Asymptotic structure incorporating double and triple decks, original version

TL;DR

This paper analyzes the asymptotic structure of stagnation point flow toward a rotating disk, revealing a singular transition between double and triple deck structures requiring complex matching of flow layers.

Contribution

It demonstrates that the transition between double and triple deck flow structures is singular and involves matching two main decks, providing new insights into flow layer interactions.

Findings

Transition between flow structures is singular

Double deck is a collapsing triple deck

Matching of two main decks is required

Abstract

The stagnation point flow toward a rotating disk of finite radius is known to develop -- near the edge of the disk -- into a triple deck structure when the flow is strictly a stagnation point flow, and into a double deck structure when the flow is strictly a rotating disk flow. It is shown here that the transfer from one structure to another is singular; requiring matching of two main decks. The double deck structure is, in essence, a triple deck structure with collapsing upper deck.