http://hdl.handle.net/1957/14319 2013-05-16T10:44:12Z 2013-05-16T10:44:12Z Cihonski, Andrew J. Finn, Justin R. Apte, Sourabh V. http://hdl.handle.net/1957/38586 2013-05-15T16:37:19Z 2013-03-13T00:00:00Z

Volume displacement effects during bubble entrainment in a travelling vortex ring Cihonski, Andrew J.; Finn, Justin R.; Apte, Sourabh V. When a few bubbles are entrained in a travelling vortex ring, it has been shown that, even at extremely low volume loadings, their presence can significantly affect the structure of the vortex core (Sridhar & Katz, J. Fluid Mech., vol. 397, 1999, pp. 171-202). A typical Euler-Lagrange point-particle model with two-way coupling for this dilute system, wherein the bubbles are assumed subgrid and momentum point sources are used to model their effect on the flow, is shown to be unable to capture accurately the experimental trends of bubble settling location, bubble escape and vortex distortion for a range of bubble parameters and vortex strengths. The bubbles experience significant amounts of drag, lift, added mass, pressure and gravity forces. However, these forces are in balance with each other as the bubbles reach a mean settling location away from the vortex core. The reaction force on the fluid due to the net summation of these forces alone is thus very small and is unable to affect the vortex core. By accounting for fluid volume displacement due to bubble motion, experimental trends on vortex distortion and bubble settling location are captured accurately. The fluid displacement effects are studied by computing various contributions to an effective volume displacement force and are found to be important even at low volume loadings. As the bubble size and hence bubble Reynolds number increase, the bubbles settle further away from the vortex centre and have strong potential for vortex distortion. The net volume displacement force depends on the radial pressure force, the radial settling location of the bubble, as well as the vortex Reynolds number. The resultant of the volume displacement force is found to be roughly at 45 degrees with the vortex travel direction, resulting in wakes directed towards the vortex centre. Finally, a simple modification to the standard point-particle two-way coupling approach is developed wherein the interphase reaction source terms are consistently altered to account for the fluid displacement effects and reactions due to bubble accelerations. This is the publisher’s final pdf. The published article is copyrighted by Cambridge University Press and can be found at: http://www.cambridge.org/.

2013-03-13T00:00:00Z Mehravaran, Yasaman http://hdl.handle.net/1957/38553 2013-05-13T16:57:14Z 2013-04-17T00:00:00Z

Hybrid Flowshop Scheduling with Dual Resources in a Supply Chain; Hybrid flowshop scheduling with dual resources in a supply chain Mehravaran, Yasaman This dissertation addresses a hybrid-flow shop scheduling problem with dual resource constraints in a supply chain. Most of the traditional scheduling problems deal with machine as the only resource. However, other resources such as labor is not only required for processing jobs but are often constrained. Considering the second resource (labor) makes the scheduling problems more realistic and practical to implement in industries. In this research labor has different skill levels and the skill level required to perform the setup could be different from that needed to perform the run. The setup time is sequence-dependent, and job release times and machine availability times are dynamic. Also machine skipping is allowed. In tactical supply chain decisions such as scheduling, the goal is to minimize the cost of producer. However, when looking at the whole network, minimizing the cost of the producer alone may not lead to minimizing the cost of the whole supply chain. In fact the coordination between the producer and other entities in the network can minimize the cost. In this dissertation coordination between producer and customers is considered in order to make effective scheduling decisions. The goal of this research is to minimize the work-in-process inventory for the producer and maximize customers' service level to maintain producer-customers coordination. A linear mixed-integer mathematical programming model is proposed and CPLEX solver is used to find solutions for generated example problems with branch-and-bound technique. As the problem is NP-hard in the strong sense three different meta-search heuristic algorithms based on tabu search are developed in order to quickly solve the scheduling problems. A total of 243 examples were generated in small, medium and large size problems. Search algorithms performance in small size problems can be assessed by comparing them with the optimal solution from branch-and-bound method. However, in medium and large size problems, branch-and-bound method cannot find the optimal solution and therefore for assessing the performance of search algorithms three different lower bounding methods are proposed. The first method is based on Logic-Based Benders Decomposition and the second and third methods are two different variations of iterative selective linear programming (LP) relaxation called fractional LP relaxation and positive LP relaxation. An experimental analysis based on a nested-factorial design with blocking is developed in order to identify statistically significant differences between the effectiveness and efficiency of the lower bounding methods and search algorithms. The results showed that the proposed search algorithms and lower bounding methods are very effective and efficient. On average the developed lower bounding methods tighten the lower bound found by branch-and-bound by 11.93%. The quality of search algorithms is the same as the upper bound found by branch-and-bound. However, the search algorithms are on average 3.8 times faster than the branch-and-bound method. Graduation date: 2013

