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Wyświetlanie 1-15 z 107
Tytuł:
Application of Differential Transform Method to triple diffusion convective boundary layer flow of Casson nanofluid over a horizontal plate
Autorzy:
Asha, S. K.
Mali, Gayitri
Powiązania:
https://bibliotekanauki.pl/articles/1839391.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Differential Transformation Method
Casson nanofluid
horizontal plate
Opis:
In this paper, triple diffusive convective boundary layer flow of Casson nanofluid along a horizontal plate is investigated theoretically when nonlinear thermal radiation impact is considered. The suitable similarity transformations is utilized for the reduction of a set of basic governing nonlinear PDEs into nonlinear non-dimensional ODEs. By using differential Transform Method (DTM) with the help of symbolic software Mathematica, the reduced nonlinear non-dimensional ordinary differential equations are solved. Further, velocity, temperature, solutal and nanofluid concentration profiles are presented graphically and studied in details by using various physical parameters.
Źródło:
World Scientific News; 2021, 162; 161-178
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A review: differential transform method for semi-analytical solution of differential equations
Autorzy:
Rashidi, M. M.
Rabiei, F.
Naser Nia, S.
Abbasbandy, S.
Powiązania:
https://bibliotekanauki.pl/articles/265637.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda transformacji różniczkowej
równania różniczkowe
metoda półanalityczna
differential transform method
differential transform - Pad'e approximation
semi-analytical method
differential equations
fuzzy differential transformation method
gS-differentiability
Opis:
In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed. First, basic definitions and formulas of DTM and Differential Transform-Padé approximation (DTM-Padé), which are used to increase the convergence and accuracy of DTM approximations, are discussed. Then both techniques of DTM and DTM-Padé, which have been successfully applied to partial differential equations, as well as the application of these methods in fluid mechanic and heat transfer are presented. In addition, the extension of DTM for integral differential equations and the fuzzy differential transformation method (FDTM) for fuzzy problems are discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 2; 122-129
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the differential transform method to the free vibration analysis of functionally graded timoshenko beams
Autorzy:
Özdemir, Ö.
Powiązania:
https://bibliotekanauki.pl/articles/281244.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
differential transform method
functionally graded beam
Timoshenko beam
Opis:
In this study, free vibration characteristics of a functionally graded Timoshenko beam that undergoes flapwise bending vibration is analysed. The energy expressions are derived by introducing several explanotary figures and tables. Applying Hamilton’s principle to the energy expressions, governing differential equations of motion and boundary conditions are obtained. In the solution part, the equations of motion, including the parameters for rotary inertia, shear deformation, power law index parameter and slenderness ratio are solved using an efficient mathematical technique, called the differential transform method (DTM). Natural frequencies are calculated and effects of several parameters are investigated.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1205-1217
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of hydrogen peroxide and lead(II) nitrate on gold cyanide leaching of Malaysian mesothermal deposit gold ore
Autorzy:
Baharun, Norlia
Ling, Ong Pek
Ardani, Mohammad Rezaei
Ariffin, Kamar Shah
Powiązania:
https://bibliotekanauki.pl/articles/1845218.pdf
Data publikacji:
2020
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
gold cyanidation
mesothermal lode gold
statistical analysis
design of experiment
Van’t Hoff differential method
Opis:
The gold extraction from Malaysian mesothermal lode gold ore through the cyanidation method was performed. The effect of hydrogen peroxide (H2O2) and lead nitrate Pb(NO3)2 were investigated on the percentage of gold recovery. The statistical analysis method using a response surface design-central composite design was applied to find the optimum condition for gold extraction. The studied parameters were NaCN concentration (300-500 ppm), H2O2 concentration (205-410 ppm), and Pb(NO3)2 concentration (50-150 ppm). It was found that increasing the amount of NaCN and H2O2 as well as decreasing the amount of Pb(NO3)2 in the studied range, increased the gold recovery. The analysis of variance suggested the linear model for the gold extraction with the optimum condition at 467.3 ppm NaCN, 94.96 ppm Pb(NO3)2, and 340 ppm H2O2. The gold extracted from the ore at the optimum condition was 88.97% as compared to 62.02% from conventional cyanidation. The characterization study of the gold ore indicated that the finely gold particles interlocked in the aluminosilicate phase (grain size of ~10.0 μm). The Van’t Hoff differential method justified that the cyanidation was of second order with a specific reaction rate of 0.0501/hour.
Źródło:
Physicochemical Problems of Mineral Processing; 2020, 56, 5; 905-918
1643-1049
2084-4735
Pojawia się w:
Physicochemical Problems of Mineral Processing
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
Three-dimensional thermal buckling analysis of functionally graded cylindrical panels using differential quadrature method (DQM)
Autorzy:
Ahmadi, S. A.
Pourshahsavari, H.
Powiązania:
https://bibliotekanauki.pl/articles/949112.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
thermal buckling
curved panel
functionally graded material
differential quadrature method
Opis:
Thermal buckling analysis of functionally graded cylindrical panels subjected to various conditions is discussed in this paper. Buckling governing equations are solved using the differential quadrature method. It is assumed that the mechanical properties of the panel are graded through thickness according to a power function of the thickness variable. The panel is assumed to be under the action of three types of thermal loading including uniform temperature rise and variable temperature rise in the axial and radial direction. In the present study, the effects of power law index, panel angle, different thermal load conditions and geometric parameters on the buckling behavior of functionally graded curved panels are studied. The results obtained through the present method are compared to the finite element solutions and the reported results in the literature. A desirable compatibility is concluded.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 1; 135-147
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free vibration analysis of isotropic rectangular plates on Winkler foundation using differential transform method
Autorzy:
Kumar, Y.
