- #1
alokgautam
- 8
- 0
Hello friends please attached file to see my problem
Last edited:
gato_ said:First term is actually the expression for mean curvature (H(z(x,y))) for a local patch. your equation reads:
[tex]H-z/c=0[/tex]
(is that a bubble subject to gravity?) that said, I think you might better try an axysimmetric solution first, z(r), as your forcing (z/c) does not depend on x or y.
[tex]\frac{z_{,rr}}{(1+z_{r}^{2})^{3/2}}+\frac{z_{,r}}{r(1+z_{,r}^{2})^{1/2}}-z/c=0[/tex]
this is an ODE (a though one). You should add your conditions, depending on wether the surface is closed (periodicity) or open (contact angle somewhere). Finding equilibrium configurations of free surfaces is not easy!
gato_ said:Except for a few particular cases, this is a difficult kind of problem to solve. Try here, for a software specifically designed for it
http://www.susqu.edu/facstaff/b/brakke/evolver/evolver.html
PDE stands for Partial Differential Equation. It is a mathematical equation that involves multiple variables and their partial derivatives. It is commonly used to model physical phenomena in fields such as physics, engineering, and finance.
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