On the Statistical Theory of Turbulence (open access)

On the Statistical Theory of Turbulence

A study is made of the spectrum of isotropic turbulence with the aid of the customary method of Fourier analysis. The spectrum of the turbulent motion is derived to the smallest wave lengths, that is, into the laminar region, and correlation functions and pressure fluctuations are calculated. A comparison with experimental results is included. Finally, an attempt is made to derive the numerical value of a constant characteristic of the energy dissipation in isotropic turbulence.
Date: January 1958
Creator: Heisenberg, W.
System: The UNT Digital Library
On the Use of the Harmonic Linearization Method in the Automatic Control Theory (open access)

On the Use of the Harmonic Linearization Method in the Automatic Control Theory

"The method of harmonic linearization (harmonic balance), first proposed by N. M. Krylov and N. N. Bogolyubov for the approximate investigation of nonlinear vibrations, has been developed and received wide practical application to problems in the theory of automatic control. Recently, some doubt has been expressed on the legitimacy of application of the method to these problems, and assertions were made on the absence in them of a small parameter of any kind. Nevertheless, the method gives practical, acceptable results and is a simple and powerful means in engineering computations. Hence, the importance of questions arises as to its justification" (p. 1).
Date: January 1957
Creator: Popov, E. P.
System: The UNT Digital Library
A Theoretical Investigation of the Drag of Generalized Aircraft Configurations in Supersonic Flow (open access)

A Theoretical Investigation of the Drag of Generalized Aircraft Configurations in Supersonic Flow

"It seems possible that, in supersonic flight, unconventional arrangements of wings and bodies may offer advantages in the form of drag reduction. It is the purpose of this report to consider the methods for determining the pressure drag for such unconventional configurations, and to consider a few of the possibilities for drag reduction in highly idealized aircraft. The idealized aircraft are defined by distributions of lift and volume in three-dimensional space, and Hayes' method of drag evaluation, which is well adapted to such problems, is the fundamental tool employed" (p. 1).
Date: January 1957
Creator: Graham, E. W.; Lagerstrom, P. A.; Licher, R. M. & Beane, B. J.
System: The UNT Digital Library
Turbulence in the Wake of a Thin Airfoil at Low Speeds (open access)

Turbulence in the Wake of a Thin Airfoil at Low Speeds

From Summary: "Experiments have been made to determine the nature of turbulence in the wake of a two-dimensional airfoil at low speeds. The experiments were motivated by the need for data which can be used for analysis of the tail-buffeting problem in aircraft design. Turbulent intensity and power spectra of the velocity fluctuations were measured at a Reynolds number of 1.6 x 10(exp 5) for several angles of attack. Total-head measurements were also obtained in an attempt to relate steady and fluctuating wake properties."
Date: January 1957
Creator: Campbell, George S.
System: The UNT Digital Library
Directional Stability of Towed Airplanes (open access)

Directional Stability of Towed Airplanes

"So far, very careful investigations have been made regarding the flight properties, in particular the static and dynamic stability, of engine-propelled aircraft and of untowed gliders. In contrast, almost no investigations exist regarding the stability of airplanes towed by a towline. Thus, the following report will aim at investigating the directional stability of the towed airplane and, particularly, at determining what parameters of the flight attitude and what configuration properties affect the stability" (p. 1).
Date: January 1956
Creator: Söhne, W.
System: The UNT Digital Library
Remark on the Theory of Lifting Surfaces (open access)

Remark on the Theory of Lifting Surfaces

First, the Weissinger method, as it applies to a rectangular wing,is discussed. By building on this framework it is shown how to treat the lift problem for any thin wing of arbitrary plan form. The result of using this method may be arrived at by examination of the general equations applying to lifting surfaces.
Date: January 1956
Creator: Muggia, Aldo
System: The UNT Digital Library
The Plane Problem of the Flapping Wing (open access)

The Plane Problem of the Flapping Wing

"In connection with an earlier report on the lifting vortex sheet which forms the basis of the following investigations this will show how the methods developed there are also suitable for dealing with the air forces for a wing with a circulation variable with time. The theory of a propulsive wing flapping up and down periodically in the manner of a bird's wing is developed. This study shows how the lift and its moment result as a function of the flapping motion, what thrust is attainable, and how high is the degree of efficiency of this flapping propulsion unit if the air friction is disregarded" (p. 1).
Date: January 1954
Creator: Birnbaum, Walter
System: The UNT Digital Library
Calculation of the Shape of a Two-Dimensional Supersonic Nozzle in Closed Form (open access)

Calculation of the Shape of a Two-Dimensional Supersonic Nozzle in Closed Form

"The idea is advanced of making a supersonic nozzle by producing one, two, or three successive turns of the whole flow; with the result that the wall contour can be calculated exactly by means of the Prandtl-Meyer "Lost Solution" (p. 1).
Date: January 1953
Creator: Cunsolo, Dante
System: The UNT Digital Library
Steady Vibrations of Wing of Circular Plan Form and Theory of Wing of Circular Plan Form (open access)

