Journal ArticleDOI
Stability characteristics of suspension flow through wavy-walled channels
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TLDR
In this article, a numerical study of the linear temporal stability characteristics of particulate suspension flow through a converging-diverging symmetric wavy-walled channel is considered.Abstract:
A numerical study of the linear temporal stability characteristics of particulate suspension flow through a converging-diverging symmetric wavy-walled channel is considered. The basic flow is a superposition of plane channel flow of particulate suspension and periodic flow components arising due to the small amplitude sinusoidal waviness of the channel walls. The disturbance equations are derived within the framework of Floquet theory and solved using the spectral collocation method. The effects of small amplitude sinusoidal waviness of the channel walls and those of the presence of particles on the initial growth of the disturbances are examined. Two-dimensional stability calculations for particulate suspensions indicate the presence of fast growing unstable modes that arise due to the waviness of the walls. Neutral stability calculations are performed in the disturbances wavenumber-Reynolds number (αs−Re) plane, for the wavy channel with representative values of wavenumber (λ) and the wall amplitude to semi-channel height ratio (∈w) for different values of volume fraction density of the particles (C). It is observed that the critical Reynolds number for transition decreases with increase of ∈w and C. However, the flow can be modulated by suitable wall excitation which in turn can stabilize the flow.read more
Citations
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Journal ArticleDOI
Analytical study on liquid-solid particles interaction in the presence of heat and mass transfer through a wavy channel
Journal ArticleDOI
Functional organization of the vascular network of Physarum polycephalum
TL;DR: The plasmodium of the slime mould Physarum polycephalum forms a transportation network of veins, in which protoplasm is transported due to peristaltic pumping, and data from real transportation networks have now become available for the investigation of network properties.
Journal ArticleDOI
Particle focusing in a suspension flow through a corrugated tube
TL;DR: In this article, a simulation of particle focusing in a corrugated tube is performed using a discrete-element method (DEM) and the results are compared to an asymptotic approximation valid for low Stokes numbers.
Journal ArticleDOI
Peristaltic transport of small particles--power law fluid suspension in a channel.
P. Nagarani,G. Sarojamma +1 more
TL;DR: Peristaltic motion of a non-Newtonian, incompressible power law fluid with suspension of small particles in a twodimensional channel is analyzed and the behaviour of the axial velocity of fluid and solid particles has been discussed.
References
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Book
Theory of Ordinary Differential Equations
TL;DR: The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable as discussed by the authors, which is a useful text in the application of differential equations as well as for the pure mathematician.
Book
Spectral Methods in Fluid Dynamics
M. Y. Hussaini,Thomas A. Zang +1 more
TL;DR: Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.
Journal ArticleDOI
Spectral Methods in Fluid Dynamics.
TL;DR: In this article, the authors present a set of methods for the estimation of two-dimensional fluid flow, including a Fourier Galerkin method and a Chebyshev Collocation method.
Journal ArticleDOI
The lift on a small sphere in a slow shear flow
TL;DR: In this article, it was shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to streamline through the centre, experiences a lift force 81·2μVa2k½/v½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamline moving in the direction opposite to V.