The normal-mode analysis of the Reynolds-Orr energy equation governing the stability of viscous motion for general three-dimensional disturbances has been revisited. The energy equation has been solved as an unconstrained minimization problem for the Couette-Poiseuille flow. The minimum Reynolds number ...
The auxiliary potential ϕi is the solution to Laplace’s equation ∇2ϕi=0, with boundary conditions nˆ⋅∇ϕi=ni on the airfoil and nˆ⋅∇ϕi=0 at the farfield (nˆ is the unit normal to the surface). In this work, we focus on the time-averaged lift ...
The boundary-layer velocity profiles that were calculated with COCO are used to conduct a local linear stability analysis by solving the Orr–Sommerfeld equation, which is a fourth-order differential equation, used to calculate amplification rates of T–S waves (Orr 1907; Sommerfeld 1908). It has...
Transition from laminar flow to turbulent flow (Orr-Sommerfeld equation) It is well known that the flow is stable, that is, laminar, under relatively low Reynolds number conditions because the viscous force, which stabilized the flow, is dominant. With the increase in Reynolds number, the inerti...
Critical Reynolds number of the Orr-Sommerfeld equation Using the straightforward Runge-Kutta procedure, the critical Reynolds number for the Orr-Sommerfeld equation has been obtained. The number is 2772.225. The corresponding wavenumber is 1.0205. These values also substantiate the accuracy ......
The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found...
Hence, from the numerical point of view a small number of HMs can already attain high accuracy in the evaluation of the critical Reynolds number, without invoking the Orr- Sommerfeld (OR) equation [4, 8]. This point is shown below. In the system of coupled ODEs, the nonlinear term,(u ...
A study of the stability of plane Poiseuille flow at higher Reynolds number is made. Within a “triple-deck” structural framework,the qualitative behavior of the eingenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunctionis formulated approximately.关键词...
Three-dimensional tomographic time dependent PIV measurements of high Reynolds number (Re) laboratory turbulence are presented which show the existence of long-lived, highly sheared thin layer eddy structures with thickness of the order of the Taylor microscale and internal fluctuations. Highly sheared ...
需要金币:*** 金币(10金币=人民币1元) Turbulence statistics in fully developed channel flow at low Reynolds number:(在充分发展湍流统计通道在低雷诺数流动).pdf 关闭预览 想预览更多内容,点击免费在线预览全文 免费在线预览全文 Turbulence statistics in fully developed channel flow at low Reynolds number:...