The Fourth Partial Derivative In Transport Dynamics
Trinh Khanh Tuoc
TL;DR
This paper introduces a novel fourth partial derivative in transport dynamics that follows diffusion paths, enabling clearer analysis by decoupling diffusion and convection effects.
Contribution
It presents a new fourth partial derivative that follows diffusion paths, simplifying the analysis of transport processes by decoupling diffusion and convection effects.
Findings
Decouples diffusion and convection effects in transport analysis
Simplifies the mathematical treatment of transport processes
Introduces a Lagrangian derivative following diffusion paths
Abstract
A new fourth partial derivative is introduced for the study of transport dynamics. It is a Lagrangian partial derivative following the path of diffusion, not the path of convection. Use of this derivative decouples the effect of diffusion and convection and simplifies the analysis of transport processes.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Spectroscopy and Quantum Chemical Studies · Advanced Thermodynamics and Statistical Mechanics