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Wyszukujesz frazę "Differential transformation method" wg kryterium: Temat

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    Wyświetlanie 1-7 z 7
    Tytuł:
    Differential Transform Method for the Kinetic Analysis of Thermal Inactivation of Enzyme as Applied in Biotechnology
    Autorzy:
    Adeleye, O. A.
    Sobamowo, M. G.
    Akinnukawe, B. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031487.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Analytical solution
    Differential transformation method
    Enzyme
    Kinetic analysis
    Thermal inactivation
    Opis:
    In this work, approximate analytical solution is developed using differential transformation method for finding the molar concentration of the native and denatured enzyme in terms of second-order rate constant. Also, the obtained solutions are used to study the kinetics of thermal inactivation of enzyme as applied in biotechnology. The analytical solution was validated with numerical solution using fourth- order Runge-Kutta. Good agreement was established between the numerical and approximated analytical solutions.
    Źródło:
    World Scientific News; 2020, 142; 135-149
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analytical investigation of heat transfer in a moving convective porous fin with temperature dependent thermal conductivity and internal heat generation
    Autorzy:
    Sobamowo, M. G.
    Waheed, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031762.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Convective fin
    Differential transformation method
    Moving fin
    Porous Fin
    Thermal analysis
    Opis:
    In the present study, thermal performance of a rectangular moving porous fin with temperature dependent thermal conductivity and internal heat generation are analyzed the differential transformation method. The developed approximate analytical solutions are used to investigate the effects of thermal –geometric and thermo-physical fin parameters such as the Peclet number, thermal conductivity parameter, convection parameter, porosity parameter, Internal heat generation parameter on the dimensionless temperature distribution and heat transfer rate are discussed. From the results, it is found that increase in porosity and convective parameters, the rate of heat transfer from the fin increases and consequently improve the efficiency of the fin. Also, the values of the temperature distribution in the fin increases as the Peclet number increases. However, as thermal conductivity and the internal heat generation increase, the rate of heat transfer from the fin decreases. The analytical solution is found to be in good agreement with the direct numerical solution.
    Źródło:
    World Scientific News; 2020, 150; 1-21
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Analysis of Jump and Bifurcation Phenomena in a Forced Vibration of Geometrical Nonlinear Cantilever Beam: Application of Differential Transformation Method
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Adeleye, O. A.
    Oyelade, A. O.
    Sadiq, O. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031911.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Bifurcation Phenomenon
    Differential transformation method
    Jump phenomenon
    Nonlinear vibration
    Phase plane
    Opis:
    One of the classical features exhibited in nonlinear dynamics of engineering systems is the jump phenomenon, which is the discontinuous change in the steady state response of a system as a parameter is slowly varied. Such phenomenon is characterized by large amplitude dynamic responses of systems to small amplitude disturbances. It is established that this phenomenon cannot be described by the standard asymptotic and perturbation methods because they are limited to the study of small amplitude responses to small disturbances. Therefore, this paper presents the application of differential transformation method-Padé approximant to the solution of jump and bifurcation phenomena for a geometrical nonlinear cantilever beam subjected to a harmonic excitation. The accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through a comparison of the results of the analytical solution with the corresponding results of the numerical solution obtained by fourth-order Runge-Kutta method and also with the results in a past study using harmonic balancing method. With the aid of the differential transformation method-Padé approximant, the effects of the nonlinear parameters in the model equation on the dynamic response of the beam are investigated. Also, the sensitivity of the beam to the external excitation amplitude is analyzed. In the distributed forced vibration, the jump phenomenon appeared in the response amplitude by variation of the excitation frequency while in the resonance frequency, the beat phenomenon with harmonic motion is seen for low level of excitation amplitude. At a certain frequency, the jump and bifurcation phenomena are seen in the curves of responses versus excitation amplitude. Additionally, the plots of the phase plane and time history of the system response are shown. It is established that the differential transformation method is a very useful mathematical tool for dealing with the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 140; 26-58
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the Efficiency of Differential Transformation Method to the Solutions of Large Amplitude Nonlinear Oscillation Systems
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Adeleye, O. A.