Powiązania:
https://bibliotekanauki.pl/articles/265747.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda transformacji
izotropia
differential transform method
isotropic
rectangular
Winkler foundation
Opis:
A differential transform method (DTM) is used to analyze free transverse vibrations of isotropic rectangular plates resting on a Winkler foundation. Two opposite edges of the plates are assumed to be simply supported. This semi-numerical-analytical technique converts the governing differential equation and boundary conditions into algebraic equations. Characteristic equations are obtained for three combinations of clamped, simply supported and free edge conditions on the other two edges, keeping one of them to be simply supported. Numerical results show the robustness and fast convergence of the method. Correctness of the results is shown by comparing with those obtained using other methods.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 589-597
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
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:
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:
Analysis of axially loaded tapered beams with general end restraints on two-parameter foundation
Autorzy:
Taha, M. H.
Nassar, M.
Powiązania:
https://bibliotekanauki.pl/articles/280518.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
tapered beams
elastic end restraints
two-parameter foundation
differential quadrature method
Opis:
The stability and free vibration of axially-loaded tapered beams with elastic end restraints resting on two-parameter foundations are studied using the differential quadrature method (DQM). The governing differential equation is discretized at sampling points, and then the boundary conditions due to elastic end restraints are implemented and substituted into the governing differential equation yielding a system of homogeneous algebraic equations. The equivalent two-parameter eigenvalue problem is obtained and solved for critical loads in the static case and for natural frequencies in the dynamic case. The obtained solutions are found compatible with those obtained from other techniques. The influences of different parameters on the critical loads and natural frequencies are investigated.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 1; 215-225
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal and fluid analysis on effects of a nanofluid outside of a stretching cylinder with magnetic field using the Differential Quadrature Method
Autorzy:
Ghasemi, S. E.
Hatami, M.
Salarian, A.
Domairry, G.
Powiązania:
https://bibliotekanauki.pl/articles/281394.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
nanofluids
Differential Quadrature Method (DQM)
heat transfer
streching cylinder
magnetic field
Opis:
In this paper, magnetohydrodynamic flow (MHD) of a nonofluid over a stretching cylinder is investigated numerically. The Differential Quadrature Method (DQM) is applied for solving the governing equations. The influence of relevant parameters such as the magnetic parameter, the solid volume fraction of nanoparticles and the type of nanofluid on the flow, heat transfer, Nusselt number and skin friction coefficient is discussed. Also, comparison with the published results is presented. The results show that the Nusselt number increases with growth in the volume fraction coefficient and Reynolds number but decreases with the magnetic parameter.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 517-528
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Methods based on the differential quadrature in vibration analysis of plates
Metody oparte na kwadraturach różniczkowych w zastosowaniu do drgań płyt
Autorzy:
Krowiak, A.
Powiązania:
https://bibliotekanauki.pl/articles/281788.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
kwadratury różniczkowe
drgania własne
differential quadrature method
spline interpolation
free vibration
Opis:
The paper deals with the methods based on the differential quadrature and their application to the free vibration analysis of plates. The spline-based differential quadrature Method (SDQM) is presented as an alternative to known methods based on the interpolation polynomial (PDQM). The SDQM uses a polynomial piecewise function to approximate the wanted solution of a governing equation. The way of determining the spline functions as well as the way of computing weighting coefficients for the method are presented in the paper. Then the SDQM is applied to determine natural frequencies of plates. The influence of the spline degree, number of nodes and grid point distribution on the accuracy, convergence and stability is investigated in an example. All results are compared with values obtained by the conventional differential quadrature method (PDQM).
Praca dotyczy metod opartych na kwadraturach różniczkowych i ich aplikacji do zagadnienia drgań własnych płyt. W pracy, jako alternatywę do znanych metod kwadratur różniczkowych, opartych na wielomianie interpolacyjnym (PDQM), przedstawiono metodę bazującą na funkcjach sklejanych (SDQM). W SDQM poszukiwane rozwiązanie przybliżane jest funkcją wielomianową, przedziałami zmienną. W pracy przedstawiono sposób wyznaczenia takiej funkcji interpolacyjnej, jak również sposób obliczenia współczynników wagowych, używanych w metodzie kwadratur różniczkowych. Następnie SDQM użyto do wyznaczenia częstości drgań własnych płyt, gdzie analizowano wpływ stopnia wielomianu, liczby węzłów i ich rozmieszczenia na zbieżność, dokładność i stabilność metody. Otrzymane rezultaty porównano z wynikami uzyskanymi przy pomocy konwencjonalnej metody kwadratur różniczkowych (PDQM).
Źródło:
Journal of Theoretical and Applied Mechanics; 2008, 46, 1; 123-139
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
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:
Application of the multi-step differential transform method to solve a fractional human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells
Autorzy:
Zurigat, M.
Ababneh, M.
Powiązania:
https://bibliotekanauki.pl/articles/357712.pdf
Data publikacji:
2015
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
fractional differential equations
differential transform method
HTLV-I
numerical solution
równanie różniczkowe cząstkowe
obliczenia numeryczne
Opis:
Human T-cell Lymphotropic Virus I (HTLV-I) infection of $CD4^{+}$ T-Cells is one of the causes of health problems and continues to be one of the significant health challenges. In this article, a multi-step differential transform method is implemented to give approximate solutions of fractional modle of HTLV-I infection of $CD4^{+}$ T-cells. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method in the case of intger-order derivatives. The suggested method is efficient as the Runge-Kutta method. Some plots are presented to show the reliability and simplicity of the method.
Źródło:
Journal of Mathematics and Applications; 2015, 38; 171-180
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 107

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