A Rotating Reference Frame, Integral Boundary Layer Method

Abstract

Over the past three decades, Integral Boundary Layer Methods (IBL) have generated significant research interest in aerodynamics design and analysis, in particular for twodimensional airfoils. Recently Drela extended the analysis to three-dimensions in the IBL3 solver. In this paper we extend the IBL3 methodology for aerodynamics analysis of rotors including wind turbines and helicopters. We present IBL method results for rotating reference frames to illustrate the rotating boundary layer flow model. Nomenclature ρ = density τ = shear stress q = velocity η = normalized wall coordinate (0 = w, 1 = e) ( )e = edge quantity ( )i = inviscid quantity ( )w = wall quantity ( )' = planar quantity

Theory and validation of a 2D Finite-Volume integral boundary layer method intended for icing applications

“…This is the aim of the present paper to address this objective. This work is in continuity with many other studies performed during the last decades to extend the application domain of integral boundary layer models [6][7][8][9][10][11][12][13][14][15][16][17].…”

“…where a, δ, and p must be expressed as functions of the primary unknowns thanks to the set of conditions (13), (14) and (15) which is recalled below:…”

Use of a Two-Dimensional Finite Volume Integral Boundary-Layer Method for Ice-Accretion Calculations

“…More general models and numerical methods, which could be formulated both in 2D and in 3D, are necessary. This was done in a previous paper [6], a work in continuity with many other studies performed during the last decades to extend the application domain of integral boundary-layer models [7][8][9][10][11][12][13][14]. A 2D model, based on a Finite Volume resolution and easy to extend to 3D, was indeed derived in [6].…”