Mechanical Engineering Commons^™

Numerical Solution Of Navier-Stokes Equation By Finite Element Method, Kuan-Tzong Lee

Theses

A finite element method for solving the entrance flow in a parallel-plate channal at low Reynolds number has been studied. Two methods of formulation for both incompressible viscous and inviscid fluid flows were developed. The first uses stream function and potential function as field variables while the second uses velocity and pressure. Both formulations presented here ultilized variational principle and weighted residual method. The numerical example was solved by constrained variational principle with penalty functions in conjunction with the Newton-Raphson method. A 9-node quadratic quadrilateral element was used in this example. Numerical results for entrance flow problem were obtained for …

On The Analysis And Design Of Clamped Rectangular Plate With Partial Load, Yacin Saaid Jaboury

Theses

In this Thesis, maximum deflection and bending moments of a partially loaded clamped rectangular plate are studied. The loading is uniformly applied to a retangular area proportional to the shape.

Navier's Solutions on partially loaded simply supported rectangular plate is superimposed with edge moments to give the clamped boundry condition.

Solutions of maximum deflection and bending moments are derived in Double Series form. A Fortran program is employed in obtaining the numerical results. When the partially loaded area approaches zero it becomes a centrally loaded case; and when loading area to plate area ratio approaches unity it becomes a uniformly …

Impingement Of An Axi-Symmetric Jet On A Flat Surface, Amir J. Daibes

Theses

An incompressible, inviscid irrotational flow model was used to represent the normal impingement of a circular axisymmetric jet upon a flat plate. An analytical investigation was conducted to determine the free surface of the jet and the solution of the potential flow problem was obtained using finite difference techniques for jet height-to-nozzle radius ratio of 2.4.

The velocity and pressure distributions at the plate surface and along the jet centerline were obtained.

The results from the finite difference solution are in close agreement with other most recent results from available experimental, and approximate solutions to the potential flow problem.

A Three-Dimensional Kinematic Model Of The Human Knee, Wayne Ke-Wung Li

Theses

This thesis describes two kinematic models of human knee which may be used to study the motion of the knee and the forces in the ligaments of the knee. In one model, the ligaments are simulated by rigid links connected to links representing the articulating bones at the centroids of the areas of insertion of the ligaments. The condylar higher pair connections are simulated by equivalent linkages connected by resolutes. In an advanced model, the rigid ligament links are replaced by springs.

The IMP procedure, a powerful kinematic linkage analysis method, is employed to study the motion and forces in …

Axisymmetric Air Jet Impinging On A Convex Hemispherical Plate, David C. Chan

Theses

Experimental investigation was conducted on an axisymmetric, submerged air jet impinging normally on a smooth convex hemisphere. Three nozzle diameters of 0.5" (12.7mm), 0.375" (9.525mm) and 0.25" (6.35mm) were used and tests were run at Reynolds number range of 14,700 to 84,000.

The results obtained in the free jet and deflection zones were found to confirm the works of previous investigators. As for the fully developed wall jet region, the following points are noted:

1. The maximum wall-velocity decay was found to possess a slightly higher rate than that of either the flat plate or the concave hemisphere.

2. The mean velocity …

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The Creep And Stress Relaxation Behavior Of Silver Bearing Copper Wire, Alfred Fox

Theses

Creep and stress-relaxation experiments were performed on silverless and silver bearing copper in the temperature range 73F to 250F. The creep experiments were conducted at constant load and temperature, the stress-relaxation tests at constant total strain and temperature for a total time period of 1000 hours. The effect of silver addition of up to 0.2 percent w/o (60oz per ton) on the creep and stress-relaxation behavior of spectrographically pure copper (99.999+ Cu) as well as on that of tough pitch and oxygen free coppers of lesser purity was studied. Spectrographically pure copper was found to be much more susceptible to …

A New Technique For Steady State And Transient Analyses Of Incompressible Flow Networks, George V. Catanzaro

Theses

A new technique for the calculation of the transient or the steady-state mass flow rate and pressure distribution in incompressible flow networks is presented. Employing the matrix method of network analysis, the nodal continuity and branch momentum equations are solved simultaneously to obtain explicit relations giving the unknown nodal pressures and branch mass flow rates. In this manner, the transient or the steady-state behavior of incompressible flow networks with arbitrary configuration having nodal sources and sinks as well as branch transducers can be determined. In contrast with the conventional steady-state network analysis methods, the new technique can be extended to …

