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Transient Dean flow in a channel with suction/injection: A semi-analytical approach
Proceedings of the Institution of mechanical engineers. Part E, journal of process mechanical engineering, 2019The mathematical model responsible for fully developed laminar transient flow formation between the gaps of two stationary concentric porous tubes due to the imposition of azimuthal pressure gradient (Dean flow) is solved semi-analytically.
B. Jha, Y. Danjuma
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The Dean equations extended to a helical pipe flow
Journal of Fluid Mechanics, 1989In this paper the Dean (1928) equations are extended to the case of a helical pipe flow, and it is shown that they depend not only on the Dean number K but also on a new parameter λ/[Rscr ] where λ is the ratio of the torsion τ to the curvature κ of the pipe axis and [Rscr ] the Reynolds number referred in the usual way to the pipe radius a and ...
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Physics of Fluids A: Fluid Dynamics, 1992
The effects of inertia on the elastic instabilities in Dean and Taylor–Couette flows are investigated through a linear stability analysis. The critical conditions and the structure of the vortex flow at the onset of these instabilities are presented. The results reveal that the purely elastic Dean flow is destabilized by inertial effects.
Joo, Yong Lak, Shaqfeh, Eric S. G.
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The effects of inertia on the elastic instabilities in Dean and Taylor–Couette flows are investigated through a linear stability analysis. The critical conditions and the structure of the vortex flow at the onset of these instabilities are presented. The results reveal that the purely elastic Dean flow is destabilized by inertial effects.
Joo, Yong Lak, Shaqfeh, Eric S. G.
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Neutral curve behaviour in Taylor-Dean flow
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1987Numerical investigations reveal a class of neutral curve in infinite Taylor-Dean flow not previously observed. Based on the work of \textit{P. Hall} [J. Fluid Mech. 124, 475-494 (1982; Zbl 0503.76054)], asymptotic expansions at the high-wavenumber end of the neutral curves are given. Previously, an interpretation had been given by \textit{D. C. Raney},
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A semi-analytical approach for temperature distribution in Dean flow
Heat and Mass Transfer, 2013Numerical simulations of the flow field and heat transfer require the conjugate solution of the Navier–Stokes and energy equations, a highly compute-intensive process. Here a semi-analytical approach is proposed to solve the energy equation in curved pipes. It requires the flow velocity field, the wall temperature, and the temperature at only one point
Habchi, Charbel +5 more
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Dean’s flow of aqueous solution of poly(ethylene oxide)
Korean Journal of Chemical Engineering, 1996In this research the flow of Newtonian and drag reducing fluids through a helical tube,i.e.. Dean’s flow, was experimentally studied. The primary concern was to investigate the effect of added polymer on the secondary motion caused by the centrifugal force. The poiymer chosen in this study was poly(ethylene oxide) with the molecular weights of 300,000,
Yonghak Kim, Mu Kwon Yi, Chongyoup Kim
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Stability of Taylor-Dean flow in an annulus with arbitrary gap spacing
Physical Review E, 1993A linear stability analysis based on three-dimensional disturbances is implemented for the Taylor-Dean flow, a viscous flow driven simultaneously by a rotating inner cylinder and an azimuthal pressure gradient within an annulus with an arbitrary gap spacing.
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Dean Equations Extended to a Rotating Helical Pipe Flow
Journal of Engineering Mechanics, 2003In this paper, the fully developed laminar flow in a rotating helical elliptical pipe is examined theoretically. This study focuses on the combined effects of the rotation, the curvature, the torsion, and the shape of cross section. The secondary flow and the fluid particle trajectory are discussed for different elliptical cross sections in the range ...
Jinsuo Zhang, Benzhao Zhang
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Fluid Dynamics and Mass Transfer in Curved Reactors: A CFD Study on Dean Flow Effects
Journal of Environmental Chemical Engineering, 2022Jéssica Oliveira de Brito Lira +3 more
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Hydrodynamic stability of Taylor–Dean flow between rotating porous cylinders with radial flow
Physics of Fluids, 2003A linear stability analysis has been implemented for the Taylor–Dean flow between porous concentric rotating cylinders when radial flow is present. The stability equations with respect to both axisymmetric and nonaxisymmetric disturbances are derived and solved by a direct numerical procedure.
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