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Lift Coefficient (Cl)

A dimensionless quantity representing the upward force generated by a fluid flow acting on an object. Cl is dependent on angle of attack.
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The statement of the theorem

The Lift Coefficient, ClC_l, is defined as the dimensionless ratio of the total lift force, LL, generated by the fluid flow acting on a body surface SS, to the dynamic pressure of the freestream flow, 12ρV2\frac{1}{2} \rho V^2, multiplied by the reference area AA. \n\nLet ρ\rho be the fluid density, VV be the freestream velocity, and AA be the reference area. The total lift force LL is obtained by integrating the pressure and shear stresses over the surface SS: \n\nL = \frac{1}{A} \bigg\{ \text{Integral}_{S} \bigg\langle (p - p_{\infty}) \bigg\rangle \normal{n} + \tau_w \bigg\rangle dS \bigg\} \n\nWhere pp is the local static pressure, p∞p_{\infty} is the freestream static pressure, τw\tau_w is the wall shear stress, and \normal{n} is the unit vector normal to the surface SS. \n\nFormally, ClC_l is given by:\n\nC_l = \frac{L}{\frac{1}{2} \rho V^2 A} = \frac{1}{\frac{1}{2} \rho V^2 A} \cdot \text{Integral}_{S} \bigg\langle (p - p_{\infty}) \normal{n} + \tau_w \bigg\rangle dS
Source: Wikipedia