A generalized closure formulation for the Blasius boundary layer is developed through a consistent coupling between a quadratic algebraic structure and an exponential similarity representation of the velocity gradient. By enforcing compatibility with the classical Blasius equation, a nonlinear constraint linking the auxiliary function H (f) to the similarity variables is derived. The resulting formulation yields a logarithmic representation of the similarity integral and introduces a quadratic discriminant structure that governs the admissible behavior of the solution. A closed-form asymptotic representation for H (f) is constructed based on the underlying algebraic--exponential coupling. Numerical verification against the classical Blasius solution demonstrates excellent agreement, with a root-mean-square error of 1. 3 10^-6 across the full domain. The proposed formulation provides a high-accuracy analytical approximation perspective on boundary-layer similarity solutions and their closure structure.
OMAR KARIM KAMEL MOHAMED SOLIMAN (Wed,) studied this question.