• Invited

Spectra of supersaturation and liquid water content in cloud turbulence

Toshiyuki Gotoh, Izumi Saito, and Takeshi Watanabe
Phys. Rev. Fluids 6, 110512 – Published 30 November 2021
An article within the collection: Cloud Physics Invited Papers

Abstract

Spectra of supersaturation and liquid water content (LWC) fluctuations in cloud turbulence are theoretically studied. Equations for the variance spectra are derived using the Lagrangian renormalized approximation and examined through asymptotic analysis. Our results show that the wave-number-dependent Damköhler number, defined as the ratio of the turbulent eddy turnover time to the phase relaxation time of the supersaturation, controls the scalar transfer functions and the supersaturation excitation by turbulence. Additionally, the supersaturation spectrum Es(k) has three power-law ranges. Here two ranges follow k5/3; however, their amplitudes differ depending on the large-scale Damköhler number and the input ratio of the supersaturation excitations in the associated range. The third range of Es(k)k12CBDK includes CB and DK representing the Bachelor constant and Damköhler number corresponding to the Kolmogorov time, respectively. The LWC spectrum Eϕ(k) reveals two power-law ranges: k5/3 for k<kϕ* and k1 for kϕ*<k, in which the transition wave number kϕ*η¯ is given by the input ratio of the supersaturation excitations in the two k5/3 ranges by the turbulence and is consistent with field measurement results.

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  • Received 4 July 2021
  • Accepted 2 November 2021

DOI:https://doi.org/10.1103/PhysRevFluids.6.110512

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Collections

This article appears in the following collection:

Cloud Physics Invited Papers

Physical Review Fluids publishes a collection of papers associated with invited talks presented at the mini-symposium on the Cloud Physics at the 73rd Annual Meeting of the APS Division of Fluid Dynamics.

Authors & Affiliations

Toshiyuki Gotoh1,2,*, Izumi Saito1, and Takeshi Watanabe1

  • 1Department of Physical Science and Engineering, Nagoya Institute of Technology, Gokiso, Nagoya, 466-8555, Japan
  • 2Research and Education Center for Natural Sciences, Keio University, Hiyoshi, Yokohama, 223-8521, Japan

  • *gotoh.toshiyuki@nitech.ac.jp

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Issue

Vol. 6, Iss. 11 — November 2021

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