Abstract
The sole aim of this article is to examine the relative contribution of suction/injection parameter on Taylor–Dean flow in a composite annular gap partially filled with porous material. In the present setup, the Newtonian fluid flow is induced by the circumferential motion of both cylinders and pressure gradient imposed in the Azimuthal direction. The mathematical model governing the flow is rendered dimensionless using appropriate dimensionless quantities transformed using the Laplace transform technique. Using suitable Ansatz, the equation is reduced to the Bessel differential equations and solved. The solution of converted to the time domain using a well-known numerical scheme known as the Riemann-sum approximation. The variation of the Newtonian fluid for different flow parameters is presented graphically. The solution method is validated by obtaining the steady-state solution and also using the implicit finite different approach (IFD); comparison of the methods is depicted in tabular form (see Tables 1, 2). It is deduced generally that the Newtonian fluid is higher when injection at the outer cylinder except when Da is small also higher interfacial velocity can be achieved by taking positive value of beta.
Highlights
Several years back, the practical and theoretical steady of steady and time-dependent state of circumferential flow of Newtonian fluid in an annular duct has been of major interest to different researchers
The effect of the above parameters on fluid velocity, interfacial velocity, and skin friction on both surfaces presented in Figs. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12 is discussed below
This paper presents the contribution of angular rotation of both cylinders on transient azimuthal pressure-driven flow partially filled with porous materials
Summary
The practical and theoretical steady of steady and time-dependent state of circumferential flow of Newtonian fluid in an annular duct has been of major interest to different researchers. This can be attributed to its relevance in various fields of endeavors such as biofluid mechanics, Bio-medical, mechanical, and Hemodynamics engineering. The first and pioneering work in Laminar flow in annulus due to azimuthal pressure gradient was presented by Dean [1] This laudable and inspiring work has drawn many other researchers toward studying circumferential flow in different geometries. Gupta et al [9] theoretically examined the analytical solution responsible for pulsatile viscous flow
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