The pulsating laminar flow in a rectangular channel
E.P. Valueva and M.S. Purdin
National Research University “Moscow Power Engineering Institute”, Moscow, Russia
E-mail: ep.valueva@gmail.com
Keywords: hydrodynamics, pulsation laminar flow, numerical simulation, microfluidics
Pages: 733–744
Abstract
The finite difference
method is used to solve the task of the developed pulsating
laminar flow in a rectangular channel. The optimum
of the difference scheme parameters was determined. Data on
the amplitude and phase of the longitudinal velocity
oscillations, the hydraulic and friction drag coefficients, the shear
stress on the wall have been obtained. Using the dimensionless value
of the frequency pulsations two characteristic regimes —
the quasi-steady-state regime and the high-frequency regime have been
identified. In the quasi-steady-state regime, the values of all
hydrodynamic quantities at each instant of time correspond to
the velocity value averaged over the cross section at a given
moment of time. It is shown that in the high-frequency regime,
the dependences on the dimensionless oscillation frequency
of oscillating components of hydrodynamic quantities are identical
for rectilinear channels with a different
cross-sectional form (round pipe, flat and a rectangular channels). The
effect of the aspect ratio of the rectangular channel sides
channel on the pulsating flow dynamics has been analyzed.
DOI: 10.1134/S0869864315060098
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