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The strato-rotational instability of channel flows

Research Project

Project/Area Number 21K03878
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 19010:Fluid engineering-related
Research InstitutionKyushu University

Principal Investigator

WALL Darren  九州大学, 工学研究院, 准教授 (30534309)

Project Period (FY) 2021-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2024)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2023: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2022: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2021: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
KeywordsTaylor-Dean Flow / Rayleigh criterion / rotating channel flow / Coriolis force / Taylor-Dean flow / stratorotational / stratified flow / rotation / channel flow
Outline of Research at the Start

This research investigates the fundamental mechanisms that govern flows that feature shear, density stratification and are subject to a system rotation. We seek to thereby deepen understanding of such flows, which are ubiquitous in nature, and include accretion disks and atmospheric mesocyclones.

Outline of Final Research Achievements

This study establishes that a mathematical equivalence exists between rotating curved channel flow (RCCF) and Taylor-Dean (TD) flow. This equivalence relation explains the similarity of results for these two flow configurations that has been frequently remarked upon but not explained. In particular, it is shown that every RCCF flow corresponds to a TD flow. The equivalence is demonstrated by using TD flow to perform a calculation of the stability of RCCF. The identification of this equivalence relation allows for fresh perspectives and insights on flow phenomena and mechanisms, and the formation of the stability peak that has been observed in RCCF is discussed in relation to the narrowing and subsequent bifurcation of the TD neutral stability surface that occurs as the Poiseuille flow component is increased.

Academic Significance and Societal Importance of the Research Achievements

This research identifies an equivalence between two flow systems, Taylor-Dean (TD) flow and rotating curved channel flow (RCCF), whose investigation had hitherto proceeded independently. Industrial applications include electrogalvanizing lines in steel making, or paper making using a rotating drum.

Report

(2 results)
  • 2024 Final Research Report ( PDF )
  • 2021 Research-status Report

URL: 

Published: 2021-04-28   Modified: 2026-01-16  

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