We construct a new numerical method for computing reference numerical solutions to the self{similar solution to the problem of incompressible laminar ow past a thin at plate with suction{blowing. The method generates global numerical approximations to the velocity components and their scaled derivatives for arbitrary values of the Reynolds number in the range 1; 1) on a domain including the bou...

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....

The control problem for linearized two-dimensional wall-bounded parallel shear flows is considered as a means of preventing the laminar-to-turbulent transition. The linearized Navier–Stokes equations are reduced to the Orr– Sommerfeld equation with wall-normal velocity actuation entering through the boundary conditions on the wall. An analysis of the work-energy balance is used to identify appr...

Abstract An analytical model of the Blasius flow is studied including temperature-dependent fluid properties and viscous dissipation. The friction coefficient Nusselt number at wall are calculated from resulting dimensionless velocity temperature fields. variable compared to a constant verify if under which conditions this simplification valid. Air, water oil analyzed as fluids over representat...

The objective of this study was to evaluate the hydraulic pressure gradient along lateral line microsprinklers, using Wu and Gitlin model. Mathematical simulations were developed in an electronic spreadsheet Microsoft Excel software (2016). Where adapted equation Blasius model determined, energy line, length (L), number emitters (N), adjusted (Lajst), fitted (Najst), flow velocity (m² s-1) loss...

A numerical investigation is conducted to study flow structures and interactions that are caused by a pitched synthetic jet placed in a laminar (Blasius) boundary layer with zero pressure gradient. Simulations are performed for various permutations of jet parameters including pitch angle (i.e., θ=60, 75, and 90), blowing ratio (i.e., Cb = 0.5, 1.0, 1.5, and 2.0), and non-dimensional actuation f...

The Blasius problem f ′′′ + ff ′′ = 0, f(0) = −a, f ′(0) = b, f ′(+∞) = λ is investigated, in particular in the difficult and scarcely studied case b < 0 λ. The shape and the number of solutions are determined. The method is first to reduce to the Crocco equation uu′′ + s = 0 and then to use an associated autonomous planar vector field. The most useful properties of Crocco solutions appear to b...