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Constrained by practical and economical considerations, one often uses seismic data with missing traces. The use of such data results in image artifacts and poor spatial resolution. Sometimes due to practical limitations, measurements may be available on a perturbed grid, instead of on the designated grid. Due to algorithmic requirements, when such measurements are viewed as those on the designated grid, the recovery procedures may result in additional artifacts. This paper interpolates incomplete data onto regular grid via the Fourier domain, using a recently developed greedy algorithm. The basic objective is to study experimentally as to what could be the size of the perturbation in measurement coordinates that allows for the measurements on the perturbed grid to be considered as on the designated grid for faithful recovery. Our experimental work shows that for compressible signals, a uniformly distributed perturbation can be offset with slightly more number of measurements.

This thesis presents results from the application of cryogenic cooling on multiple-pass friction stir processing and the subsequent orthogonal machining on friction stir processed and as-received Mg AZ31B-O disks, and shows their combined effects on microstructure and microhardness values. A simple friction stir tool, a specially designed fixture and liquid nitrogen are used to perform multiple-pass friction stir processing experiments on Mg AZ31B-O alloy. The friction stir processed and as-received sheets are then made into disks for the orthogonal machining experiments. This study analyzes the microhardness, microstructure changes by cryogenic friction stir processing and the effect of machining conditions such as dry, MQL and cryogenic and cutting parameters on the Mg AZ31B-O alloy. Four different speeds and three different feed rates are used for the orthogonal machining experiments. The effects of stirring parameters such as the translational feed, rotational speed, cooling conditions and the machining parameters are studied. The resulting microstructure and microhardness from these processes hold a key to the mechanical properties of the alloy. This analysis would help to understand and evaluate the specific aspects of grain size and microhardness that influence the fatigue life of a component.

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This thesis is concerned with distributed estimation in a wireless sensor network (WSN) with analog transmission. For a scenario in which a large number of sensors are deployed under a limited bandwidth constraint, a semi-orthogonal multiple-access channelization (MAC) approach is proposed to provide transmission of observations from K sensors to a fusion center (FC) via N orthogonal channels, where K≥N. The proposed semi-orthogonal MAC can be implemented with either fixed sensor grouping or adaptive sensor grouping. The mean squared error (MSE) is adopted as the performance criterion and it is first studied under equal power allocation. The MSE can be expressed in terms of two indicators: the channel noise suppression capability and the observation noise suppression capability. The fixed version of the semi-orthogonal MAC is shown to have the same channel noise suppression capability and two times the observation noise suppression capability when compared to the orthogonal MAC under the same bandwidth resource. For the adaptive version, the performance improvement of the semi-orthogonal MAC over the orthogonal MAC is even more significant. In fact, the semi-orthogonal MAC with adaptive sensor grouping is shown to perform very close to that of the hybrid MAC, while requiring a much smaller amount of feedback. Another contribution of this thesis is an analysis of the behavior of the average MSE in terms of the number of sensors, namely the scaling law, under equal power allocation. It is shown that the proposed semi-orthogonal MAC with adaptive sensor grouping can achieve the optimal scaling law of the analog WSN studied in this thesis. Finally, improved power allocations for the proposed semi-orthogonal MAC are investigated. First, the improved power allocations in each sensor group for different scenarios are provided. Then an optimal solution of power allocation among sensor groups is obtained by the convex optimization theory, and shown to outperform equal power allocation. The issue of balancing between the performance improvement and extra feedback required by the improved power allocation is also thoroughly discussed.

An experimental study was designed to examine and document the development and structures of turbulent 3D offset jets. The generic 3D wall jets at the same Reynolds numbers was used as the basis of comparison. The experiments were performed using a high resolution particle image velocimetry technique to perform velocity measurements at three Reynolds numbers based on the jet exit diameter and velocities of 5000, 10000 and 20000 and four jet offset height ratios of 0.5, 1.0, 2.0 and 4.0. The measurements were performed in the streamwise/wall-normal plane from 0 to 120 jet exit diameters and in the streamwise/lateral plane from 10 to 80 jet exit diameters. The velocity data were analyzed using (i) mean velocities and one-point statistics such as turbulence intensities, Reynolds stresses, triple velocity products and some terms in the transport equations for the turbulence kinetic energy, (ii) two-point velocity correlations to study how the turbulence quantities are correlated as well as the length scale and angle of inclination of the hairpin-like vortex structures, and (iii) proper orthogonal decomposition to examine the energy distribution and the role of the large scale structures in the turbulence intensities and Reynolds shear stresses. The decay of the maximum mean velocities and spread of the jet half widths became independent of Reynolds number much earlier in the generic wall jet than the offset jets. The flow development is delayed with increasing offset heights. The decay rate and wall-normal spread rate increased with the offset heights, whereas the lateral spread rate decreased with offset heights, which is consistent with previous studies. The two-point auto-correlations and the proper orthogonal decomposition results indicate the presence of more large scale structures in the outer and self-similar regions than in the inner and developing regions. The iso-contours of the streamwise autocorrelations in the inner regions were inclined at similar angles of β = 11.2 ± 0.6 degrees, which are in good agreement with reported values in boundary layer studies. The angles decrease with increasing distance from the wall.

