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Tytuł:
A fault location method for hybrid transmission lines based on empirical Fourier decomposition
Autorzy:
Tao, Caixia
Xing, Baosheng
Li, Taiguo
Powiązania:
https://bibliotekanauki.pl/articles/27309957.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
empirical Fourier decomposition
fault location
hybrid lines
Teager energy operator
traveling wave method
Opis:
This paper aims to address the problems of inaccurate location and large computation in hybrid transmission line traveling wave detection methods. In this paper, a new fault location method based on empirical Fourier decomposition (EFD) and the Teager energy operator (TEO) is proposed. Firstly, the combination of EFD and the TEO is used to detect the time difference between the arrival of the initial traveling wave of the fault at the two measurement ends of the hybrid line. Then, when the fault occurs at the midpoint of each line segment and at the connection point of the hybrid line, the time difference between the arrival of the fault traveling wave at the two measurement ends of the line is calculated according to the line parameters. By comparing the obtained time differences, it is determined whether the fault occurs in the first or second half of the line. Finally, the fault distance is calculated using the double-ended traveling wave method according to the fault section. The model was built on PSCAD and the proposed algorithm was simulated on MATLAB platform. The results demonstrate that the proposed method achieves an average fault location accuracy of 98.88% by adjusting transition resistances and fault distances and comparing with other location methods. After validation, the proposed method for locating faults has a high level of accuracy in location, computational efficiency, and reliability. It can accurately identify fault segments and locations in hybrid transmission line systems.
Źródło:
Archives of Electrical Engineering; 2023, 72, 4; 1035--1053
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate solution of painlevé equation i by natural decomposition method and laplace decomposition method
Autorzy:
Amir, Muhammad
Haider, Jamil Abbase
Ahmad, Shahbaz
Ashraf, Asifa
Gul, Sana
Powiązania:
https://bibliotekanauki.pl/articles/2233067.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
natural decomposition method
Laplace decomposition method
series solution
Adomain polynomial
Painlevéequation
Opis:
The Painlevé equations and their solutions occur in some areas of theoretical physics, pure and applied mathematics. This paper applies natural decomposition method (NDM) and Laplace decomposition method (LDM) to solve the second-order Painlevé equation. These methods are based on the Adomain polynomial to find the non-linear term in the differential equation. The approximate solution of Painlevé equations is determined in the series form, and recursive relation is used to calculate the remaining components. The results are compared with the existing numerical solutions in the literature to demonstrate the efficiency and validity of the proposed methods. Using these methods, we can properly handle a class of non-linear partial differential equations (NLPDEs) simply. Novelty: One of the key novelties of the Painlevé equations is their remarkable property of having only movable singularities, which means that their solutions do not have any singularities that are fixed in position. This property makes the Painlevé equations particularly useful in the study of non-linear systems, as it allows for the construction of exact solutions in certain cases. Another important feature of the Painlevé equations is their appearance in diverse fields such as statistical mechanics, random matrix theory and soliton theory. This has led to a wide range of applications, including the study of random processes, the dynamics of fluids and the behaviour of non-linear waves.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 3; 417--422
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative
Autorzy:
Mansouri, Ikram
Bekkouche, Mohammed Moumen
Ahmed, Abdelaziz Azeb
Powiązania:
https://bibliotekanauki.pl/articles/2202061.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Caputo-Fabrizio fractional derivative
fractional integral
coupled system
fractional differential equation
fixed point
Adomian decomposition method
pochodna ułamkowa Caputo-Fabrizio
całkowanie ułamkowe
system sprzężony
ułamkowe równanie różniczkowe
punkt stały
metoda dekompozycji Adomiana
Opis:
Within this work, we discuss the existence of solutions for a coupled system of linear fractional differential equations involving Caputo-Fabrizio fractional orders. We prove the existence and uniqueness of the solution by using the Picard-Lindel ̈of method and fixed point theory. Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution. Numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 46--56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oddziaływanie terms of trade na wzrost gospodarczy w Polsce
The impact of terms of trade on economic growth in Poland
Autorzy:
Marczewski, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/18104544.pdf
Data publikacji:
2023-01-13
Wydawca:
Szkoła Główna Handlowa w Warszawie. Kolegium Zarządzania i Finansów
Tematy:
terms of trade
social welfare
Törnqvist index
decomposition method
factors of economic growth
dobrobyt społeczny
indeks Törnqvista
metoda dekompozycyjna
czynniki wzrostu gospodarczego
Opis:
Znaczne zmiany terms of trade mają istotny wpływ na kształtowanie się salda obrotów handlu zagranicznego, strukturę podziału PKB oraz dobrobyt społeczny. W artykule rozpatrywany jest wpływ terms of trade na wzrost gospodarczy w Polsce w ujęciu dobrobytowym. Omówione zostały podstawy teoretyczne zagadnienia, proste wskaźniki pomiaru wpływu terms of trade na PKB oraz zastosowana w badaniu metoda dekompozycyjna U. Kohliego. W części empirycznej przedstawione zostały wyniki obliczeń, na tle innych czynników produkcji, oddziaływania terms of trade na tempo wzrostu gospodarczego Polski w latach 1995–2020. Stwierdzono wyraźnie pozytywny wkład terms of trade we wzrost w okresie po przystąpieniu Polski do Unii Europejskiej.
