- 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