The Flat Plate Boundary Layer Equation under Blasius Restrictions with a Unique Solution

Abstract

Even though Blasius’s flat plate boundary layer equation is considered an outstanding application of the boundary layer theory, it presents a series of inconsistencies both in its deduction and solution. This work reexamines, in detail, the fundamentals of the classical equation and the method to solve it to build correlations associated with the proposed new flat plate boundary equation and its solution. It deals with being well aware of avoiding or excluding the existing mathematical and erroneous physical considerations involved to improve the design, analysis, and solution of many practical problems in the fields of Fluid Mechanics and other scientific and technical areas. The new proposed flat plate boundary layer equation has a unique solution and satisfies Prandtl’s boundary layer concept; its inherent flow is sensitive to the transition phenomenon. In this sense, depending on the Reynolds number, it can generate perturbations that will justify the origin of the Tollmien–Schlitching waves.