A note on the Moody diagram

TL;DR

This paper introduces an alternative scaling for head loss in steady Newtonian fluid flow through tubes, clarifying inertia's role and preserving observed trends in dimensionless relationships.

Contribution

It proposes a new scaling method for head loss that better highlights inertia effects and maintains consistency with traditional dimensional trends.

Findings

New scaling clarifies inertia's influence on head loss.

Trends in dimensionless quantities are consistent with traditional observations.

Enhances understanding of flow characteristics in tube flow.

Abstract

In this work we propose an alternate scaling for the head loss in the steady flow of Newtonian fluids through tubes. The characteristics of the proposed scaling render more clear the role of inertia in this flow and ensure that the trends of the relationship between dimensionless quantities are the same ones observed in the dimensional problem.