WorkshopNewSlide

Asymptotic behavior of Reynolds normal stresses in wall flows: part II. Further considerations

 

In the previous abstract, part I, by Chen & Sreenivasan, we reviewed the universality in the ratios of maximum production, diffusion, and fluctuating as well as mean and total dissipation rates,  to the maximum Reynolds shear stress. A basis for these considerations is the law of bounded growth proposed by us (J. Fluid Mech. 908, R3, 2021 and 933, A20, 2022): that the wall-normalized normal stresses initially grow with Reynolds numbers but eventually saturate, thus ensuring the validity of the law of the wall. In this abstract, we take a step back and consider questions such as:

(a)    What is our confidence level in the saturation law?

(b)    An elaboration of new considerations in the matching techniques introduced in J. Fluid Mech. 976, A21, 2023.

(c)    Consequences of similar considerations for the scaling of other quantities such as pressure fluctuations.

(d)    A brief consideration of high-order moments of the peak stress, as a possible means of establishing the saturation law.

(e)   The overall implications for energy transport between inner and outer layers, and the role of intermittency.

Our goal is to discuss these questions as part of the big picture that consists of the work of others at the meeting and outside it.

Speakers

K.R. Sreenivasan

Prof. of Physics, Mathematical Sciences and Engineering, New York University