Steady Vibrations of Wing of Circular Plan Form and Theory of Wing of Circular Plan Form

This paper treats the problem of determining the lift, moment, and induced drag of a thin wing of circular plan form in uniform incompressible flow on the basis of linearized theory. As contrasted to a similar paper by Kinner, in which the acceleration potential method was used, the present paper utilizes the concept of the velocity potential. Calculations of the lift and moment are presented for several deformed shapes.
Date: January 1953
Creator: Kochin, N. E.
System: The UNT Digital Library
Concerning the Flow About Ring-Shaped Cowlings of Finite Thickness: Part 1 (open access)

Concerning the Flow About Ring-Shaped Cowlings of Finite Thickness: Part 1

"It is shown how one may obtain, in a simple manner, the forms of ring-shaped bodies from existing tables of functions according to the customary method of superposition of flow due to singularities and parallel flow. A number of examples of the forms and pressure distributions of annular source bodies with and without hub body are given, and the inlet conditions of such ring-shaped cowlings are investigated. Furthermore, the annular bodies of finite length are indicated that correspond to Joukowsky profiles for the two-dimensional case" (p. 1).
Date: January 1952
Creator: Küchemann, Dietrich
System: The UNT Digital Library
Flight Experiences and Tests on Two Airplanes With Suction Slots (open access)

Flight Experiences and Tests on Two Airplanes With Suction Slots

Memorandum presenting the flight tests of two airplanes with boundary-layer control are reviewed. The results for take-off and flight test measurements are reported. Suction proved to be an effective means of obtaining high lifts during flights.
Date: January 1950
Creator: Stüper
System: The UNT Digital Library
Investigations of Compression Shocks and Boundary Layers in Gases Moving at High Speed (open access)

Investigations of Compression Shocks and Boundary Layers in Gases Moving at High Speed

The mutual influences of compression shocks and friction boundary layers were investigated by means of high speed wind tunnels.Schlieren optics provided a clear picture of the flow phenomena and were used for determining the location of the compression shocks, measurement of shock angles, and also for Mach angles. Pressure measurement and humidity measurements were also taken into consideration.Results along with a mathematical model are described.
Date: January 1947
Creator: Ackeret, J.; Feldmann, F. & Rott, N.
System: The UNT Digital Library
Method of Characteristics for Three-Dimensional Axially Symmetrical Supersonic Flows (open access)

Method of Characteristics for Three-Dimensional Axially Symmetrical Supersonic Flows

"An approximation method for three-dimensional axially symmetrical supersonic flows is developed; it is based on the characteristics theory (represented partly graphically, partly analytically). Thereafter this method is applied to the construction of rotationally symmetrical nozzles" (p. 1).
Date: January 1947
Creator: Sauer, R.
System: The UNT Digital Library
Possibilities of Reducing the Length of Axial Superchargers for Aircraft Motors (open access)

Possibilities of Reducing the Length of Axial Superchargers for Aircraft Motors

Axial blowers are gaining importance as aircraft engine superchargers. However, the pressure head obtainable per stage is small. Due to the necessary great number of stages, the physical length of the blower becomes too great for an airworthy device. This report discusses several types of construction that permit a reduction in the length of the blower.
Date: January 1947
Creator: Eckert, B.
System: The UNT Digital Library
Pressure-Distribution Measurements on a Straight and on a 35 Degree Swept-Back Tapered Wing (open access)

Pressure-Distribution Measurements on a Straight and on a 35 Degree Swept-Back Tapered Wing

"The spanwise lift-distribution measurements in straight air flow on a straight and a 35 deg swept-back tapered wing (NACA airfoil section 0012) are compared with theory for two angles of attack each (alpha approx. 6 deg and alpha approx. 12 deg) in the unstalled range of flow. The complete pressure distribution for the greater of the two angles is indicated" (p. 1).
Date: January 1947
Creator: Thiel, A. & Weissinger, J.
System: The UNT Digital Library
Determination of the Stresses Produced by the Landing Impact in the Bulkheads of a Seaplane Bottom (open access)

Determination of the Stresses Produced by the Landing Impact in the Bulkheads of a Seaplane Bottom

"The present report deals with the determination of the impact stresses in the bulkhead floors of a seaplane bottom. The dynamic problem is solved on the assumption of a certain elastic system, the floor being assumed as a weightless elastic beam with concentrated masses at the ends (due to the mass of the float) and with a spring which replaces the elastic action of the keel in the center. The distributed load on the floor is that due to the hydrodynamic force acting over a certain portion of the bottom" (p. 1).
Date: January 1944
Creator: Darevsky, V. M.
System: The UNT Digital Library
An Experimental Investigation of the Flow of Air in a Flat Broadening Channel (open access)

