Comparisons between velocity profiles according to the modified and the Navier-Stokes equations of motion and the experimental measurements for laminar boundary layer over a flat plate (original) (raw)

The solution of the modified form of the equation of motion is compared with the classical Blasius solution, exact numerical solution of the Navier-Stokes equation, and the experimental observations of Burgers and Zijnen (1924), Hansen (1930), Nikuradse (1942), Dhawan (1953), and Büttner and Czarske (2005) for laminar boundary layer flow over a flat plate. Nearly all of the experimental data, except some of the data of Nikuradse, obtained by three different velocity measurement techniques of hot wire anemometry, Pitot tubes, and laser Doppler interferometry are in close agreement with the modified theory and show small but systematic deviation from the classical theory. Also, the predicted friction coefficient of the modified theory is found to be in closer agreement with the experimental observations of Janour (1951) as compared to that of the Navier-Stokes equation of motion.