Journal ArticleDOI
Computational and experimental investigations of two-dimensional nonlinear peristaltic flows
Thomas D. Brown,Tin-Kan Hung +1 more
TLDR
An implicit finite difference technique employing orthogonal curvilinear co-ordinates is used to solve the Navier-Stokes equations for peristaltic flows in which both the wall-wave curvature and the Reynolds number are finite as discussed by the authors.Abstract:
An implicit finite-difference technique employing orthogonal curvilinear co-ordinates is used to solve the Navier–Stokes equations for peristaltic flows in which both the wall-wave curvature and the Reynolds number are finite (§2). The numerical solutions agree closely with experimental flow visualizations. The kinematic characteristics of both extensible and inextensible walls (§3) are found to have a distinct influence on the flow processes only near the wall. Without vorticity, peristaltic flow observed from a reference frame moving with the wave will be equivalent to steady potential flow through a stationary wavy channel of similar geometry (§4). Solutions for steady viscous flow (§5) are obtained from simulation of unsteady flow processes beginning from an initial condition of potential peristaltic flow. For nonlinear flows due to a single peristaltic wave of dilatation, the highest stresses and energy exchange rates (§6) occur along the wall and in two instantaneous stagnation regions in the bolus core. A series of computations for periodic wave trains reveals that increasing the Reynolds number from 2[sdot ]3 to 251 yields a modest augmentation in the ratio of flow rate to Reynolds number but induces a much greater increase in the shear stress (§7.1). The transport effectiveness is markedly reduced for pumping against a mild adverse pressure drop (§7.2). Increasing the wave amplitude will lead to the development of travelling vortices within the core region of the peristaltic flow (§7.3).read more
Citations
More filters
Journal ArticleDOI
Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review
TL;DR: A comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given in this article, along with a general mathematical framework and error analysis common to such coordinate systems.
Journal ArticleDOI
The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope
Kh. S. Mekheimer,Y. Abd Elmaboud +1 more
TL;DR: In this paper, the influence of heat transfer and magnetic field on the peristaltic flow of Newtonian fluid in a vertical annulus under a zero Reynolds number and long wavelength approximation is discussed.
Journal ArticleDOI
Peristaltic transport in an asymmetric channel with heat transfer — A note
TL;DR: In this paper, a two-dimensional asymmetric channel with peristaltic wave train on the walls to have different amplitudes and phase was investigated. And the effect of Hartmann number, Eckert number, width of the channel and phase angle on temperature and coefficient of heat transfer were discussed numerically and explained graphically.
Journal ArticleDOI
Peristaltic transport of blood: Casson model--II.
L.M. Srivastava,V.P. Srivastava +1 more
TL;DR: The problem of peristaltic transport of blood in a uniform and non-uniform tube has been investigated, under zero Reynolds number and long wavelength approximation and it is found that, for a given flow rate, the pressure rise decreases as the viscosity of the peripheral layer decreases.
Journal ArticleDOI
Peristaltic flow of blood under effect of a magnetic field in a non-uniform channels
TL;DR: The effect of a magnetic field on peristaltic transport of blood in a non-uniform two-dimensional channels has been investigated under zero Reynolds number with long wavelength approximation and it is found that the pressure rise decreases as the couple-stress fluid parameter @c increases and increases as the Hartmann number M increases.
References
More filters
Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
Journal ArticleDOI
Peristaltic pumping with long wavelengths at low Reynolds number
TL;DR: In this article, the authors investigated the effect of peristaltic wave propagation on the flow of fluid in a tube and showed that the theoretical pressure rise per wavelength decreases linearly with increasing time-mean flow and that the percentage of reflux flow can be very high.
Peristaltic pumping with long wave lengths at low reynolds number.
TL;DR: In this paper, the authors investigated the effect of peristaltic wave propagation on the flow of fluid in the tube and showed that the theoretical pressure rise per wavelength decreases linearly with increasing time-mean flow, and that the percentage of reflux flow can be very high.
Journal ArticleDOI
Analysis of the Swimming of Microscopic Organisms
TL;DR: In this article, it was shown that if the waves down neighbouring tails are in phase, very much less energy is dissipated in the fluid between them than when the waves are in opposite phase.
Related Papers (5)
Peristaltic pumping with long wavelengths at low Reynolds number
Peristaltic pumping in circular cylindrical tubes: a numerical study of fluid transport and its efficiency
S. Takabatake,K. Ayukawa,A. Mori +2 more