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    Wyświetlanie 1-4 z 4
    Tytuł:
    The complex Ginzburg Landau model for an oscillatory convection in a rotating fluid layer
    Autorzy:
    Manjula, S. H.
    Kiran, P.
    Reddy, P. Raj
    Bhadauria, B. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/266148.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    konwekcja
    teoria nieliniowa
    liczba Nusselta
    convection
    finite amplitude
    nonlinear theory
    rotation modulation
    Nusselt number
    Opis:
    A weakly nonlinear thermal instability is investigated under rotation speed modulation. Using the perturbation analysis, a nonlinear physical model is simplified to determine the convective amplitude for oscillatory mode. A non-autonomous complex Ginzburg-Landau equation for the finite amplitude of convection is derived based on a small perturbed parameter. The effect of rotation is found either to stabilize or destabilize the system. The Nusselt number is obtained numerically to present the results of heat transfer. It is found that modulation has a significant effect on heat transport for lower values of ωf while no effect for higher values. It is also found that modulation can be used alternately to control the heat transfer in the system. Further, oscillatory mode enhances heat transfer rather than stationary mode.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 1; 75-91
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Weakly nonlinear oscillatory convection in a viscoelastic fluid saturated porous medium with throughflow and temperature modulation
    Autorzy:
    Kiran, P.
    Narasimhulu, Y.
    Manjula, S. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/265198.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    przepływ
    modulacja temperatury
    teoria nieliniowa
    model Ginzburga-Landaua
    throughflow
    temperature modulation
    weak nonlinear theory
    complex Ginzburg-Landau model
    Opis:
    The effect of vertical throughfow and temperature modulation on a viscoelastic fluid saturated porous medium has been investigated. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small and the disturbances are expanded in terms of power series of amplitude of convection. A weak nonlinear stability analysis has been performed for the oscillatory mode of convection, and heat transport in terms of the Nusselt number, which is governed by the non autonomous complex Ginzburg- Landau equation, is calculated. The effect of vertical through flow is found to stabilize the system irrespective of the direction of through flow in the case of permeable boundary conditions. The time relaxation has a destabilizing effect, while the time retardation parameter has a stabilizing effect on the system. The effects of amplitude and frequency of modulation on heat transport have been analyzed and depicted graphically. The study shows that the heat transport can be controlled effectively by a mechanism that is external to the system. Further, it is also found that heat transfer is more in oscillatory mode of convection rather than in stationary mode of convection.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 635-653
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An alternative material model using a generalized J2 finite-strain flow plasticity theory with isotropic hardening
    Autorzy:
    Ecsi, L.
    Elesztos, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/264832.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    teoria plastyczności
    utwardzanie izotropowe
    odkształcenia plastyczne
    nonlinear continuum theory of finite deformations of elasto-plastic media
    generalized J2 flow plasticity theory with isotropic hardening
    objective and thermodynamically consistent formulationg
    Opis:
    In this paper an alternative material model using a generalized J2 finite-strain flow plasticity theory with isotropic hardening is presented. The model is based on a new nonlinear continuum mechanical theory of finite deformations of elasto-plastic media which allows for the development of objective and thermodynamically consistent material models. As a result, the constitutive equation, the evolution equation and even the ‘normality rule’, characterising the plastic flow in the material during return mapping, can be expressed in various forms, using several instances of the yield surface and corresponding pairs of stress measures and strain rates, respectively, which are conjugate with respect to the internal mechanical power and its arbitrary higher order time derivative. Therefore the results of the material model when used in numerical analyses are not affected by the description and particularities of the material model formulation. Here, we briefly outline the nonlinear continuum theory along with a detailed description of the material model and finally present the model in a numerical example using a cross-shaped specimen in biaxial tension.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 2; 339-353
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Static analysis of functionally graded plate using nonlinear classical plate theory with von-Karman strains
    Autorzy:
    Singh, S. J.
    Harsha, S. P.
    Powiązania:
    https://bibliotekanauki.pl/articles/265766.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    metoda Naviera
    teoria płyt
    odkształcenie
    functionally graded materials (FGM) plate
    Von-Karman strain
    nonlinear classical plate theory (NLCPT)
    Navier’s method
    Opis:
    The present study is based on the nonlinear bending analysis of an FGM plate with Von-Karman strain based on the non-linear classical plate theory (NLCPT) with in-plane displacement and moderate rotation. Non-linear bending analysis based on stresses and transverse deflections is then carried out for the plate for the complex solution obtained using an analytical method viz. Navier’s method. The equations of motion and boundary conditions are obtained using the Principle of Minimum Potential Energy (PMPE) method and material property is graded in thickness direction according to simple power-law distribution in terms of volume fractions of the constituents. The effect of the span-to-thickness ratio and FGM exponent on the maximum central deflection and stresses are studied. The results show that the response is transitional with respect to ceramic and metal and the complex solution predicts the real behavior of stresses and deflections in the functionally graded plate. The functionally graded plate is found to be more effective for moderately thick and thick plates, which is inferred by a complex nature of the solution. For FGM plates, the transverse deflection is in-between to that of metal and ceramic rich plates. The complex nature of the solution also gives information about the stress distribution in the thickness direction.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2018, 23, 3; 707-726
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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