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

Identyfikatory

DOI

10.17512/jamcm.2020.4.09

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

time-fractional order Navier-Stokes equation; Laplace decomposition method; LDM; Magnetohydrodynamics; MHD; dusty flow; non-Darcy porous medium

PL

ciecz newtonowska; przepływ cieczy nienewtonowskiej; Laplace Decomposition Method; LDM; magnetohydrodynamika; MHD

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 4
• Strony: 101--114
• Opis fizyczny: Bibliogr. 25 poz., rys., tab.

Twórcy

autor

Imo-Mani-Singha H.

• Department of Mathematics, Assam University Silchar, India

autor

Sengupta Sanjib

• Department of Mathematics, Assam University Silchar, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).