Morphing quantum mechanics and fluid dynamics

TL;DR

This paper explores the interplay between quantum mechanics and fluid dynamics by analyzing pressure-driven flows using both implicit solutions and an extra-dimensional formalism related to the Schrödinger equation.

Contribution

It introduces a novel approach combining hydrodynamics with quantum formalism through an extra-dimensional framework.

Findings

Derived implicit solutions for pressure-driven flows.

Established a connection between fluid dynamics and quantum mechanics.

Proposed a new formalism involving diffusion and Schrödinger equations.

Abstract

We investigate the effects of given pressure gradients on hydrodynamic flow equations. We obtain results in terms of implicit solutions and also in the framework of an extra-dimensional formalism involving the diffusion/Schrodinger equation.