This paper deals with the two-dimensional incompressible, laminar, steady-state boundary layer equations.First, we determine a family of velocity distributions outside the boundary layer such that these problems may have similarity solutions.Then, We examine in detail new exact solutions, called Pseudo-similarity, where the external velocity varies inversely-linear with the distance in the x-di...

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...

Laminar-to-turbulent transition in a swept flat-plate boundary layer is caused by the breakdown of crossflow vortex via high-frequency secondary instability and promoted wall-surface roughness freestream turbulence (FST). Although FST characterized its intensity wavelength, it not clear how wavelength affects turbulent transitions interacts with roughness-induced transition. The depends on wind...

The effects of roughness parameters, including height, diameter, and spacing the cylindrical elements, on turbulent transition are investigated in a three-dimensional boundary layer using direct numerical simulation. There two types process, classified as gradual forced. former is caused by linear development crossflow vortices their secondary instability, while latter an immediate breakdown to...