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Equation 1

Unknown macro: {latex}

$$
\displaylines{
1 - {{NTU} \over {NTU_

Unknown macro: {max }

}} = {t \over {K + t}} \cr
{{NTU} \over {NTU_

}} = {K \over {K + t}} \cr}
$$

Equation 2

Unknown macro: {latex}

$$
v =

Unknown macro: {L over t}

$$

substitute the equation (2) in equation (1):
Equation 3

Unknown macro: {latex}

$$
\displaylines{
1 - {{NTU} \over {NTU_

Unknown macro: {max }

}} = {L \over {Kv + L}} \cr
{{NTU} \over {NTU_

}} = Kv} \over {Kv + L \cr}
$$

Double reciprocal equation
Equation 4

Unknown macro: {latex}

$$
{1 \mathord{\left/
{\vphantom {1 {\left( {1 - {{NTU} \over {NTU_

Unknown macro: {max }

}}} \right)}}} \right.
\kern-\nulldelimiterspace} {\left( {1 - {{NTU} \over {NTU_

}}} \right)}} = {{Kv} \over L} + 1
$$

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