Radiation Heat Transfer

The pm-pose of this report is to describe work which has been carried out under the subject grant during the period from April 1, 1961, to October 1, 1961. Technical supervision and guidance of the work was provided by Mr. Seymour Lieblein, Chief, Flow Physics Branch, NASA Lewis Research Center, Cleveland, Ohio

An Engineering Approach to the Variable Fluid Property Problem in Free Convection

An analysis is made for the variable fluid property problem for laminar free convection on an isothermal vertical flat plate. For a number of specific cases, solutions of the boundary layer equations appropriate to the variable property situation were carried out for gases and liquid mercury. Utilizing these findings, a simple and accurate shorthand procedure is presented for calculating free convection heat transfer under variable property conditions. This calculation method is well established in the heat transfer field. It involves the use of results which have been derived for constant property fluids, and of a set of rules (called reference temperatures) for extending these constant property results to variable property situations. For gases, the constant property heat transfer results are generalized to the variable property situation by replacing beta (expansion coefficient) by one over T sub infinity and evaluating the other properties at T sub r equals T sub w minus zero point thirty-eight (T sub w minus T sub infinity). For liquid mercury, the generalization may be accomplished by evaluating all the properties (including beta) at this same T sub r. It is worthwhile noting that for these fluids, the film temperature (with beta equals one over T sub infinity for gases) appears to serve as an adequate reference temperature for most applications. Results are also presented for boundary layer thickness and velocity parameters

Radiant Emission Characteristics of Diffuse Conical Cavities

Radiant-energy emission of diffuse conical cavitie

Thermal Radiation Absorption in Rectangular-Groove Cavities

Thermal radiation absorption in rectangular-groove cavitie

Absorption and Emission Characteristics of Diffuse Spherical Enclosures

The thermal radiation characteristics of spherical cavities are of practical interest in connection with the absorption of radiant energy for both space-vehicle and terrestrial applications. Also, spherical cavities are of potential use as sources of black-body energy. The purpose of this brief paper is to determine both the absorption and emission characteristics of spherical cavities which are diffuse reflectors and emitters

THE APPROACH, VAULTING PERFORMANCE, AND JUDGE’S SCORE IN WOMEN’S ARTISTIC GYMNASTICS

The approach step, hurdle, and round-off length characteristics of women’s vaulting were examined in relation to post-flight performance and judge’s score during five trials for five gymnasts. Two reference strips with alternating 50cm black and white intervals were placed on either side of the approach area. One 50Hz panning camera filmed the approach, with two stationary 250Hz cameras filming the post-flight vaulting performance. Two qualified judges viewed each trial and provided a performance score. A significant correlation was found between velocity during visual control of the approach, post-flight time (p≤0.01) and judge’s score (p≤0.01). Specifically, increased approach velocity leads to an increase in round-off velocity (p≤0.01), resulting in a short high velocity take-off from the board (p≤0.01)

VISUAL CONTROL OF HIGH-VELOCITY FOOT-TARGETING TASKS IN NOVICE AND EXPERT PERFORMERS

The visual regulation of step length and duration during target-directed locomotion was examined in relation to gait mode, approach velocity, obstacle task, and practice during a series of four experiments. Visual regulation was found to decrease in novice performers but increase in expert performers when approach velocity increased. The aptitude of expert performers is partly due to their ability to visually regulate for a greater time and distance during the approach, resulting in more accurate final foot placement. The speed/accuracy trade-off may be a mechanism that protects novice performers from harm whilst negotiating obstacles in the everyday environment

Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control

For many years it was believed that an unstable periodic orbit with an odd number of real Floquet multipliers greater than unity cannot be stabilized by the time-delayed feedback control mechanism of Pyragus. A recent paper by Fiedler et al uses the normal form of a subcritical Hopf bifurcation to give a counterexample to this theorem. Using the Lorenz equations as an example, we demonstrate that the stabilization mechanism identified by Fiedler et al for the Hopf normal form can also apply to unstable periodic orbits created by subcritical Hopf bifurcations in higher-dimensional dynamical systems. Our analysis focuses on a particular codimension-two bifurcation that captures the stabilization mechanism in the Hopf normal form example, and we show that the same codimension-two bifurcation is present in the Lorenz equations with appropriately chosen Pyragus-type time-delayed feedback. This example suggests a possible strategy for choosing the feedback gain matrix in Pyragus control of unstable periodic orbits that arise from a subcritical Hopf bifurcation of a stable equilibrium. In particular, our choice of feedback gain matrix is informed by the Fiedler et al example, and it works over a broad range of parameters, despite the fact that a center-manifold reduction of the higher-dimensional problem does not lead to their model problem.Comment: 21 pages, 8 figures, to appear in PR