UPPSALATOR
ライセンスがありません
UPPSALATOR is an electroosmotical oscilLATOR developed in UPPSALA by T. Teorell. Up to now oscillations were observed only at constant currrent. Oscillations at constant
voltage were considered earlier as impossible. This program demonstrates the UPPSALATOR at any constant voltage.
It solves nonlinear integro-differential Dirichlet problem C(T,X)=?, 0<T (time),
0<=X<=1 (1-D space).
Equation of convective diffusion for C(T,X):
pi^2*dCdT=d2CdX2-V(T)*dCdX
dCdT and dCdX are time and space derivatives of C respectively, d2CdX2 is the second spatial derivative.
C(T,0)=CLEF; 0<=CLEF<1
C(T,1)= 1;
Arbitrary initial condition, here
C(0,X)=linspace(CLEF,1,N),
N = mesh size (odd integer, def. 23)
V= -P(T) + VOLT*F(T) (V = Velocity)
VOLT > 0 = constant voltage;
P = pressure (a dynamical variable :-)
dPdT=lambda*V;
lambda > 0 empirical constant (here 0.2)
F(T) = electroosmotical factor, earlier considered as a constant.
F(T)=integral(0,1,1/C(T,X)^1.5 dX)/...
integral(0,1,1/C(T,X) dX);
引用
Vassili Pastushenko (2024). UPPSALATOR (https://www.mathworks.com/matlabcentral/fileexchange/11146-uppsalator), MATLAB Central File Exchange. 取得済み .
MATLAB リリースの互換性
プラットフォームの互換性
Windows macOS Linuxカテゴリ
- Mathematics and Optimization > Partial Differential Equation Toolbox > General PDEs > Boundary Conditions >
- Mathematics and Optimization > Partial Differential Equation Toolbox > General PDEs > PDE Solvers >
タグ
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!バージョン | 公開済み | リリース ノート | |
---|---|---|---|
1.0.0.0 |