Pumping using thermal waves

It is shown that thermal waves applied on the bounding surface of a horizontal slot generate a pumping effect. Reynolds stress developed by the change in the flow field due to the thermal inertia associated with the penetration of the wave into the fluid interior drives the net fluid movement in the...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 966
Main Authors Hossain, M.Z., Floryan, J.M.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 06.07.2023
Subjects
Approximation
Bounding surface
Convection
Flow rates
Flow velocity
Fluid mechanics
Horizontal orientation
Inertia
JFM Papers
Prandtl number
Pumping
Rayleigh number
Reynolds stress
Saturation
Topography
Velocity
Viscosity
Wave amplitude
Wavelength
drag reduction
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Summary:It is shown that thermal waves applied on the bounding surface of a horizontal slot generate a pumping effect. Reynolds stress developed by the change in the flow field due to the thermal inertia associated with the penetration of the wave into the fluid interior drives the net fluid movement in the horizontal direction. The induced flow rate increases with the wave speed, but excessive wave speed reduces it as convection becomes limited only in the near-wall area. The excessive increase of the wavelength and its excessive decrease reduce the flow rate. An increase in the wave amplitude increases the flow rate with a saturation limiting its growth. Judicious selection of the wave speed and wavelength of a thermal wave provides a means for optimizing the wave-induced pumping. The magnitude of the pumping increases with a reduction of Prandtl number.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2023.458