Velocity, temperature, and Reynolds-stress scaling in the wall region of turbulent boundary layer on a permeable surface

Vigdorovich, I. I.

doi:10.1134/1.1842884

Cited by 12 publications

(6 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the turbulent layer, instead, two different scalings have been proposed. A bilogarithmic law, where the streamwise velocity is described by a series of logarithmic functions , has been derived from Prandtl's momentum-transfer theory by a number of authors (Rubesin 1954; Clarke, Menkes & Libby 1955; Mickley & Davis 1957; Black & Sarnecki 1958; Stevenson 1963; Rotta 1970; Simpson 1970) and more recently via analytical methods based on matched asymptotic expansions (Vigdorovich 2004; Vigdorovich & Oberlack 2008; Vigdorovich 2016). The bilogarithmic law can be expressed in the form (Stevenson 1963) where the left-hand side is sometimes referred to as pseudo-velocity.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on turbulent asymptotic suction boundary layers

2021

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Experimental study on turbulent asymptotic suction boundary layers

2021

View full text Add to dashboard Cite

show abstract

“…This historical approach for the scaling law of turbulent transpired boundary layers was reconsidered by Vigdorovich [14] who obtained the same expression (6) using a dimensionnal analysis but without invoking any turbulent mechanisms such as the linearity of the mixing length. Moreover, C was found to be depending on v + w and the asymptotic behaviors of C were determined [14]. Later on, Vigdorovich [18] provided a second order development for C with respect to v + w for turbulent boundary layers with suction.…”

Section: Stevenson's Law Of the Wallmentioning

confidence: 99%

“…For bidimensionnal incompressible turbulent boundary layer developing on a flat plate with or without pressure gradients, velocity profiles behave in an opposite manner between suction and blowing cases, with respect to the sign of the wall-normal velocity. However a common formalism relying on the Prandtl mixing length hypothesis, but that can be directly deduced from a dimensionnal analysis [14], is usually employed to describe both cases. It results in a specific law of the wall, with a so-called bilogarithmic region, for these boundary layer flows which can take several forms [1,2,[15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Transpired turbulent boundary layers: a general strategy for RANS turbulence models

Chedevergne¹,

Marchenay²

2019

Journal of Turbulence

View full text Add to dashboard Cite

Transpired boundary layers are of major interest for many industrial applications. Although well described, there is no turbulence model specifically dedicated to the prediction of boundary layers for both blowing and suction configurations. Revisiting closure relations of turbulence models, a general strategy was established to recover Stevenson's law of the wall that described the behavior of transpired boundary layers in the wall region. The methodology is applied to the k − ω SST turbulence model and compared to Wilcox's correction, only applicable to blowing cases. A version of the proposed correction, more suited to RANS solvers, was also derived. Several experimental boundary layer configurations with blowing or suction were computed using both versions of the correction. The good agreements observed on all cases prove the relevance and the efficiency of the present strategy. w subscript for quantities at the wall Reynolds average

show abstract

“…Experimentally, it was studied by Zhapbasbayev and Isakhanova 4 and Zhapbasbayev and Yershin. 5 Vigdorovich [6][7][8][9] developed an approach to analytically study turbulent boundary layer flows with blowing and suction. The approach embodies formulating a closure condition, which relates the turbulent shear stress to the mean velocity gradient, and applying the method of matched asymptotic expansions to the boundary layer equations at high values of the logarithm of the Reynolds number based on the boundary layer thickness.…”

Section: Introductionmentioning

confidence: 99%

Analytical study of turbulent Poiseuille flow with wall transpiration

Vigdorovich

Oberlack

2008

Physics of Fluids

View full text Add to dashboard Cite

An incompressible, pressure-driven, fully developed turbulent flow between two parallel walls, with an extra constant transverse velocity component, is considered. A closure condition is formulated, which relates the shear stress to the first and the second derivatives of the longitudinal mean velocity. The closure condition is derived without invoking any special hypotheses on the nature of turbulent motion, only taking advantage of the fact that the flow depends on a finite number of governing parameters. By virtue of the closure condition, the momentum equation is reduced to the boundary-value problem for a second-order differential equation, which is solved by the method of matched asymptotic expansions at high values of the logarithm of the Reynolds number based on the friction velocity. There are three characteristic flow regions in the channel: the core region and two wall regions near injection and suction walls. For each region, the solution is constructed. The asymptotic matching gives formulas for the wall shear stress and the maximum mean velocity. A limit transpiration velocity is obtained, such that the shear stress at the injection wall vanishes, while the maximum point on the velocity profile approaches the suction wall. In this case, a sublayer near the suction wall appears where the mean velocity is proportional to the square root of the distance from the wall. A friction law for Poiseuille flow with transpiration is found, which makes it possible to describe the relation between the wall shear stress, the Reynolds number, and the transpiration velocity by a function of one variable. A velocity defect law, which generalizes the classical law for the core region in a channel with impermeable walls to the case of transpiration, is also established. In similarity variables, the mean velocity profiles across the whole channel width outside viscous sublayers can be described by a one-parameter family of curves. The theoretical results obtained are in good agreement with available direct numerical simulation data.

show abstract

Velocity, temperature, and Reynolds-stress scaling in the wall region of turbulent boundary layer on a permeable surface

Cited by 12 publications

References 8 publications

Experimental study on turbulent asymptotic suction boundary layers

Experimental study on turbulent asymptotic suction boundary layers

Transpired turbulent boundary layers: a general strategy for RANS turbulence models

Analytical study of turbulent Poiseuille flow with wall transpiration

Contact Info

Product

Resources

About