Reynolds transport theorem
id:
reynolds-transport-theorem-250-10522412
title:
Reynolds transport theorem
text:
In differential calculus, the Reynolds transport theorem, or simply the Reynolds theorem, named after Osborne Reynolds (1842–1912), is a three-dimensional generalization of the Leibniz integral rule. It is used to recast time derivatives of integrated quantities and is useful in formulating the basic equations of continuum mechanics. Consider integrating f = f(x,t) over the time-dependent region Ω(t) that has boundary ∂Ω(t), then taking the derivative with respect to time: If we wish to move the
brand slug:
wiki
category slug:
encyclopedia
description:
3D generalization of the Leibniz integral rule
original url:
https://en.wikipedia.org/wiki/Reynolds_transport_theorem
date created:
date modified:
2024-04-22T05:37:06Z
main entity:
{"identifier":"Q953062","url":"https://www.wikidata.org/entity/Q953062"}
image:
fields total:
13
integrity:
14