Calculate the pressure coefficient at a point on the airfoil.

Calculate the pressure coefficient at a point on the airfoil where the pressure is \( 8.9 \times   10^4\,N/m^2\). Airfoil is in freestream velocity of \(40\,m/s \) and is at standard sea – level conditions.

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    Pressure coefficient is given as

    \[{C_p} = \frac{{p\, – \,{p_\infty }}}{{{q_\infty }}}\]

    Dynamic pressure,

    \[{q_\infty } = \frac{1}{2}{\rho _\infty }V_\infty ^2 = \frac{1}{2} \times 1.225 \times {\left( {40} \right)^2} = 980\]

    Therefore, \(C_p\) is

    \[{C_p} = \frac{{0.89 \times {{10}^5} \,-\, 1.01 \times {{10}^5}}}{{980}} =\, – 12.24\]

    Answered on 14th January 2021.
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