A variant of the local correlation-based transition model (LCTM) ? is presented to account for prediction due stationary crossflow instabilities. The Tc1 criterion a approximation well-known C1 by Arnal (1984), evaluated locally through auxiliary functions expressed solution Falkner–Skan–Cooke (FSC) equations. criterion, originally proposed Menter and Smirnov (2014), uses wall-normal directiona...

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...

In this paper we are concerned with the solutions of the differential equation f ′′′+ ff ′′+g(f ′) = 0 on [0,∞), satisfying the boundary conditions f(0) = α, f ′(0) = β ≥ 0, f ′(∞) = λ, and where g is some given continuous function. This general boundary value problem includes the Falkner-Skan case, and can be applied, for example, to free or mixed convection in porous medium, or flow adjacent ...

This paper explores the use of nonparallel adjoint methods to predict the receptivity of two and three-dimensional boundary layers. Solutions obtained from both adjoint Navier–Stokes (ANS) and adjoint parabolized stability equations (APSE) have been validated against linearized Navier–Stokes (LNS) solutions that provide a full description of the linear receptivity process. The adjoint methods a...

We propose a sequence of highly accurate higher order convergent iterative schemes by embedding the quasilinearization algorithm within a spectral collocation method. The iterative schemes are simple to use and significantly reduce the time and number of iterations required to find solutions of highly nonlinear boundary value problems to any arbitrary level of accuracy. The accuracy and converg...