The terms of trade have a significant impact on the balance of foreign trade turnover, the structure of GDP distribution, and social welfare. The article examines the impact of terms of trade on economic growth in Poland in welfare terms. The theoretical basis of the issue, simple indicators for measuring the impact of terms of trade on GDP, and the decomposition method of U. Kohli used in the study were discussed. The empirical part presents the results of calculations, compared to other factors of production, of the impact of terms of trade on the rate of Polish economic growth in the years 1995–2020. The clearly positive contribution of the terms of trade to growth in the period following Poland’s accession to the European Union was found.
Źródło:
Studia i Prace Kolegium Zarządzania i Finansów; 2022, 185; 9-21
1234-8872
2657-5620
Pojawia się w:
Studia i Prace Kolegium Zarządzania i Finansów
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the blowing up solutions of the 4-d general q-Kuramoto-Sivashinsky equation with exponentially “dominated” nonlinearity and singular weight
Autorzy:
Baraket, Sami
Mahdaoui, Safia
Ouni, Taieb
Powiązania:
https://bibliotekanauki.pl/articles/29519212.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
singular limits
Green’s function
nonlinearity
gradient
nonlinear domain decomposition method
Opis:
Let Ω be a bounded domain in $ \mathbb{R}^4 $ with smooth boundary and let $ x^1, x^2, . . . , x^m $ be m-points in Ω. We are concerned with the problem $ \Delta^2 u - H(x, u, D^k u)=\rho^4 \prod_{i=1}^n | x - p_i |^{4 \alpha_i } f(x)g(u), $ where the principal term is the bi-Laplacian operator, $ H(x, u, D^k u)$ is a functional which grows with respect to $ Du $ at most like $ |Du|^q, 1 ≤ q ≤ 4, f : Ω → [0,+∞[ $ is a smooth function satisfying f(pi) > 0 for any i = 1, . . . , n, $ α_i $ are positives numbers and $ g : \mathbb{R} → [0,+∞[ $ satisfy $ |g(u)| ≤ ce^u $. In this paper, we give sufficient conditions for existence of a family of positive weak solutions $ (u_ρ)_{ρ>0} $ in Ω under Navier boundary conditions u = Δu = 0 on ∂Ω. The solutions we constructed are singular as the parameters ρ tends to 0, when the set of concentration $ S = {x^1, . . . , x^m} ⊂ Ω $ and the set $ Λ := {p_1, . . . , p_n} ⊂ Ω $ are not necessarily disjoint. The proof is mainly based on nonlinear domain decomposition method.
