published_or_final_version / Civil Engineering / Master / Master of Philosophy

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Thesis (M.S.)--University of Missouri, School of Mines and Metallurgy, 1963. / Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed July 1, 2008) Includes bibliographical references (p. 32).

This thesis presents the numerical solution for two-dimensional incompressible viscous flow over a rigid bluff body which is elastically supported or alternately undergoing a specified harmonic oscillations. Solutions for the related associate flow in which the body is at rest in a two-dimensional incompressible time-dependent viscous flow have also been -obtained. This work is an extension of the work by Pattani [19] to include the effect of a steady far field flow on an oscillating body. The numerical model utilizes the finite element method based on a velocity-pressure primitive variable representation of the complete Navier-Stokes equations. Curved isoparametric elements with quadratic interpolation for velocities and bilinear interpolation for pressure are used. Nonlinear boundary conditions on the moving body are represented to the first order in the body amplitude parameter. The method of averaging is used to obtain the resulting periodic motion of the fluid. Three non-dimensional parameters are used to completely characterise the flow problem: the frequency Reynolds number Rω , the Reynolds number of steady flow Rℯ₁ and the Reynolds number for time-dependent flow Rℯ₂. Numerical results are obtained for a circular body, a square body and an equilateral triangular body. A parametric study is conducted for different values of the Reynolds numbers in the viscous flow regime. In all cases, results are obtained for streamlines, streaklines, added mass, added damping, added force and the drag coefficients. The limiting cases of steady flow over a fixed body and an oscillating body in a stationary fluid are checked with known results. Results for the associated flow are also obtained. The transformations derived, between the two associated flows are checked. Good agreement is obtained between the present results and other known results. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

Digitized by Kansas Correctional Industries

Call number: LD2668 .T4 1956 L54 / Master of Science

published_or_final_version / Civil Engineering / Master / Master of Philosophy

No description available.

The aim of this work was to use experimental, analytical and computational Computational Fluid Dynamic - CFD methodologies to investigate so-called highly transient axi-symmetric squeeze flows. These flows occur between two co-axial and parallel discs which are subjected to an impact, arising from a falling mass, which induces a constant energy squeezing system, as distinct from the traditionally investigated constant force or constant velocity squeezing systems. Experiments were conducted using a test cell comprising two parallel discs of diameter 120 mm with a flexible bladder used to contain fluid. This test cell was bolted onto the base of a drop-weight tester used to induce constant energy squeeze flows. Glycerine was used as the working fluid, the temperature of which was appropriately monitored. Disc separation, together with pressures at three radial positions, were measured throughout the experimental stroke typically less than 10 ms duration. Two additional pressure transducers at the same radial position as the outermost transducer were also used to monitor and subsequently correct for minor non-axi-symmetries that arose in the system. Approximately 150 tests were conducted, embracing combinations of drop height from 0.1 to 1 m, drop mass from 10 to 55 kg and initial disc separation from 3 to 10 mm. Three elementary features were typically observed: a distinct preliminary pressure spike 1 immediately after impact corresponding to very large accelerations exceeding over 6 km/s2 in some experiments, a secondary major pressure spike 2 towards the termination of the stroke corresponding to diminishing disc separations and a bridging region 3 joining the two spikes corresponding to somewhat reduced pressures. While pressure distributions were observed to be closely parabolic during the major pressure spike, some uncertainty was present during the preliminary pressure spike, ascribed to sensitivities to deviations from axi-symmetry, and the likelihood of inertially generated pressures at the edge of the disc. The former feature appears not to have been reported on in the formal literature. iii Four analytical models were considered, invoking the parallel flow assumption in conjunction with the Navier Stokes equations: an inviscid/inertial model, a viscous model the lubrication approximation, a quasi-steady linear QSL model and a quasi-steady corrected linear QSCL model. The first two of these models, on incorporation of measured disc separations, and the derived velocities and accelerations, achieved acceptable correlations with pressure measurements largely within uncertainty bounds during the initial impact and towards the end of the stroke, respectively. The QSL model agreed satisfactorily with measurements throughout the entire duration of the experiment, while the QSCL model, by incorporating non-linear effects in an approximate linear way, yielded somewhat better correlations. By invoking the parallel flow assumption, all four models predict a parabolic radial pressure distribution. Utilizing a hypothetical case in which variations of disc separation, velocity and acceleration were considered employing similar magnitudes and timescales to those that were measured, outputs of the QSL model yielded results that correlated closely with CFD predictions, while the QSCL data were somewhat better. On the basis of the CFD data it was also inferred that, within practical uncertainty bounds, the parallel flow assumption was valid for the range of disc separation to radius ratios embraced in the current investigation.