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1

Two-dimensional deformation in a thermoelastic solid with microtemperatures subjected to an internal heat source

Ailawalia P., Budhiraja S., Singh J.

International Journal of Applied Mechanics and Engineering

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2018

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Vol. 23, no. 1

5--21

EN

The purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.

2

Effect of diffusion and internal heat source on a two-temperature thermoelastic medium with three-phase-lag model

Othman M. I., Said S. M.

Archives of Thermodynamics

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2018

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Vol. 39, no 2

15--39

EN

The purpose of this paper is to depict the effect of diffusion and internal heat source on a two-temperature magneto-thermoelastic medium. The effect of magnetic field on two-temperature thermoelastic medium within the three-phase-lag model and Green-Naghdi theory without energy dissipation i discussed. The analytical method used to obtain the formula of the physical quantities is the normal mode analysis. Numerical results for the field quantities given in the physical domain are illustrated on the graphs. Comparisons are made with results of the two models with and without diffusion as well as the internal heat source and in the absence and presence of a magnetic field.

3

Internal Heat Source in Temperature Rate Dependent Thermoelastic Medium with Hydrostatic Initial Stress

Ailawalia P., Budhiraja S.

Mechanics and Mechanical Engineering

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2016

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Vol. 20, nr 3

263--275

EN

The present work is devoted to study the effect of hydrostatic initial stress in an infinite isotropic generalized thermoelastic medium with the dependence of modulus of elasticity and thermal conductivity on the reference temperature. In view of calculating general problems, a numerical solution technique is to be used. For this purpose, the normal mode analysis method is chosen. The results for the displacement components, force stress and temperature distribution are illustrated graphically with some comparisons. The numerical results are given and presented graphically for Lord–Shulman theory of thermoelasticity when mechanical force is applied.

4

Temperature profiles in a micro-processor cooled by direct refrigerant evaporation

Lipnicki Z., Lechów H., Pantoł K.

Civil and Environmental Engineering Reports

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2016

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No. 22(3)

111--126

EN

An analytical solution to the equation for cooling of a unit, in the interior of which heat is generated, is presented. For that reason, a simplified non non-stationary model for determination of the temperature distribution within the unit, temperature of the contact between unit and a liquid layer, and the evaporating layer thickness in the function of time, is elaborated. A theoretical analysis of the external cooling of the unit, by considering the phenomenon of the liquid evaporation with the use of the Fourier and Poisson’s equations, is given. Both, stationary - and non-stationary description of the cooling are shown. The obtained results of simulation seems to be useful in designing the similar cooling systems. A calculation mode for a cooling systems equipped with the compressor heat pump, as an effective cooling method, is also performed.

PL

W pracy przedstawiono analitycznie rozwiązanie problemu chłodzenia elementu, wewnątrz którego wydzielane jest ciepło spowodowane jego pracą. Zaproponowano uproszczony, niestacjonarny model teoretyczny, opisujący zjawisko, dzięki czemu określono rozkład temperatury wewnątrz elementu, temperaturę kontaktu między elementem a warstwą cieczy czynnika chłodniczego oraz grubość warstwy parowania w funkcji czasu. Problem chłodzenia rozwiązano teoretycznie wykorzystując równania Fouriera i Poissone’a przy spełnieniu odpowiednich warunków brzegowych. Rozwiązano dwa przypadki chłodzenia: stacjonarny i niestacjonarny. Otrzymane rozwiązania analityczne wydają się być przydatne w projektowaniu podobnych systemów chłodzenia. Wykonano również obliczenia dla układów chłodzenia wyposażonych w pompę ciepła, kompresor, jako skuteczny sposób chłodzenia.

5

Application of two spectral methods to a problem of convection with uniform internal heat source

Dragomirescu I., Georgescu A.

Journal of Mathematics and Applications

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2008

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Vol. 30

43-52

EN

Two methods based on Fourier series expansions (a Chandrasekhar functions - based method and a shifted Legendre polynomials - based method) are used to study analytically the eigenvalue problem governing the linear convection problem with an uniform internal heat source in a horizontal fluid layer bounded by two rigid walls. For each method some theoretical reraarks are made. Numerical results are given and they are compared with some existing ones. Good agrement is found.

6

Identification of internal heat source capacity in the heterogeneous domain

Mochnacki B., Metelski A.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2005

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Vol. 4, nr 1

182-187

EN

The heterogeneous domain Ωbeing the composition of two domains (Ω1, Ω2) is considered. It is assumed that in the first domain Ω1 the internal volumetric heat sources act. On the basis of knowledge of heating (cooling) curves at the selected set of Ω2 the capacity of internal heat sources in Ω1 is identified. The inverse problem formulated in this way is interesting from the practical point of view. For example, a such situation takes place during the casting solidification. The evolution of latent heat in the casting domain causes that in Ω1 the internal heat sources appear, while in the mould domain this component of energy equation is equal to 0. Additionally the measurements of temperature in the mould are essentially simpler from the technical view-point. In the paper the theoretical base of the problem and the examples of numerical realization are discussed.