GLOSSARY

Page tree

Versions Compared

Old Version 6

changes.mady.by.user Arthur Aslanyan (Nafta College)

Saved on

compared with

New Version Current

changes.mady.by.user Arthur Aslanyan (Nafta College)

Saved on

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Given velocity vector 

LaTeX Math Inline
body{\vec {u}}=(u_x,v,wu_y,u_z)
 the streamlines are defined as  is a bunch of curves 
LaTeX Math Inline
body{\vec {r}}_s (t) = \big( \, x(_s), \, y(_s), \, z(_s ) \, \big) \in \mathbb{R}^3
, parametrized by parameter real number 
LaTeX Math Inline
bodys
, and solving the following equation:

LaTeX Math Block
alignmentleft
\frac{ d {\vec r}_s}{dt} \times {\vec r}_s(t) = 0

or equivalently

LaTeX Math Block
alignmentleft
{dx_sdx(s) \over u_x} ={dy(_s) \over vu_y}={dz(_s) \over wu_z}