Linear and nonlinear optimal control have been investigated in transitional channel and boundary layer flows. The flow phenomena that we study are governed by the incompressible Navier–Stokes equations and the main aim with the control is to prevent transition from laminar to turbulent flows. A linear model-based feedback control approach, that minimizes an objective function which measures the...

This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained re...

The efficient heat transfer performance of hybrid nanofluid making the fluid crucial in many industrial applications like exchangers, nuclear reactors, automotive cooling systems, and most manufacturing processes. This study aims to uncover properties an unsteady Falkner-Skan flows over a nonlinear moving wedge with convective boundary condition. water-based that is considered this research com...

Abstract The present work studies the effects of physical parameter characterizing laminar flow regime, namely Strouhal number, on evolution unsteady dynamic boundary-layer developed along a wedge surface. Similarity method is used to transform momentum equation dimensionless form. Using superposition between diffusion and convective flows solutions, an ad hoc velocity profile formula proposed....

Abstract The new rational a -polynomials are used to solve the Falkner-Skan equation. These polynomials equipped with an auxiliary parameter. approximated solution equation is obtained by unknown coefficients. To find coefficients and parameter contained in polynomials, collocation method Chebyshev-Gauss points used. numerical examples show efficiency of this method.

This paper presents the Adjoint Parabolized Stability Equations (APSE) which are used to predict the receptivity of shear layers to a variety of disturbances. Results from the APSE are first carefully validated against solutions of the Adjoint Navier–Stokes (ANS) equations which demonstrates that APSE is an accurate and effecient means of predicting receptivity. Then APSE is used to document th...