boltzmanna
arytmetyka przedziałowa
promieniowanie laserowe
przenikanie ciepła
Opis:
In the paper, the two-dimensional numerical modelling of heat transfer in thin metal films irradiated by ultrashort laser pulses using the D2Q9 scheme is considered. In the mathematical description, the relaxation times and the boundary conditions for phonons and electrons are given as interval numbers. The problem has been formulated using the interval coupled lattice Boltzmann equations for electrons and phonons. The solution has been obtained by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. Examples of numerical computations are presented in the final part of the paper.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 63-71
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of ultrashort laser pulse interactions with metal films using a two-temperature model
Autorzy:
Majchrzak, E.
Dziatkiewicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/122931.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
microscale heat transfer
two-temperature model
finite difference method
mikroskalowy przepływ ciepła
dwu-temperaturowy model
metoda różnic skończonych
Opis:
In the paper the problem of thin metal film subjected to the action of the high laser fluence and the ultrashort pulse width is considered. The mathematical model consists of the equations describing the electrons and phonons temperatures and the relationships between the heat fluxes and temperature gradients of electrons and phonons. The problem is solved using the explicit scheme of the finite difference method with staggered grid. In the final part the results of computations and conclusions are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 31-39
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of numerical methods for solving the non-Fourier equations. A review of our own and collaborators’ works
Autorzy:
Majchrzak, E.
Mochnacki, B.
Powiązania:
https://bibliotekanauki.pl/articles/122746.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
heat transfer
non-Fourier heat diffusion models
numerical methods
computational mechanics
proces termiczny
wymiana ciepła
metody numeryczne
mechanika obliczeniowa
model dyfuzji cieplnej
Opis:
Thermal processes occuring in the solid bodies are, as a rule, described by the well-known Fourier equation (or the system of these equations) supplemented by the appropriate boundary and initial conditions. Such a mathematical model is sufficiently exact to describe the heat transfer processes in the macro scale for the typical materials. It turned out that the energy equation based on the Fourier law has the limitations and it should not be used in the case of the microscale heat transfer and also in the case of materials with a special inner structure (e.g. biological tissue). The better approximation of the real thermal processes assure the modifications of the energy equation, in particular the models in which the so-called lag times are introduced. The article presented is devoted to the numerical aspects of solving these types of equations (in the scope of the microscale heat transfer). The results published by the other authors can be found in the references posted in the works cited below.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 2; 43-50
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Enhancement of turbulent airflow and heat transfer through a rectangular microchannel with different types of baffles
Autorzy:
Saha, Sandip
Raut, Santanu
Das, Apurba Narayan
Powiązania:
https://bibliotekanauki.pl/articles/2141504.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
turbulent air flow
heat transfer
local Nusselt number
friction coefficient
turbulentny przepływ powietrza
wymiana ciepła
liczba Nusselta
współczynnik tarcia
Opis:
The objective of this work is to discuss the turbulent air hydro-thermal phenomena over a rectangular microchannel with different types of baffle (rectangular, triangular, and trapezoidal) mounted on both the walls of the microchannel. The finite volume method with the second order upwind scheme has been utilized to discretize the governing equations and to study the turbulent airflow characteristics; the SST k-ꞷ turbulence model has been adopted. For nine different cases, the different characteristics of fluid flow phenomena and thermal behaviour with the variations in the Reynolds number ranging from [5,000-25,000] and for three different values of inter baffle spacing have been studied in this manuscript. Due to the presence of baffle, it is revealed that the vortex arises on the upper wall and the thermal phenomena enhances with the decrease in inter baffle spacing.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 3; 41-52
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Algorithm of rebuilding a boundary of domain during creation of an optimal shape
Autorzy:
Freus, K.
Freus, S.
Powiązania:
https://bibliotekanauki.pl/articles/122780.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Laplace equation
boundary element method
heat transfer
topological-shape sensitivity method
równanie Laplace'a
metoda elementów brzegowych
wymiana ciepła
Opis:
In order to achieve the desired topology we often have to remove material of the area considered. This work presents the author's algorithm which can be used in the reconstruction of the boundary of domain after elimination of a certain amount of material. The paper introduces some details about the procedure that allows one to achieve the expected shape of a domain. The topological-shape sensitivity method for the Laplace equation is used to obtain an optimal topology, whereas numerical methodology utilizes the boundary element method. In the conclusion of the paper the example of computation is shown.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 17-24
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
Tytuł:
Exact solution for heat conduction inside a sphere with heat absorption using the regularized Hilfer-Prabhakar derivative
Autorzy:
Elhadedy, Hager
Latif, Mohamed S. Abdel
Nour, Hamed M.