The full model of a double-wishbone suspension has more than 30 differential-algebraic equations which takes a remarkably long time to simulate. By contrast, the look-up table for the same suspension is simulated much faster, but may not be very accurate. Therefore, developing reduced models that approximate complex systems is necessary because model reduction decreases the simulation time in comparison with the original model, enables real time applications, and produces acceptable accuracy. In this research, we focus on model reduction techniques for vehicle systems such as suspensions and how they are approximated by models having lower degrees of freedom. First, some existing model reduction techniques, such as irreducible realization procedures, balanced truncation, and activity-based reduction, are implemented to some vehicle suspensions. Based on the application of these techniques, their disadvantages are revealed. Then, two methods of model reduction for multi-body systems are proposed. The first proposed method is 2-norm power-based model reduction (2NPR) that combines 2-norm of power and genetic algorithms to derive reduced models having lower degrees of freedom and fewer number of components. In the 2NPR, some components such as mass, damper, and spring are removed from the original system. Afterward, the values of the remaining components are adjusted by the genetic algorithms. The most important advantage of the 2NPR is keeping the topology of multi-body systems which is useful for design purposes. The second method uses proper orthogonal decomposition. First, the equations of motion for a multi-body system are converted to explicit second-order differential equations. Second, the projection matrix is obtained from simulation or experimental data by proper orthogonal decomposition. Finally, the equations of motion are transferred to a lower-dimensional state coordinate system. The implementation of the 2NPR to two double-wishbone suspensions and the comparison with other techniques such as balanced truncation and activity-based model reduction also demonstrate the efficiency of the new reduction technique.

An experimental study was undertaken to investigate the effect of roughness on the characteristics of separated and reattached turbulent shear flow downstream of a backward facing step. Particle image velocimetry technique was used to conducted refined velocity measurements over a reference smooth acrylic wall and rough walls produced from sandpaper 36 and 24 grits positioned downstream of a backward facing step, one after another. Each experiment was conducted at Reynolds number based on the step height and centerline mean velocity of 7050. The results showed that sandpaper 36 and 24 grits increased the reattachment length by 5% and 7%, respectively, compared with the value obtained over the smooth wall. The distributions of the mean velocities, Reynolds stresses, triple velocity correlations and turbulence production are used to examine roughness effects on the flow field downstream of the backward facing step. Two-point auto-correlation function and proper orthogonal decomposition (POD) are also used to investigate the impact of wall roughness on the large scale structures.

This thesis is motivated by the necessity to understand the flow structure of turbulent flows in bends encountered in many technical applications such as heat exchangers, nuclear reactors and internal combustion engines. Flows in bends are characterised by strong secondary motions in terms of counter-rotating vortices (Dean cells) set up by a centrifugal instability. Specifically the thesis deals with turbulent flows in 90° curved pipes of circular cross-section with and without an additional motion, swirling or pulsatile, superposed on the primary flow.  The aim of the present thesis is to study these complex flows in detail by using time-resolved stereoscopic particle image velocimetry to obtain the three-dimensional velocity field, with complementary hot-wire anemometry and laser Doppler velocimetry measurements. In order to analyse the vortical flow field proper orthogonal decomposition (POD) is used. The so called ``swirl-switching'' is identified and it is shown that the vortices instantaneously, ``rock'' between three states, viz. a pair of symmetric vortices or a dominant clockwise or counter-clockwise Dean cell. The most energetic mode exhibits a single cell spanning the whole cross-section and ``rolling'' (counter-)clockwise in time. However, when a honeycomb is mounted at the inlet of the bend, the Dean vortices break down and there is strong indication that the ``swirl-switching'' is hindered. When a swirling motion is superimposed on the incoming flow, the Dean vortices show a tendency to merge into a single cell with increasing swirl intensity. POD analysis show vortices which closely resemble the Dean cells, indicating that these structures co-exist with the swirling motion. In highly pulsating turbulent flow at the exit of a curved pipe, the vortical pattern is diminished or even eliminated during the acceleration phase and then re-established during the deceleration. In order to investigate the effect of pulsations and curvature on the performance of a turbocharger turbine, highly pulsating turbulent flow through a sharp bend is fed into the turbine. Time-resolved pressure and mass-flow rate measurements show that the hysteresis loop in the pressure-ratio-mass-flow plane, may differ significantly between straight and curved inlets, however the mean operating point is only slightly affected. / <p>QC 20140523</p>

An experimental study was designed to examine and document the development and structures of turbulent 3D offset jets. The generic 3D wall jets at the same Reynolds numbers was used as the basis of comparison. The experiments were performed using a high resolution particle image velocimetry technique to perform velocity measurements at three Reynolds numbers based on the jet exit diameter and velocities of 5000, 10000 and 20000 and four jet offset height ratios of 0.5, 1.0, 2.0 and 4.0. The measurements were performed in the streamwise/wall-normal plane from 0 to 120 jet exit diameters and in the streamwise/lateral plane from 10 to 80 jet exit diameters. The velocity data were analyzed using (i) mean velocities and one-point statistics such as turbulence intensities, Reynolds stresses, triple velocity products and some terms in the transport equations for the turbulence kinetic energy, (ii) two-point velocity correlations to study how the turbulence quantities are correlated as well as the length scale and angle of inclination of the hairpin-like vortex structures, and (iii) proper orthogonal decomposition to examine the energy distribution and the role of the large scale structures in the turbulence intensities and Reynolds shear stresses. The decay of the maximum mean velocities and spread of the jet half widths became independent of Reynolds number much earlier in the generic wall jet than the offset jets. The flow development is delayed with increasing offset heights. The decay rate and wall-normal spread rate increased with the offset heights, whereas the lateral spread rate decreased with offset heights, which is consistent with previous studies. The two-point auto-correlations and the proper orthogonal decomposition results indicate the presence of more large scale structures in the outer and self-similar regions than in the inner and developing regions. The iso-contours of the streamwise autocorrelations in the inner regions were inclined at similar angles of β = 11.2 ± 0.6 degrees, which are in good agreement with reported values in boundary layer studies. The angles decrease with increasing distance from the wall.