M.S.

Ph. D.

M.S.

The experimental investigation of the application of mechanical interferometry to the construction of influence lines has proven successful. The method is similar in principle to other methods of model analysis. Mechanical interferometry offers the advantages of speed and permanence of record over the other methods in present use. The idea seems to offer commercial possibilities. / Master of Science

Master of Science

Master of Science

The purpose of this investigation was to study the effect of the direction of flow with varying phase velocities on the overall, mass-transfer coefficient in a horizontal, unpacked, extraction tube, for the system n-butanol-water, and for the system 1,1,2-trichloroethane-sectione-water. / Master of Science

The purpose of this work is to discover an optimum sample size to be used for deciding between two methods (populations) to choose for future production. The procedure involves the formulation of a loss function, expressing the expected loss due to choosing the population with the small mean, as a function of the difference between the population means, the amount to be produced and the cost of sampling. A minimax procedure is applied to obtain the optimum sample size. Since the function does not lend itself conveniently to mathematical considerations, special cases involving the difference between the means are considered and an optimum sample size is found for these cases. In all cases, the optimum sample size is an explicit function of the amount to be produced, the cost of sampling and the standard deviation. / Master of Science

As pointed out in the “Discussion of Results”, the sub-surface stresses in a gear tooth decrease very rapidly with its depth. This result serves as a supporting evidence to the common practice of case-hardening the gear teeth. Previously this was done according to the mechanical properties of the gear materials, but without any analytical basis. Gear stress is a very complicated problem which includes in general the static, dynamic and fatigue stresses. Most of all, many uncertainties in service such as the impact load, acceleration load and work hardening are involved. These uncertainties make it difficult to get a general solution. The photoelastic method is an effective one for making a static study of gear stress, but it is understood that this method can not solve the whole problem, Since if the static stresses are considered further studies covering the notch sensitivity, friction effect, dynamic effect, and load distribution are still needed. / Master of Science

It has been found that the hodograph method can be applied with considerable ease to problems of stead, two-dimensional, irrotational, compressible fluid motion in which the bounding streamlines are made up partially of straight boundaries and partially of free streamlines. As in classical theory, these solutions can be used to determine important physical characteristics of the problem such as the equations of free streamlines and the contraction coefficient provided it is possible to carry out the mathematical operations. It must be realized that the hodograph method gives only approximate solutions. However, the hodograph solution gives a more accurate description of a fluid flow than does the classical solution since the hodograph method takes into account the effects of compressibility. It is hoped that the methods used and the solutions obtained in this thesis will aid in giving further insight into the problems of compressible fluid flow. / Master of Science