Applications:
Applications:
where a, b, c, and f can be constants or functions of
If
b^{2} – 4 ac < 0 | Equation is Elliptic |
b^{2} – 4 ac = 0 | Equation is Parabolic |
b^{2} – 4 ac > 0 | Equation is Hyperbolic |
Example: Laplace or Poisson Equation (x, y)
Continuity Equation:
Where C is a constant
Take derivative of "x" momentum equation with
respect
to y
Take derivative of "y" momentum equation with
respect
to x
Eliminate the pressure term
Resultant expressions are:
Created by Frank Schmidt
Maintained by John
Mahaffy : jhm@psu.edu