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We propose an accurate model for the drag coefficient of arbitrary bluffbodies that is valid for high Reynolds numbers ($Re$). The model is based onthe drag coefficient model derived for the case of a sphere:, $C_D = a_1+{\frac{K a_2}{Re}} +{a_3\log(Re)+ a_4\log^2(Re) + a_5\log^4(Re)}$ (El Hasadiand Padding, Chemical Engineering Science, Vol. 265, 2023). The coefficients$a_2$, $a_3$, $a_4$, and $a_5$ do not depend on the object's shape or itsorientation with respect to the flow, and $K$ is the Stokes drag correctionfactor, which for the case of the sphere, is equal to 1.0. The shape andorientation effects are included in the value of $a_1$ for the high Reynoldsnumber flow regime. Interestingly, we found a strong correlation between thevalue of the $a_1$ coefficient and the frictional drag derived from boundarylayer theory. One of the main findings of this investigation is that the rateof change of the drag coefficient with respect to the Reynolds number in theinertial flow regime is independent of the shape of the body or itsorientation. Our model successfully predicts, with acceptable accuracy, thehistorical data of Wieselsberger (Technical Report, 1922) for the case of aninfinite cylinder. Additionally, the model predicts the drag coefficient ofother bluff body geometries such as oblate and prolate spheroids,spherocylinders, cubes, normal flat plates and irregular non-sphericalparticles.

A Generalized Model for Predicting the Drag Coefficient of Arbitrary Bluff Shaped Bodies at High Reynolds Numbers