A theoretical and numerical investigation of travelling wave induction microfluidic pumping in a temperature gradient

2014 ◽  
Vol 47 (7) ◽  
pp. 075501 ◽  
Author(s):  
Weiyu Liu ◽  
Yukun Ren ◽  
Jinyou Shao ◽  
Hongyuan Jiang ◽  
Yucheng Ding
Keyword(s):  
Temperature Gradient ◽  
Numerical Investigation ◽  
Travelling Wave ◽  
Microfluidic Pumping

Stationary instability of the buoyancy-layer flow between heated vertical planes

1985 ◽  
Vol 401 (1820) ◽  
pp. 145-161 ◽  
Keyword(s):  
Boundary Layer ◽  
Temperature Gradient ◽  
Travelling Wave ◽  
Reduced Form ◽  
Stationary Mode ◽  
Vertical Temperature Gradient ◽  
Vertical Temperature ◽  
Critical Mode ◽  
Layer Width ◽  
Layer Flow

The critical mode of instability is obtained for the buoyancy-driven boundary-layer flow between infinite vertical planes that are subject to a constant vertical temperature gradient and a constant horizontal temperature difference. The analysis is primarily concerned with the high Prandtl number limit when the critical disturbance occurs as stationary convection. The threshold of instability is found to correspond to the situation where a temperature change comparable with that across the layer occurs in a vertical distance of O ( R -1/8 l *), where R ( ≫ 1) is a Rayleigh number based on the vertical temperature gradient and the width of the layer, l *. Unlike the travelling wave instability found by A. E. Gill & A. Davey ( J. Fluid Mech . 35, 775 (1969)) the stationary mode is not confined to the boundary layers but consists of elongated horizontal rolls that stretch across the core region between the planes. The boundary layer-core interaction leads to the determination of the critical mode from the solution of a reduced form of the boundary-layer stability equations. The vertical wavelength of the instability is O ( R -1/8 l *), which is short compared with the distance between the planes but long compared with the boundary-layer width, which is O ( R -1/4 l *).

scholarly journals Numerical investigation on a travelling wave thermoacoustic heat pump

2018 ◽  
Vol 13 (2) ◽  
pp. JTST0022-JTST0022
Author(s):  
Maroua BEN NASR ◽  
Mohamed Mehdi BASSEM ◽  
Yuki UEDA ◽  
Amenallah GUIZANI
Keyword(s):  
Numerical Investigation ◽  
Heat Pump ◽  
Travelling Wave
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