“D'Alembert–Euler condition”的意思、由来-开放百科全书

词条

D'Alembert–Euler condition

释义

References

In mathematics and physics, especially the study of mechanics and fluid dynamics, the d'Alembert-Euler condition is a requirement that the streaklines of a flow are irrotational. Let x = x(X,t) be the coordinates of the point x into which X is carried at time t by a (fluid) flow. Let be the second material derivative of x. Then the d'Alembert-Euler condition is:

The d'Alembert-Euler condition is named for Jean le Rond d'Alembert and Leonhard Euler who independently first described its use in the mid-18th century. It is not to be confused with the Cauchy–Riemann conditions.

References

{{cite book |last=Truesdell |first=Clifford A. |authorlink=Clifford Truesdell |title=The Kinematics of Vorticity |year=1954 |publisher=Indiana University Press |location=Bloomington, IN}} See sections 45–48.
d'Alembert–Euler conditions on the Springer Encyclopedia of Mathematics

3 : Fluid mechanics|Mechanical engineering|Vector calculus

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