Non-isothermal slip flow over micro spherical particle at low Reynolds numbers

2018 ◽  
Vol 191 ◽  
pp. 19-30 ◽  
Author(s):  
Zhenyu Liu ◽  
Jun Zhou ◽  
Huiying Wu
Keyword(s):  
Spherical Particle ◽  
Slip Flow ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Low Reynolds ◽  
Isothermal Slip

scholarly journals The Effects of a Constant Bias Force on the Dynamics of a Periodically Forced Spherical Particle in a Newtonian Fluid at Low Reynolds Numbers

2010 ◽  
Author(s):  
K. Madhukar ◽  
T. R. Ramamohan ◽  
I. S. Shivakumara ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Spherical Particle ◽  
Newtonian Fluid ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Constant Bias ◽  
Low Reynolds

Slip flow past a tangential flat plate at low Reynolds numbers

1978 ◽  
Vol 85 (4) ◽  
pp. 731-742 ◽  
Author(s):  
Ko Tamada ◽  
Hiroyuki Miura
Keyword(s):  
Flat Plate ◽  
Stokes Equations ◽  
Equations Of Motion ◽  
Slip Flow ◽  
Reynolds Numbers ◽  
Velocity Change ◽  
Local Skin ◽  
Low Reynolds Numbers ◽  
Main Portion ◽  
Low Reynolds

In this paper the slip flow of viscous fluid at low Reynolds numbers past a flat plate aligned with the flow is studied theoretically on the basis of Oseen-Stokes equations of motion. An integral equation for the distribution of fundamental singularities representing the plate is derived and solved approximately in the vicinity of the edge and main portion of the plate. A formula for the local skin friction is obtained and discussed numerically. It is also shown that the slippage of the flow gives rise to reduction of the drag force on the plate by an amount O(K|ln K|), where K is the Knudsen number. The velocity change near the edge of the plate is of particular interest and is found to be logarithmically singular there.

scholarly journals No net motion for oscillating near-spheres at low Reynolds numbers

2019 ◽  
Vol 866 ◽  
Author(s):  
K. Lippera ◽  
O. Dauchot ◽  
S. Michelin ◽  
M. Benzaquen
Keyword(s):  
Spherical Particle ◽  
Acoustic Streaming ◽  
Reynolds Numbers ◽  
Higher Order ◽  
Low Reynolds Numbers ◽  
Low Reynolds

We investigate the flow around an oscillating nearly spherical particle at low, yet non-vanishing, Reynolds numbers ($Re$), and the potential resulting locomotion. We analytically demonstrate that no net motion can arise up to order one in $Re$ and order one in the asphericity parameter, regardless of the particle’s shape. Therefore, geometry-induced acoustic streaming propulsion, if any, must arise at higher order.

Investigation on the effect of leading edge tubercles of sweptback wing at low reynolds number

2020 ◽  
Vol 21 (6) ◽  
pp. 621
Author(s):  
Veerapathiran Thangaraj Gopinathan ◽  
John Bruce Ralphin Rose ◽  
Mohanram Surya
Keyword(s):  
Leading Edge ◽  
Reynolds Numbers ◽  
Sweep Angle ◽  
Laminar Separation ◽  
Low Reynolds Numbers ◽  
Flow Energy ◽  
Airplane Wing ◽  
Low Reynolds ◽  
Naca 0015 ◽  
Wing Performance

Aerodynamic efficiency of an airplane wing can be improved either by increasing its lift generation tendency or by reducing the drag. Recently, Bio-inspired designs have been received greater attention for the geometric modifications of airplane wings. One of the bio-inspired designs contains sinusoidal Humpback Whale (HW) tubercles, i.e., protuberances exist at the wing leading edge (LE). The tubercles have excellent flow control characteristics at low Reynolds numbers. The present work describes about the effect of tubercles on swept back wing performance at various Angle of Attack (AoA). NACA 0015 and NACA 4415 airfoils are used for swept back wing design with sweep angle about 30°. The modified wings (HUMP 0015 A, HUMP 0015 B, HUMP 4415 A, HUMP 4415 B) are designed with two amplitude to wavelength ratios (η) of 0.1 & 0.24 for the performance analysis. It is a novel effort to analyze the tubercle vortices along the span that induce additional flow energy especially, behind the tubercles peak and trough region. Subsequently, Co-efficient of Lift (CL), Co-efficient of Drag (CD) and boundary layer pressure gradients also predicted for modified and baseline (smooth LE) models in the pre & post-stall regimes. It was observed that the tubercles increase the performance of swept back wings by the enhanced CL/CD ratio in the pre-stall AoA region. Interestingly, the flow separation region behind the centerline of tubercles and formation of Laminar Separation Bubbles (LSB) were asymmetric because of the sweep.

Low Reynolds number flow around and heat transfer from a heated circular cylinder

2010 ◽  
Vol 1 (1-2) ◽  
pp. 15-20 ◽  
Author(s):  
B. Bolló
Keyword(s):  
Reynolds Number ◽  
Circular Cylinder ◽  
Lift Coefficient ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Reynolds Number Flow ◽  
Two Dimensional Flow ◽  
Number Flow ◽  
Low Reynolds ◽  
Increasing Temperature

Abstract The two-dimensional flow around a stationary heated circular cylinder at low Reynolds numbers of 50 < Re < 210 is investigated numerically using the FLUENT commercial software package. The dimensionless vortex shedding frequency (St) reduces with increasing temperature at a given Reynolds number. The effective temperature concept was used and St-Re data were successfully transformed to the St-Reeff curve. Comparisons include root-mean-square values of the lift coefficient and Nusselt number. The results agree well with available data in the literature.

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