I have a question but it's not so much a specific HW problem as it is with trying to conceptualize the physics behind it. So when dealing with aerodynamics, lets take for example a wing / airfoil. I understand due to a difference in pressure lift is generated. Higher pressure wants to naturally go to lower pressure thus creating a net force of an upwards (lifting) motion. I also know that the higher pressure is on the underside of the wing because of lower local velocity the air travels as oppose to the higher velocity of air on the top side of the wing. Which follows Bernoulli's principle. However, here is where I start to get confused. From my understanding Bernoulli's equation is only applicable in laminar flows where you don't have significant shear losses caused by turbulent flow. If that is the case, airplanes typically fly at high speeds which can safely be assumed to be flying in turbulent conditions (Reynold's number proportional to speed thus with high velocity high Reynold's number which would mean turbulent conditions). IF that is the case, how is Bernoulli still applicable when analyzing airfoils/wings? Even in a car, you already have turbulent flow and the streamline is no longer constant/smooth. You have wakes and circulation. Can we safe to say that Bernoulli is no longer valid in these situations?