An Experimental Investigation of the Flow of Air in a Flat Broadening Channel

"The wide use of diffusers, in various fields of technology, has resulted in several experimental projects to study the action and design of diffusers. Most of the projects dealt with steam (steam turbine nozzles). But diffusers have other applications - that is, ventilators, smoke ducts, air coolers, refrigeration, drying, and so forth. At present there is another application for diffusers in wind-tunnel design" (p. 1).
Date: January 1944
Creator: Vedernikoff, A. N.
System: The UNT Digital Library
Profile Measurements During Cavitation (open access)

Profile Measurements During Cavitation

One of the problems of modern cavitation research is the experimental determination of the wing loads on airfoils during cavitation. Such experiments were made on various airfoils with the support of the naval ministry at the Kaiser Wilhelm Institute for Flow Research at Goettingen.
Date: January 1944
Creator: Walchner, O.
System: The UNT Digital Library
Pressure Distribution in Nonuniform Two-Dimensional Flow (open access)

Pressure Distribution in Nonuniform Two-Dimensional Flow

In an attempt to follow the time rate of change of the processes in turbulent flows by quantitative measurements the measurement of the pressure is often beset with insuperable difficulties for the reason that the speeds and hence the pressures to be measured are often very small. On the other hand, the measurement of very small pressures requires, at least, considerable time, so that the follow-up of periodically varying processes is as goad as impossible. In order to obviate these difficulties a method, suggested by Prof. Prandtl, has been developed by which the pressure distribution is simply determined from the photographic flow picture.
Date: January 1943
Creator: Schwabe, M.
System: The UNT Digital Library
Contribution to the ideal efficiency of screw propellers (open access)

Contribution to the ideal efficiency of screw propellers

From Summary: "The stipulation of best thrust distribution is applied to the annular elements of the screw propeller with infinitely many blades in frictionless, incompressible flow and an ideal jet propulsion system derived possessing hyperbolic angular velocity distribution along the blade radius and combining the advantage of uniform thrust distribution over the section with minimum slipstream and rotation losses. This system is then compared with a propeller possessing the same angular velocity at all blade elements and the best possible thrust distribution secured by means of an induced efficiency varying uniformly over the radius. Lastly, the case of the lightly loaded propeller also is discussed."
Date: January 1942
Creator: Hoff, Wilhelm
System: The UNT Digital Library
The Design of Propeller Blade Roots (open access)

The Design of Propeller Blade Roots

Predicated on the assumption of certain normal conditions for engine and propeller, simple expressions for the static and dynamic stresses of propeller blade roots are evolved. They, in combination with the fatigue strength diagram of the employed material, afford for each engine power one certain operating point by which the state of stress serving as a basis for the design of the root is defined. Different stress cases must be analyzed, depending on the vibration tendency of engine and use of propeller. The solution affords an insight into the possible introduction of different size classes of propeller.
Date: January 1942
Creator: Cordes, G.
System: The UNT Digital Library
The resistance coefficient of commercial round wire grids (open access)

The resistance coefficient of commercial round wire grids

From Summary: "The resistance coefficients of commercial types of round wire grids were examined for the purpose of obtaining the necessary data on supercharger test stands for throttling the inducted air to a pressure corresponding to a desired air density. The measurements of the coefficients ranged up to Reynolds numbers of 1000. In the arrangement of two grids in tandem, which was necessary in order to obtain high resistance coefficients with the solidity, that is, mesh density of grid, was found to be accompanied by a further relationship with the mutual spacing of the individual grids."
Date: January 1942
Creator: Eckert, B. & Pflüger, F.
System: The UNT Digital Library
Stagnation Temperature Recording (open access)

Stagnation Temperature Recording

"The present report deals with the development of a thermometer for recording stagnation temperature in compressible mediums in turbulent flow within 1 to 2 percent error of the adiabatic temperature in the stagnation point, depending upon the speed. This was achieved by placing the junction of a thermocouple near the stagnation point of an aerodynamically beneficial body, special care being taken to assure an uninterrupted supply of fresh compressed air on the junction together with the use of metals of low thermal conductivity, thus keeping heat-transfer and heat-dissipation losses to a minimum. In other experiments the use of the plate thermometer was proved unsuitable for practical measurements by reason of its profound influence in the reading by the Reynolds number and by the direction of flow" (p. 1).
Date: January 1941
Creator: Wimmer, W.
System: The UNT Digital Library
Constant-Pressure Blowers (open access)

Constant-Pressure Blowers

"The conventional axial blowers operate on the high-pressure principle. One drawback of this type of blower is the relatively low pressure head, which one attempts to overcome with axial blowers producing very high pressure at a given circumferential speed. The Schicht constant-pressure blower affords pressure ratios considerably higher than those of axial blowers of conventional design with approximately the same efficiency" (p. 1).
Date: January 1940
Creator: Sörensen, E.
System: The UNT Digital Library