Laminar Flow Between Two Parallel Porous Walls With Variable Permeability and Wall Slip

2002 ◽  
Author(s):  
S. Krishnambal
Keyword(s):  
Exact Solutions ◽  
Stokes Equations ◽  
Flow Characteristics ◽  
Wall Slip ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Variable Permeability ◽  
Stream Lines ◽  
Variable Suction

A class of exact solutions of two dimensional Navier-Stokes equations representing the flow between two porous parallel walls, when there exist variable suction and injection at the boundaries (with or with out slip) under the prescribed entry and outlet conditions at the ends of the channel of given length is obtained. These are exact solutions of the two dimensional Navier-Stokes equations for a suitable class of variable suction and injection prescribed at the walls. Certain interesting flow characteristics are observed, when analysed through the graphs of velocity profiles and stream lines. The change in the pattern of the stream lines corresponding to the various prescribed suction/injection velocities are observed. The convergence analysis (with slip) of the series solution is discussed with a suitable numerical example.

Research of Measurement Method of Two Dimensional Configuration Drag Test in Wind Tunnel in Case of High Lift

2011 ◽  
Vol 301-303 ◽  
pp. 671-676
Author(s):  
Yu Qin Jiao ◽  
Xi Ping Chen ◽  
Zhen Li Zhi
Keyword(s):  
Wind Tunnel ◽  
Stokes Equations ◽  
Wind Tunnel Test ◽  
Flow Characteristics ◽  
Aerodynamic Performance ◽  
Wake Flow ◽  
Navier Stokes ◽  
Two Dimensional ◽  
High Lift ◽  
Navier Stokes Equations

Computational fluid dynamics and wind tunnel test are two main technical means to examine the aerodynamic performance of airfoil and two-dimensional(2-D) configuration. Two dimensional wind tunnel tests use commonly wake flow field measurement to integrate for drag of airfoil or two-dimensional configuration, but the integral formulas are based on certain assumptions and of certain bounds of application. In this paper, based on Navier-Stokes equations numerical simulation and two dimensional wind tunnel testing, the drag measuring technique for high lift configuration in low speed wind tunnel is researched. Navier-Stokes equations is solved for the flow around a multi-element airfoil, the wake flow characteristics behind the multi-element airfoil and the assumptions for conventional drag measuring method are analyzed, then a new more precise drag formula for two dimensional wind tunnel test is put forward; Based on the simulation results of multi-element airfoil flow, it’s aerodynamic performance is obtained respectively by integrating the surface pressure and friction drag, and computing with the information of wake flow according to conventional and newly proposed drag calculation formulas, and the three results are compared to verify the accuracy of the new drag formula; The wind tunnel test is carried out to ascertain the accuracy of the new drag formula. It is shown from the results that in the high-lift case the conventional drag formula with the wake information is of many limitations and must be improved, and the new drag formula presented in this paper is more accurate because of consideration of the wake flow characteristics of airfoil or two-dimensional configuration.

Some new exact solutions for the two-dimensional Navier–Stokes equations

2007 ◽  
Vol 371 (5-6) ◽  
pp. 438-452 ◽  
Author(s):  
Chiping Wu ◽  
Zhongzhen Ji ◽  
Yongxing Zhang ◽  
Jianzhong Hao ◽  
Xuan Jin
Keyword(s):  
Exact Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
New Exact Solutions
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