Experimental Investigation of the Flow Around Lifting Symmetrical Double-wedge Airfoils at Mach Numbers of 1.30 and 1.41

Experimental Investigation of the Flow Around Lifting Symmetrical Double-wedge Airfoils at Mach Numbers of 1.30 and 1.41
Author: Paul B. Gooderum
Publisher:
Total Pages: 86
Release: 1956
Genre: Aerofoils
ISBN:

Measurements were made of the flow around a 10-percent-thick, double symmetrical, two-dimensional wedge at a Mach number of 1.30 and of a 14.2-percent-thick wedge at Mach numbers of 1.30 and 1.41 for various angles of attack up to 5 degrees. Results were thus obtained in the vicinity of the theoretically interesting region between shock attachment and the lower limit for completely supersonic flow over the surface of the airfoil. Pressure and Mach number distributions, lift and drag coefficients, center of lift, and pitching moment are presented for the angles of attack used. By means of the transonic similarity laws, the results are compared with each other, with small-disturbance theory, and with shock-expansion theory wherever possible. The data show that pressure distributions on wedges of different thickness and Mach number are similar at the same values of transonic similarity parameter and reduced angle of attack for angles of attack as large as the thickness ratio; that the lift-curve slope is approximately independent of the angle of attack for an angle-of-attack range from -2 degrees to 2 degrees; and that, for the airfoils tested at Mach numbers greater than the attachment value, the center-of-pressure location is nearly independent of the angle of attack, the variation being to plus or minus 3 percent chord for the angles of attack used in this investigation. For the airfoil tested at a Mach number slightly less than the shock-attachment value, the center-of-pressure location was only roughly independent of the angle of attack, the variation of this location being to plus or minus 6 percent chord.

An Investigation of a Lifting 10-Percent-Thick Symmetrical Double-Wedge Airfoil at Mach Numbers Up to 1

An Investigation of a Lifting 10-Percent-Thick Symmetrical Double-Wedge Airfoil at Mach Numbers Up to 1
Author:
Publisher:
Total Pages: 0
Release: 1954
Genre:
ISBN:

Pressure measurements on the surface of a two-dimensional symmetrical double-wedge airfoil have been obtained from tests in the Langley 4- by 19-inch semiopen tunnel at lifting conditions and at Mach numbers up to 1. The object of this investigation was to obtain normal-force, pressure-drag, and pitching-moment data and to compare them with available experimental and theoretical results. The nonlifting results are in good agreement with potential-flow theory at a Mach number of about 0.5 and in fair agreement with the theoretical results of Guderley and Yoshihara at a Mach number of 1 and with the transonic small-disturbance theories of other investigators for Mach numbers from 0.85 to 1.0. Below a reduced Mach number Xio of approximately -1.0, the pressure-drag coefficient computed on the basis of the transonic theories and the drag coefficient measured in the present investigation are of opposite sign. The present experimental data and the theoretical incompressible results extended to high-subsonic speeds both indicate a thrust for the forebody. The application of transonic approximations, therefore, appears unjustified for similarity parameters less than approximately -1.0 in the subsonic portion of the transonic range. At lifting conditions, for Mach numbers up to about 0.6, the present results are in good agreement with the closed-tunnel data of Bartlett and Peterson and with low-speed theoretical data extended to a Mach number of 0.6.

Experimental Investigation of the Lift Frequency Response and Trailing-edge Flow Physics of a Surging Airfoil

Experimental Investigation of the Lift Frequency Response and Trailing-edge Flow Physics of a Surging Airfoil
Author: Wenbo Zhu
Publisher:
Total Pages: 0
Release: 2021
Genre: Aerodynamics
ISBN:

With the growing interest in faster helicopters, commercial unmanned vertical lift vehicles, and vertical-axis-wind-turbines, it becomes critical to understand the unsteady loading on the rotor blade so that more efficient designs can be produced. The classic unsteady airfoil theories are tools useful to predict loads on two-dimensional rotor blade sections for moderate surging, pitching, and plunging motions. Specifically, Isaacs' surging airfoil theory assumes a two-dimensional thin flat plate at small angles of attack under a sinusoidally-oscillating freestream in an incompressible inviscid flow. The unsteady lift coefficient is then solved by the potential flow theory with the Kutta condition at the trailing-edge. However, Isaacs' surging airfoil theory has not been fully validated experimentally. As a result, this work is intended to investigate this surging airfoil theory experimentally and evaluate the key parameters in such unsteady motion, the flow physics, and the validity of the various assumptions. Firstly, the wind tunnel at the Aerospace Research Center, the Ohio State University, is modified to generate a sinusoidally-oscillating freestream in the test section with the design of rotating elliptical choke-vanes downstream. The modified unsteady wind tunnel is characterized to understand its unsteady response for a surging airfoil experiment, with the help of various intrusive measurements and analytical and numerical tools. Secondly, a NACA 0018 and a NACA 63-015A airfoil were tested at moderate surging flow conditions in terms of Reynolds number, Mach number, velocity amplitude, and reduced frequency. Surface pressure measurements of the lift frequency response indicated a significant disagreement with Isaacs' theory in terms of the lift overshoot and undershoot, where optical measurements revealed signs of an oscillatory trailing-edge stagnation condition for the surging airfoil which violates the classic Kutta condition in the unsteady potential flow theory. Finally, a hypothesis was formulated about the momentum balance of shear layers at the trailing-edge, which is intended to develop a viscous and unsteady correction to the classic Kutta condition and connect the unsteady stagnation condition with the resulting lift frequency response. A near-wake velocity survey was conducted on a NACA 63-015A airfoil with various flow transition behaviors. Results supported the hypothesis that a dynamic shear layer momentum balance exists near the trailing-edge and its dynamics can be correlated to the measured lift undershoot and overshoot. Overall, the experimental study in this work offers additional insight into the unsteady trailing-edge stagnation condition, and highlights the need to modify the Kutta condition with unsteady and viscous effects for a surging airfoil.