    Alozie, S. I.
    Salawu, S. A.
    Salami, M. O.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031949.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Analytical solution
    Differential transformation method
    Large amplitude
    Oscillation system
    Strong nonlinearity
    Opis:
    In this work, the efficiency of differential transformation method to the solutions of large amplitude nonlinear oscillatory systems is further established. Two cases of oscillation systems, nonlinear plane pendulum and pendulum in a rotating plane are considered. Without any linearization, discretization or series expansion of the sine and cosine of the angular displacement in the nonlinear models of the systems, the differential transformation method with Padé approximant is used to provide analytical solutions to the nonlinear problems. Also, the increased predictive power and the high level of accuracy of the differential transformation method over the previous methods are presented. The extreme accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through comparison of the results of the solution with the corresponding numerical solutions obtained by fourth-fifth-order Runge-Kutta method. Also, with the aid of the analytical solutions, parametric studies were carried to study the impacts of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The method avoids any numerical complexity and it is very simple, suitable and useful as a mathematical tool for dealing the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 139, 1; 1-60
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A comparative study of differential transformation and homotopy perturbation methods for transient combustion analysis for iron micro-particles in a gaseous oxidizing medium
    Autorzy:
    Yinusa, A. A.
    Sobamowo, M. G.
    Powiązania:
    https://bibliotekanauki.pl/articles/1046539.pdf
    Data publikacji:
    2019
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Differential transformation method
    Homotopy perturbation method
    Iron particle combustion
    Temperature distribution
    Thermal radiation
    Opis:
    In this paper, a comparative study of differential transformation and homotopy perturbation methods for transient combustion analysis of iron micro-particles in a gaseous oxidizing medium is presented. Also, parametric studies are carried out to properly understand the reaction of the process and the associated burning time. Thermal radiation effect from the external surface of burning particle and variation of iron particle density with temperature are considered. The solutions obtained by DTM and HPM are compared with those of the fourth order Runge-Kutta numerical method. Results show that DTM has more accurate results between the two approximate analytical methods considered. Also, results show that by increasing the heat realized parameter, combustion temperature increased and it faster reaches to its constant value. It is envisaged that the present study will create tremendous insight into means of properly managing combustible micro particles exiting factories and production process organization.
    Źródło:
    World Scientific News; 2019, 138, 2; 93-112
    2392-2192
    Pojawia się w:
    World Scientific News
    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:
    Nonlinear Analysis of a Large-Amplitude Forced Harmonic Oscillation System using Differential Transformation Method-Padé Approximant Technique
    Autorzy:
    Sobamowo, M. G.
    Yinusa, A. A.
    Oyekeye, M. O.
    Folorunsho, S. S.
    Powiązania:
    https://bibliotekanauki.pl/articles/1031931.pdf
    Data publikacji:
    2020
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Large amplitude; Oscillation system; Strong nonlinearity; Forced vibration; Differential transformation method-Padé approximant techniques
    Opis:
    This work presents the nonlinear analysis of forced harmonic oscillation system using differential transformation method-Padé approximant techniques. Without any series expansion of the included sine and cosine of the angular displacement in the nonlinear model of the system, an improved analytical solution of the dynamic model is presented. The high level of accuracy and validity of the analytical solutions obtained by the differential transformation method are shown through comparison of the results of the solution with the corresponding numerical solutions obtained by fourth-fifth-order Runge-Kutta method, homotopy perturbation method and energy balance methods. Also, with the aid of the analytical solutions, parametric studies are carried to study the impacts of the model parameters on the dynamic behavior of the large-amplitude nonlinear oscillation system. The method avoids any numerical complexity and it is very simple, suitable and useful as a mathematical tool for dealing the nonlinear problems.
    Źródło:
    World Scientific News; 2020, 140; 139-155
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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