User:SlashZero~enwiki

Assorted nonsense. Help:Displaying_a_formula

${\mbox{BHN}}={\frac {2P}{D\pi ({D-{\sqrt {(D^{2}-d^{2})}})}}}$

${\operatorname {d} C_{A} \over \operatorname {d} t}={\frac {(C_{Ain}-C_{A})q-k_{1}{C_{A}}{C_{B}}^{2}{V}}{V}}$

${\operatorname {d} C_{B} \over \operatorname {d} t}={\frac {(C_{Bin}-C_{B})q+(k_{1}{C_{A}}{C_{B}}^{2}-k_{2}{C_{B}}){V}}{V}}$

${\operatorname {d} C_{C} \over \operatorname {d} t}={\frac {-{C_{C}}q+(k_{2}{C_{B}}-2{k_{3}}{C_{C}}^{2}){V}}{V}}$

${\operatorname {d} C_{D} \over \operatorname {d} t}={\frac {-C_{D}q+({k_{3}}{C_{C}}^{2}-k_{4}{C_{D}}{C_{E}}){V}}{V}}$

${\operatorname {d} C_{E} \over \operatorname {d} t}={\frac {-C_{E}q+({k_{3}}{C_{C}}^{2}-k_{4}{C_{D}}{C_{E}}){V}}{V}}={\operatorname {d} C_{D} \over \operatorname {d} t}$

${\alpha }={\frac {C_{A}}{C_{Ain}}}$

${\beta }={\frac {C_{B}}{C_{Ain}}}$

${\gamma }={\frac {C_{C}}{C_{Ain}}}$

${\delta }={\frac {C_{D}}{C_{Ain}}}$

${\epsilon }={\frac {C_{E}}{C_{Ain}}}$

${\beta }_{in}={\frac {C_{Bin}}{C_{Ain}}}$

${t}_{res}={\frac {V}{q}}$

${t}_{1}={\frac {1}{k_{1}C_{Ain}^{2}}}$

${t}_{2}={\frac {1}{k_{2}}}$

${t}_{3}={\frac {1}{k_{3}C_{Ain}}}$

${t}_{4}={\frac {1}{k_{4}C_{Ain}}}$

${\tau }_{res}={\frac {t_{res}}{t_{1}}}$

${\tau }_{2}={\frac {t_{2}}{t_{1}}}$

${\tau }_{3}={\frac {t_{3}}{t_{1}}}$

${\tau }_{4}={\frac {t_{4}}{t_{1}}}$

${\tau }={\frac {t}{t_{1}}}$

${\operatorname {d} \alpha \over \operatorname {d} t}={\frac {(1-\alpha )}{\tau _{res}}}-\alpha \beta ^{2}$

${\operatorname {d} \beta \over \operatorname {d} t}={\frac {(\beta _{in}-\beta )}{\tau _{res}}}+\alpha \beta ^{2}-{\frac {\beta }{\tau _{2}}}$

${\operatorname {d} \gamma \over \operatorname {d} t}=-{\frac {\gamma }{\tau _{res}}}+{\frac {\beta }{\tau _{2}}}-{\frac {2\gamma ^{2}}{\tau _{3}}}+{\frac {2\delta \epsilon }{\tau _{4}}}$

${\operatorname {d} \delta \over \operatorname {d} t}=-{\frac {\delta }{\tau _{res}}}+{\frac {\gamma ^{2}}{\tau _{3}}}-{\frac {\delta \epsilon }{\tau _{4}}}$

${\operatorname {d} \epsilon \over \operatorname {d} t}={\operatorname {d} \delta \over \operatorname {d} t}$

${\operatorname {d} C_{i} \over \operatorname {d} t}={\frac {\mbox{rate in of i - rate out of i + rate of i generated}}{\mbox{volume}}}$