Źródło:
Opuscula Mathematica; 2023, 43, 1; 5-18
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of fractional heat-like and fractional wave-like equation by using modern strategy
Autorzy:
Mohamed, Zain El Abden
Hamza, Amjad
Elzaki, Tarig
Algolam, Mohamed
Elhussein, Shiraz
Powiązania:
https://bibliotekanauki.pl/articles/2233715.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
fractional-order wave-like equation
fractional-order heat-like equation
initial-boundary value problem
Adomian decomposition method
Opis:
This paper introduces a novel form of the Adomian decomposition (ADM) method for solving fractional-order heat-like and wave-like equations with starting and boundary value problems. The derivations are provided in the sense of Caputo. In order to help understanding, the generalised formulation of the current approach is provided. Several numerical examples of fractional-order diffusion-wave equations (FDWEs) are solved using the suggested method in this context. In addition to examining the applicability of the suggested method to the solving of fractional-order heat-like and wave-like equations, a graphical depiction of the solutions to three instructive cases was constructed. Solution graphs were arrived at for integer and fractional-order problems. The derived and exact solutions to integer-order problems were found to be in excellent agreement. The subject of the present research endeavour is the convergence of fractional-order solutions. This strategy is considered to be the most successful way of addressing fractional-order initial-boundary value issues in science and engineering. This strategy is presented here.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 3; 372--380
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of the modified time fractional coupled burgers equations using laplace adomian decompostion method
Autorzy:
Omame, Andrew
Zaman, Fiazud Din
Powiązania:
https://bibliotekanauki.pl/articles/2204660.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
Burgers equations
fractional derivatives
Laplace Adomian decomposition method
semi-analytic solutions
simulations
Opis:
In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two different scenarios are examined for each fractional operator: when the initial conditions are u(x,y,0) = sin(xy), v(x,y,0) = sin(xy), and when they are u(x,y,0) = e{−kxy}, v(x,y,0) = e{−kxy}, where k,α are some positive constants. With the aid of computable Adomian polynomials, the solutions are obtained using Laplace Adomian decomposition method (LADM). The method does not need linearization, weak nonlinearity assumptions or perturbation theory. Simulations are also presented to support theoretical results, and the behaviour of the solutions under the three different fractional operators compared.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 1; 124--132
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comprehensive cycloid pin-wheel precision reducer test platform integrated with a new dynamic measurement method of lost motion
Autorzy:
Yue, Huijun
Wu, Xiangkai
Shi, Zhaoyao
Zhang, Yue
Ye, Yong
Zhang, Lintao
Fu, Ying
Powiązania:
https://bibliotekanauki.pl/articles/2052087.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
cycloid pin-wheel precision reducer
RV reducer
test platform
comprehensive performance
dynamic measurement of lost motion
decomposition test method
Opis:
While cycloid pin-wheel precision reducers (referred to as RV reducers) are widely used in industrial robots, a widely accepted design standard or verification method of their test platforms is not available. In this study, a comprehensive sliding-separation test platform of RV reducers was developed. The test platform can test various measurement items such as transmission error, static measurement of lost motion, dynamic measurement of lost motion, torsional rigidity, no-load running torque, starting torque, backdriving torque, and transmission efficiency of the RV reducer for robots. The principle and method of dynamic measurement of lost motion tests based on the two-way transmission error method were studied and this test function was successfully integrated with the comprehensive test platform in order to increase the test items of the dynamic performance parameters of RV reducers. The measurement results of the no-load running torque of the RV reducer were consistent with the Stribeck curve. Based on the concept of optimal measurement speed, a decomposition test method of the geometric component of the dynamic measurement of lost motion and the elastic component of the dynamic measurement of lost motion was proposed in the dynamic measurement test of lost motion. Through precision calibration, function test and repeatability test, the results were compared with the data of enterprise’s samples. The consistent results have proved that the test platform met engineering requirements and measurement accuracy requirements. Based on the new test principle, the developed platform can test more parameters of RV reducers with high precision and display the comprehensive test performance.
Źródło:
Metrology and Measurement Systems; 2022, 29, 1; 207-229
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solutions of Benjamin-Bona-Mahony, modified Camassa-Holm and Degasperis Procesi equations using an iterative method
Autorzy:
Kumar, Manoj
Powiązania:
https://bibliotekanauki.pl/articles/2202030.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear Bejamin-Bona-Mahony equation
modified Camassa-Holm equation
modified Degasperis-Procesi equation
Daftardar-Gejji and Jafari method
homotopy perturbation method
Adomian decomposition method
nieliniowe równanie Bejamina-Bony-Mahony'ego
zmodyfikowane równanie Camassy-Holma
zmodyfikowane równanie Degasperisa-Procesiego
metoda Daftardara-Gejji i Jafari
metoda perturbacji homotopii
metoda dekompozycji Adomiana
Opis:
In the present paper, we solve the non-linear Benjamin-Bona-Mahony, modified Camassa-Holm, and Degasperis-Procesi equations using an iterative method introduced by Daftardar-Gejji and Jafari. Results are compared with those obtained by other iterative methods such as the Adomian decomposition method and homotopy perturbation method. It is observed that the proposed method is computationally inexpensive and yields more accurate solutions than the Adomian decomposition method and the homotopy perturbation method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 59--72
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New iterative method of solving nonlinear equations in fluid mechanics
Autorzy:
Palivets, M.