Kader, Abbas H. Abdel
Powiązania:
https://bibliotekanauki.pl/articles/2175524.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional derivatives
Laplace transform
finite sine-Fourier transform
heat transfer
pochodne ułamkowe
transformata Laplace'a
skończona transformata sinusoidalna-Fouriera
wymiana ciepła
Opis:
In this article, we utilize the finite Sine-Fourier transform and the Laplace transform for solving fractional partial differential equations with regularized Hilfer-Prabhakar derivative. These transforms are used to get analytical solutions for the time fractional heat conduction equation (TFHCE) with the regularized Hilfer-Prabhakar derivative associated with heat absorption in spherical coordinates. Two cases of Dirichlet boundary conditions are considered by obtaining an analytical solution in each case. The effect of the parameters of the regularized Hilfer-Prabhakar derivative on the heat transfer inside the sphere is discussed using some figures.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 27--37
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical investigation on the effects of obstruction and side ratio on non-Newtonian fluid flow behavior around a rectangular barrier
Autorzy:
Noferesti, Sara
Ghassemi, Hassan
Nowruzi, Hashem
Powiązania:
https://bibliotekanauki.pl/articles/122461.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
non-Newtonian fluids
heat transfer
finite volume method
laminar flow
płyn nieniutonowski
przenikanie ciepła
wymiana ciepła
metoda objętości skończonej
przepływ laminarny
Opis:
In this paper, the characteristics of the flow and forced heat transfer of power law non-Newtonian fluids that flow around a quadrilateral and rectangular cylinder that are located in a 2D channel are investigated by use of the finite volume method (FVM) in a steady state flow regime. To this accomplishment, in the constant temperature, the effects of a different obstruction ratio, aspect ratio and Reynolds number are investigated. The Reynolds number in the range 5 ≤ Re ≤ 40, the power index in the range 0.5 ≤ n ≤ 1.4, the aspect ratio in the range 0.5 ≤ a ≤ 2, and the obstruction ratio in the range 0.125 ≤ b ≤ 0.5 were selected. By surveying the drag coefficient profiles, it’s concluded that as the obstruction ratio increases, the drag coefficient is increased, while an increase in the Reynolds number causes the lower drag coefficient. In addition, the drag coefficient is strongly increased by aspect ratio enhancements.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 1; 53-67
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Artykuł
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
Artykuł
Tytuł:
Analysis of solutions of the 1D fractional Cattaneo heat transfer equation
Autorzy:
Siedlecka, Urszula
Ciesielski, Mariusz
Powiązania:
https://bibliotekanauki.pl/articles/2175501.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
heat transfer
Cattaneo equation
fractional Caputo derivative
Laplace transform
Fourier transform
wymiana ciepła
równanie Cattaneo
pochodna ułamkowa Caputo
transformata Laplace'a
transformata Fouriera
Opis:
In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo derivative. The Fourier-Laplace transform technique is used to determine a solution of the considered problem. The numerical inversion of the Laplace transforms is applied. The effect of the order of the fractional derivative on the temperature distribution is investigated.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 4; 87--98
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of an optimal shape of domain using the topological derivative and the Boundary Element Method
Autorzy:
Freus, K.
Freus, S.
Powiązania:
https://bibliotekanauki.pl/articles/122328.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
topological derivative
topological sensitivity
topology optimization
heat transfer
Laplace equation
boundary element method
pochodna topologiczna
wrażliwość topologiczna
optymalizacja topologiczna
wymiana ciepła
równanie Laplace'a
metoda elementów brzegowych
Opis:
In the paper, the topological derivative for the Laplace equation is taken into account. The governing equation is solved by means of the Boundary Element Method. The topological-shape sensitivity method is used to determine the points showing the lowest sensitivities. On the selected points, material is eliminated by opening a hole, using the appropriate iterative process. This one is halted when a given amount of material is removed. The objective of this work is to obtain an optimal topology of the domain considered. In the final part of the paper, the example of computations is shown.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 41-48
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł

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