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Streamwise pseudo-vortical structures and associated vorticity in the near-wall region of a wall-bounded turbulent shear flow

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Abstract

Streamwise pseudo-vortical motions near the wall in a fully-developed two-dimensional turbulent channel flow are clearly visualized in the plane perpendicular to the flow direction by a sophisticated hydrogen-bubble technique. This technique utilizes partially insulated fine wires, which generate hydrogen-bubble clusters at several distances from the wall. These flow visualizations also supply quantitative data on two instantaneous velocity components, ν and w, as well as the streamwise vorticity, ω x . The vorticity field thus obtained shows quasi-periodicity in the spanwise direction and also a double-layer structure near the wall, both of which are qualitatively in good agreement with a pseudo-vortical motion model of the viscous wall-region.

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Abbreviations

C i ,c i ,d i :

constants in Eqs. (2), (3) and (4)

H :

channel width (m)

Re H :

Reynolds number (= U c H/ν)

Re θ :

Reynolds number (= U c θ/ν)

T :

period (s)

t :

time (s)

U :

mean streamwise velocity (m/s)

U c :

center-line velocity (m/s)

u τ :

friction velocity (m/s)

u, ν, w :

velocity fluctuations (m/s)

x, y, z :

coordinates (m)

δ* :

displacement thickness (m)

θ:

momentum thickness (m)

λ:

mean low-speed streak spacing (m)

ν:

kinematic viscosity (m2/s)

φ:

phase difference

ω x :

streamwise vorticity fluctuation (1/s)

( )+ :

normalized by u τ and ν

(−):

root mean square value

(−):

statistical average

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Tokyo, 113, Bunkyo-ku, Tokyo, Japan

    N. Kasagi, M. Hirata & K. Nishino

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  1. N. Kasagi
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  2. M. Hirata
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  3. K. Nishino
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Kasagi, N., Hirata, M. & Nishino, K. Streamwise pseudo-vortical structures and associated vorticity in the near-wall region of a wall-bounded turbulent shear flow. Experiments in Fluids 4, 309–318 (1986). https://doi.org/10.1007/BF00266296

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