Andreev, E.
Bakshtanin, A.
Benin, D.
Snezhko, V.
Powiązania:
https://bibliotekanauki.pl/articles/2106452.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
trzęsienie ziemi
mechanika płynów
porowatość
Adomian Decomposition Method ADM
earthquake
filtration
fluid mechanics
iterative method
nonlinear fractional partial differential equations
porous medium
Opis:
This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed to find an exact solution of the fractional wave equation and fractional Burgers’ equation, as well as an approximate solution of fractional KdV equation and fractional Boussinesq equation. Fractional derivatives of the order are described using Caputo's definition with 01<α≤ or 12<α≤. A comparative analysis of the results obtained using a new iterative method with those obtained by the Adomian decomposition method showed the first method to be more efficient and simple, providing accurate results in fewer computational operations. Given its flexibility and ability to solve nonlinear equations, the iterative method can be used to solve more complex linear and nonlinear fractional partial differential equations.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 3; 163--176
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/1839797.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Bratu’s initial value problem
Caputo fractional derivative
Caputo-Fabrizio fractional derivative
natural transform method
Adomian decomposition method
ułamkowa pochodna Caputo
ułamkowa pochodna Caputo-Fabrizio
metoda transformacji naturalnej
metoda dekompozycji Adomiana
Opis:
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 43-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/122619.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Bratu’s initial value problem
Caputo fractional derivative
Caputo-Fabrizio fractional derivative
natural transform method
Adomian decomposition method
ułamkowa pochodna Caputo
ułamkowa pochodna Caputo-Fabrizio
metoda transformacji naturalnej
metoda dekompozycji Adomiana
Opis:
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 43-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Derivative free optimal thrust allocation in ship dynamic positioning based on direct search algorithms
Autorzy:
Valčić, M.
Prpić-Oršić, J.
Powiązania:
https://bibliotekanauki.pl/articles/116991.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
algorithm
dynamic positioning
direct search algorithms
sequential quadratic programing (SQP)
Singular Values Decomposition (SVD)
Lagrangian Multiplier Method (LMM)
Direct Search (DS)
Mesh Adaptive Direct Search (MADS)
Opis:
In dynamic positioning systems, nonlinear cost functions, as well as nonlinear equality and inequality constraints within optimal thrust allocation procedures cannot be handled directly by means of the solvers like industry-standardized quadratic programing (QP), at least not without appropriate linearization technique applied, which can be computationally very expensive. Thus, if optimization requirements are strict, and problem should be solved for nonlinear objective function with nonlinear equality and inequality constraints, than one should use some appropriate nonlinear optimization technique. The current state-of-the-art in nonlinear optimization for gradient-based algorithms is surely the sequential quadratic programing (SQP), both for general applications and specific thrust allocation problems. On the other hand, in recent time, one can also notice the increased applications of gradient-free optimization methods in various engineering problems. In this context, the implementation of selected derivative free direct search algorithms in optimal thrust allocation is proposed and discussed in this paper, and avenues for future research are provided.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2020, 14, 2; 309-314
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
Autorzy:
Imo-Mani-Singha, H.
Sengupta, Sanjib
Powiązania:
https://bibliotekanauki.pl/articles/1839728.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
time-fractional order Navier-Stokes equation
Laplace decomposition method
LDM
Magnetohydrodynamics
MHD
dusty flow
non-Darcy porous medium
ciecz newtonowska
przepływ cieczy nienewtonowskiej
Laplace Decomposition Method
magnetohydrodynamika
Opis:
In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 101-114
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
Autorzy:
Imo-Mani-Singha, H.
Sengupta, Sanjib
Powiązania:
https://bibliotekanauki.pl/articles/1839832.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
time-fractional order Navier-Stokes equation
Laplace decomposition method
LDM
Magnetohydrodynamics
MHD
dusty flow
non-Darcy porous medium
ciecz newtonowska
przepływ cieczy nienewtonowskiej
Laplace Decomposition Method
magnetohydrodynamika
Opis:
In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 101-114
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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