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    Wyświetlanie 1-3 z 3
    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
    Artykuł
    Tytuł:
    Effects of Internal Heat Generation on the Thermal Stability of a Porous Fin
    Autorzy:
    Sobamowo, M. G.
    Jayesimi, L. O.
    Waheed, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031875.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Differential Transformation Method
    Porous Fin
    Temperature-Dependent Internal Heat Generation
    Thermal analysis
    Thermal performance
    Opis:
    In this study, the effects of internal heat generation on thermal stability of porous fin is theoretical investigated using differential transform method. The parametric studies reveal increase in the internal heat generation leads to increase in the value or the range of the thermal stability of the fin. The internal heat generation can be used to control the thermal instability in the fin. Also, as the porosity parameter increase, the rate of heat transfer from the base of the fin and consequently improve the efficiency of the fin increase. However, a high value or an excessive internal heat generation results in an undesirable situation where some of the heat energy cannot escape to the sink and instead ends up flowing into the prime surface and the fin tends to store heat rather than dissipating it. This scenario defeats the prime purpose of the cooling fin. Therefore, the operational parameters must be carefully selected to ensure that the fin retains its primary purpose of removing heat from the primary surface.
    Źródło:
    World Scientific News; 2020, 149; 110-127
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Further Study on Thermal Performance of Porous Fin with Temperature-Dependent Thermal Conductivity and Internal Heat Generation using Galerkin’s method of Weighted Residual
    Autorzy:
    Sobamowo, M. G.
    Kamiyo, O. M.
    Adeleye, O. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1046542.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Galerkin’s method of weighted residual
    Porous Fin
    Surface convective heat transfer
    Temperature-Dependent Thermal Conductivity and Internal Heat Generation
    Thermal performance
    Opis:
    This work is presented as a further study to our previous work, “Thermal performance analysis of a natural convection porous fin with temperature-dependent thermal conductivity and internal heat" published in "Thermal Science and Engineering Progress. 1 (2017) 39–52”, where it was assumed that the surface convection is negligible and heat is transferred only by natural convection in the porous fin. In this present study, such an assumption has been relaxed. Also, effects of surface convective heat transfer on the thermal performance of porous fin with temperature-dependent thermal conductivity and internal heat generation have been investigated using Galerkin’s method of weighted residual. The results of the Galerkin’s method of weighted residual show excellent agreement with the results of numerical method using shooting method coupled with Runge-Kutta method and also with the results of homotopy perturbation method. Thereafter, the developed analytical solutions are used to investigate the influences of the thermal model parameters on the thermal performance of the porous fin. It is found as the with the other model parameters that as the convective parameter increases, the rate of heat transfer from the base of the fin increases and consequently, the porous fin efficiency improves. However, increase in the nonlinear thermal conductivity parameter decreases the temperature distribution in the fin. Based on the high accuracy of the Galerkin’s method of weighted residual as displayed in this work, it is hoped that the simple analytical solutions given by the approximate analytical method will enhance the analysis of extended surfaces and also assist the designers.
    Źródło:
    World Scientific News; 2019, 138, 2; 167-191
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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