Estudos dos efeitos da pressão em uma camada limite laminar

Abstract

ABSTRACT: This work is based on presenting a theory and, consequently, the steps taken to reach the FalknerSkan solution, being recommended a little knowledge about calculus, algebra, heat transfer, fluid mechanics, and some understanding of EDP is also desirable, so that one can have a better use and understanding of the work. The Falkner-Skan solution is a third-order limit value problem that arises due to specificities within the boundary layer. The problem of having an established gradient established in a laminar boundary layer is present in several areas in fluid dynamics where viscous flows are included by a solid boundary, especially in the aeronautical, naval and automobile industries. Starting from the Navier-Stokes equations and considering the boundary layer theory, we present a theoretical / numerical study applied primarily to a flat surface in the absence of a pressure gradient. The results are then generated when different pressure gradients (favorable and adverse) are combined. In the search for a numerical solution, a fourth-order Runge-Kutta iteration is used to integrate the equations and the secant method for establishing the kickoff programmed in FORTRAN language and validated with the specialized literature. The results affected the effects of pressure on the thickness of the boundary layer, since the presence of a favorable pressure gradient to decrease its thickness and the opposite was observed for an adverse gradient. Additionally, the behavior of the velocity profiles of the longitudinal and vertical component of the flow within the boundary layer is presented, showing the behavior of competition to growth up to a point of stagnation.