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June 7, 2026Transport Phenomena

Excellent closed-form approximate solutions for laminar stagnation flows

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The goal is to develop explicit approximate analytical solutions for laminar stagnation flows based on nonlinear boundary-layer equations.
Extended cubic velocity formulation to derive closed-form solutions for Hiemenz and Homann equations
Utilization of the von Kármán momentum integral equation and boundary conditions
Validation of solutions against established numerical results to ensure accuracy
Achieved maximum residuals of 10^-3 for Hiemenz flow and 10^-2 for Homann flow, demonstrating good accuracy.
Proposed method offers substantial advantages in compactness and computational efficiency over numerical approaches.
Closed-form expressions for dimensionless stream function, velocity, and shear stress were successfully derived.

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Presents analytical solutions for laminar stagnation flows, indicating practical modeling advancements.

Ekachai Juntasaro (2026) studied this question.

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