|Table of Contents|

Foundation of Navier-Stokes Equations in Spherical Coordinates System Based on Coordinate Transformation

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2005年04期
Page:
437-440
Research Field:
Publishing date:

Info

Title:
Foundation of Navier-Stokes Equations in Spherical Coordinates System Based on Coordinate Transformation
Author(s):
ZHU Yu-chuan~1MA Da-wei~1LE Gui-gao~1XU Chang-jiang~12
1.School of Mechanical Engineering, NUST, Nanjing 210094,China;2 The Third Department,Guangzhou Naval Arms-commanding Academy,Guangzhou 510430,China)HT6SS
Keywords:
Navier-Stokes equat ions coordinate transformation Cartesian coordinates spherical coordinates
PACS:
O351.2
DOI:
-
Abstract:
Based on the mathematic expression of Navier-Stokes equations in Cartesian coordinate system, this paper presents a simple method for deriving Navier-Stokes equat ions in spherical coordinate system. Navier-Stokes equations in spherical coordinate system are derived by utilizing a new method by which the coordinate transformation and the simplificat ion of Laplaceian operator, the divergence of particles and the acceleration of particles from Cartesian coordinate system to spherical coordinate system are made. The consistence of Navier-Stokes equations both in Cartesian coordinate system and in spherical coordinate system is proved, and the references for research about the coordinate transformation of Navier-Stokes equations in other coordinate systems are provided.

References:

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Memo

Memo:
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Last Update: 2013-03-03