2013-04-17T00:00:00Z Vejdani Noghreiyan, Hamid Reza http://hdl.handle.net/1957/38476 2013-05-06T23:31:00Z 2013-05-02T00:00:00Z

Control of spring-mass running robots Vejdani Noghreiyan, Hamid Reza We seek the control strategies that are applicable on legged robots and control them to run in real world as robust and efficient as animals. To achieve this goal, we need to understand the principles of legged locomotion and the control policies that animals use during running. In this study we tried to understand these principles by investigating birds' running experiments, and hypothesized their possible control policies that are important for real machines. We proposed two types of flight phase control techniques inspired from ground running birds for spring-mass running robots and derived mathematical formulas for the optimum design of the passive elements in these robots. For the control policies, we focused on flight phase because adjusting the leg parameters during the flight is very energy efficient and also the overall behavior of the system is very sensitive to the landing conditions that are determined during the flight phase of running. We first considered the change of the leg angle as the only control parameter during the flight phase. In the proposed control policies, three objective functions i) leg peak force, ii) axial impulse and iii) leg actuator work, all from passive stance phase, were considered to be regulated during running. It turned out that with a simple swing leg policy (constant leg angular acceleration), all the three objective functions can be nearly regulated at the same time, meaning that both goals of damage avoidance and energy efficiency can be fulfilled at once. After that, we investigated the effect of the leg length in addition to the leg angle on the dynamics of the spring-mass running robots. This control policy retains the steady state running by providing the equilibrium gait for each stride. The leg length and leg angle together make it possible for the robot to retain the steady state in the presence of a disturbance while limit the increase of the leg force which if increases may break the leg. In all of the control policies, the robot is purely passive during the stance phase and therefore the dynamics of the system comes from the passive dynamics of the system. Finally, we investigated the effect of the passive dynamics elements on the initiation of running. We derived mathematical formulas that determine the required stiffness and damping for the actuator to achieve the maximum possible performance given the physical limitations of the system. Graduation date: 2013

2013-05-02T00:00:00Z Vergara, Hector A. Root, Sarah http://hdl.handle.net/1957/38433 2013-05-02T20:36:02Z 2013-08-01T00:00:00Z

Mixed fleet dispatching in truckload relay network design optimization Vergara, Hector A.; Root, Sarah We propose a mathematical formulation for strategic relay network design and dispatching method selection for full truckload transportation. The proposed model minimizes total transportation and installation costs of a mixed fleet dispatching system combining relay network and point-to-point dispatching. Operational constraints such as maximum driver tour length and load circuity are considered within the variable definition using predefined templates to generate feasible routes. High quality solutions for largely-sized problem instances are obtained in reasonable times. Computational results are analyzed to develop insights about the mixed fleet dispatching system and quantify its benefits over relay network-only and point-to-point dispatching. This is the author's version of a work that was accepted for publication in Transportation Research Part E. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Transportation Research Part E, 54 (2013), pp. 32-49 DOI information: 10.1016/j.tre.2013.04.001

2013-08-01T00:00:00Z