This study presents numerical work to investigate the Falkner–Skan flow of a bio-convective Casson fluid over wedge using an Evolutionary Padé Approximation (EPA) scheme. The governing partial differential equations and boundary conditions model are transformed system ordinary involving ten dimensionless parameters by similarity transformations. In proposed EPA framework, equivalent constrained...

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...

In this paper, the computational method (CM) based on standard polynomials has been implemented to solve some nonlinear differential equations arising in engineering and applied sciences. Moreover, novel methods have developed study by orthogonal base functions, namely Hermite, Legendre, Bernstein polynomials. The problem is successfully converted into a algebraic system of equations, which are...

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...

In the age of technology, it is vital to cool down different parts of a device to use it more beneficially. Using nanofluids is one of the most common methods which has shown very effective results. In this paper, we have rephrased a classic equation in fluid mechanics, i.e. the Falkner-Skan boundary layer equation, in order to be used for nanofluid. This nonlinear equation, which was presented...