Generalized Galilean transformations of tensors and cotensors with application to general fluid motion

TL;DR

This paper explores how tensors and cotensors transform under Galilean relativity in four-dimensional space-time, ensuring the objectivity of balance equations in heat-conducting fluids, with applications to fluid motion.

Contribution

It extends the understanding of Galilean transformations to tensors and cotensors in a four-dimensional framework, applying this to fluid dynamics.

Findings

Galilean transformation properties of tensors and cotensors are characterized.

Objectivity of heat conduction balance equations is maintained under these transformations.

Framework aids in analyzing general fluid motion in non-relativistic physics.

Abstract

Galilean transformation properties of different physical quantities are investigated from the point of view of four dimensional Galilean relativistic (non-relativistic) space-time. The objectivity of balance equations of general heat conducting fluids and of the related physical quantities is treated as an application.