The Computer Evaluation Of The Natural Frequencies Of Vibrating Circular Plates With Free, Fixed And Simply Supported Edges, Thomas Michael Juliano

Theses

The natural frequencies of the transverse vibration of a thin, isotropic, circular plate with free, clamped, and simply supported edge conditions were studied extensively. The frequency equation for each edge condition was derived from the classical partial differential equation of plate vibration. These equations, which are in terms of Bessel functions, were then solved numerically to find the natural frequencies. Since the accuracy of the Bessel function values is very important in evaluating these frequencies, a comprehensive digital computer program was devised to calculate these values to eleven digit accuracy. In this Bessel function program four different methods were required …

Experimental Investigation Of Submerged, Incompressible, Turbulent, Impinging Jets, David Tzeh-Hsian Lee

Theses

Measurements concerning various flow parameters of jets impinging on a smooth lucite plate and a heated metal plate have been carried out. In particular, it is shown that the potential core length of a jet is a function of the Reynolds number and of the jet diameter. It has also been demonstrated that impinging jets behave in many important respects like free jets, except in the immediate vicinity of the target plate.

The flow behavior in the wall jet zone was investigated experimentally, and a satisfactory agreement with the results of the previous investigators was found. The maximum velocity decay …

The Effect Of Internal Combustion Engine Operation Upon The Viscometric Properties Of Polymer Thickened Multi-Viscosity Crankcase Oils, William Charles Philcox

Theses

The effects of engine mileage upon the viscometric properties of seven different brands of multi-viscosity engine oils were examined by subjecting each brand of oil to an average of 1500 miles of service in the crankcases of different passenger cars.

Oil samples were taken every 500 miles after the oil was put in the crankcase. The control oil sample was taken from a can of oil at the time the oil was put in the engine.

The viscosity indices and kinematic viscosities at 100° F and 210° F were calculated for each sample of oil. The percent change in viscosity …

The Effects Of Air-Water Two Phase Flow On The Performance Of A Centrifugal Pump, Karnig Ekizian

Theses

This study investigates the performance of a 1-inch long 4-vane open impeller centrifugal pump under two phase flow conditions. The paddle wheel pump, as branded by its manufacturer the Worthington Corporation, had a specific speed of 3400 (based on gallons per minute, feet of water and revolutions per minute) corresponding to a 7-inch impeller diameter. A 1/8-inch perforated steel pipe carried the compressed air to within four inches of the impeller eye where the air was injected into the water stream (See figures 18 and 20).

The three variable inputs were, water flow rate, pump speed and air flow rate. …

Heat Transfer Between A Turbulent Round Jet And A Segmented Flat Plate Perpendicular To It, John Edward Chamberlain

Theses

Heat transfer between a room temperature, turbulent round jet and a segmented flat plate perpendicular to it has been investigated.

The heat transfer surface consisted of invar rings insulated from each other with silicone rubber. The source of heat was steam at atmospheric pressure condensing on the back of the heat transfer surface.

Since data were taken over a wide range of vertical distances between the nozzle and the flat surface both the potential cone and the fully developed regions of the jet were observed interacting with the heated plate.

It was determined that two modes of heat transfer occur; …

Behavior Change Through Training, Robert Walter Messerschmidt

Theses

This thesis represents an investigation of attitude and behavior change as a result of human relations training, The elements of heredity and environment are proffered as a basis for attitude and behavior formation. It is denoted that these elements are also instrumental in subsequent development of adult behavior.

As noted in the literature, the term "individual differences" embodies the effect of virtually unique heredity and environmental conditions to which each person is exposed. These differences are also partly determined by the growth in developmental trends, which varies from individual to individual and from time to time.

The existence of individual …

Cuprous Oxide Rectification, Philip G. Cobb

Theses

It has been shown that cuprous oxide, when formed from a copper surface by suitable heat treatment, has remarkable rectifying properties towards alternating voltages applied through the oxide and copper. The purpose of our work was to investigate, the effect fully from all angles possible, and especially from those considerations affecting the constancy and permanence in the electric circuit.

The work ranged from furnace operation to tests of completed units, and further to the development of a theory explaining as completely as possible this rectifying property.

It soon became apparent, that here was ideal thesis material, and so, with proper …