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The aim is to develop a new analytical framework for approximating the Blasius boundary layer using a quadratic-exponential similarity closure.

May 8, 2026Open Access

A New Analytical Framework for Blasius Boundary Layer Approximation via Quadratic–Exponential Similarity Closure

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The aim is to develop a new analytical framework for approximating the Blasius boundary layer using a quadratic-exponential similarity closure.
Developed a generalized closure formulation linking quadratic algebraic structure with exponential similarity representation.
Derived a nonlinear constraint for the auxiliary function H(f) and similarity variables.
Constructed a closed-form asymptotic representation for H(f) validated numerically against classical Blasius solutions.
Achieved a root-mean-square error of 1.3 x 10^(-6) when compared with classical Blasius solution over the full domain.
Proposed formulation showcases high-accuracy in analytical approximations of boundary-layer similarity solutions.

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Randomized trial demonstrates a high-accuracy approximation of Blasius boundary layer solutions, suggesting improved analytical methods.

OMAR KARIM KAMEL MOHAMED SOLIMAN (2026) studied this question.

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