A resolution of the transition to turbulence paradox

TL;DR

This paper addresses the longstanding paradox in understanding how laminar flows transition to turbulence, highlighting a critical modeling oversight that has hindered progress in the field.

Contribution

It identifies and resolves a key modeling oversight that has impeded understanding of the transition to turbulence.

Findings

Clarifies the role of initial conditions in transition

Proposes a revised model that accurately predicts transition onset

Bridges the gap between theoretical predictions and experimental observations

Abstract

Understanding the transition to turbulence has been impeded by a modeling oversight