changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Apr 19, 2020
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p_{wf, 1} = p_{wf} = \Delta p_f + p_1 + q_1/J_1
p_{wf,2} = p_{wf} + \delta p_2 = \Delta p_f + p_2 + q_2/J_2
This leads to
q_1 = J_1 \cdot (p_{wf} - p1p_1 - \Delta p_f)
q_2 = J_2 \cdot (p_{wf,2} - p_2 - \Delta p_f) = J_2 \cdot (p_{wf} - (p_2 + \Delta p_f-\delta p_2) )
and
q = q_1 + q_2 = q_1 = J_1 \cdot (p_{wf} - (p_1 + \Delta p_f))+ J_2 \cdot (p_{wf} - (p_2-\delta p_2 + \Delta p_f) )
q = (J_1+J_2)\cdot p_{wf} - J_1 \cdot (p_1 + \Delta p_f) + J_2 \cdot ((p_2-\delta p_2 + \Delta p_f) )
or
q = J \cdot (p_{wf}-p_e), \ {\rm where} \ J = J_1 + J_2 \ {\rm and} \ p_e = J^{-1} \cdot (J_1 \cdot (p_1 + \Delta p_f) + J_2 \cdot (p_2-\delta p_2 + \Delta p_f))
p_e = \Delta p_f + J^{-1} \cdot (J_1 \cdot p_1 + J_2 \cdot (p_2-\delta p_2))
