Prolden

One dimensional solute concentration in a strean is required to be detemine using finite dament method. Use one dinensianal ele The doroun is fre $x=0$ to $x=100m$

$**P\mathrm{.}0.E$

$D_e\frac{de{l}^{2}C}{del{x}^2}\frac{-}{b}ar(v{)}_x\frac{\text{d}\text{e}\text{l}\text{C}}{\text{d}\text{e}\text{l}\text{x}}=\frac{\text{d}\text{e}\text{l}\text{C}}{\text{d}\text{e}\text{l}\text{t}}$

B$.$C for $t>0,C(0,t)=C_0=10$ and $C(100,t)=0.$

I. $C$ is $C(x,0)=0$ for all $x.$

The flow velacity $\frac{?}{\text{b}\text{a}\text{r}}(v{)}_x=0\mathrm{.}1\frac{m}{d}an$

$D_l=1\frac{m^2}{d}$org

Note we can use liveap tribungulop elements for stream of constant depth & carstant depet of water.$$