, total pressure, total enthalpy,
    and fuel to air ratio of each flow are unchanged. The only parameter that
    changes as a result of the valve is the gas path flow (<i>W</i>). To
    compute this change, the following equations are used:

    $$Wby_{Out} = Wby_{In} + Wth$$

    $$Wmfp_{Out} = Wmfp_{In} - Wth$$

    In the above equations, <i>Wby</i> refers to the bypass flow, <i>Wmfp</i>
    refers to the main path flow, and <i>Wth</i> refers to the valve throat
    flow. The valve throat flow is solv