Numerical shape optimization in Fluid Mechanics at low Reynolds number

2019 ◽  
Author(s):  
Alexis Courtais ◽  
Francois Lesage ◽  
Yannick Privat ◽  
Pascal Frey ◽  
Abderrazak M. Latifi
Keyword(s):  
Reynolds Number ◽  
Fluid Mechanics ◽  
Shape Optimization ◽  
Low Reynolds Number ◽  
Low Reynolds

Adjoint-Based Aerodynamic Shape Optimization for Low Reynolds Number Airfoils

2015 ◽  
Vol 138 (2) ◽  
Author(s):  
Juanmian Lei ◽  
Jiandong He
Keyword(s):  
Reynolds Number ◽  
Shape Optimization ◽  
Low Reynolds Number ◽  
Boundary Layer Separation ◽  
Small Scale ◽  
Test Case ◽  
Aerodynamic Shape Optimization ◽  
Aerodynamic Shape ◽  
Aerial Vehicles ◽  
Low Reynolds

In the past decades, most of the research studies on airfoil shape design and optimization were focused on high Reynolds number airfoils. However, low Reynolds number airfoils have attracted significant attention nowadays due to their vast applications, ranging from micro-aerial vehicles (MAVs) to small-scale unmanned aerial vehicles. For low Reynolds number airfoils, the unsteady effects caused by boundary layer separation cannot be neglected. In this paper, we present an aerodynamic shape optimization framework for low Reynolds number airfoil that we developed based on the unsteady laminar N–S equation and the adjoint method. Finally, using the developed framework, we performed a test case with NACA0012 airfoil as a baseline configuration and the inverse of lift to drag ratio as the cost function. The optimization was carried out at Re = 10,000 and Ma = 0.2. The results demonstrate the effectiveness of the framework.

Fluid Mechanics of Longitudinal Contractions in the Small Intestine

1979 ◽  
Vol 101 (4) ◽  
pp. 284-288 ◽  
Author(s):  
J. G. Melville ◽  
N. Denli
Keyword(s):  
Reynolds Number ◽  
Small Intestine ◽  
Motor Activity ◽  
Fluid Mechanics ◽  
Low Reynolds Number ◽  
Retrograde Flow ◽  
Particle Trajectories ◽  
Low Reynolds

Longitudinal contractions in the duodenum are shown to exit experimentally. A low Reynolds number model of flows induced by propagating longitudinal contractions is presented for circular conduits. Particle trajectories and time lines are shown to elucidate the flowfields. Longitudinal motor activity is shown to have the capability of satisfying the mixing function of the small intestine and to be a possible contributor of retrograde flow.

A Theoretical Model for the Transverse Impingement of Free Jets at Low Reynolds Numbers

1980 ◽  
Vol 102 (4) ◽  
pp. 510-518 ◽  
Author(s):  
R. Winton ◽  
H. R. Martin
Keyword(s):  
Reynolds Number ◽  
Theoretical Model ◽  
Fluid Mechanics ◽  
Low Reynolds Number ◽  
Reynolds Numbers ◽  
Exit Plane ◽  
Suction Force ◽  
Free Jets ◽  
Low Reynolds Numbers ◽  
Low Reynolds

There are many applications in industrial fluid mechanics and fluidic technology where jets of fluid interact. This paper examines the interaction of two liquid laminar free jets under low Reynolds number conditions and particularly highlights the phenomenon of the inwards deflecting jet. A potential flow solution is developed for the modelling of the control jet flow in the vicinity of the control nozzle exit plane, which demonstrates the presence of a net suction force modifying the momentum interaction of the two orthogonal jets under these low Reynolds number conditions.

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