4 resultados para Lagrangian Formulation

em Digital Commons at Florida International University


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The main objective of this work is to develop a quasi three-dimensional numerical model to simulate stony debris flows, considering a continuum fluid phase, composed by water and fine sediments, and a non-continuum phase including large particles, such as pebbles and boulders. Large particles are treated in a Lagrangian frame of reference using the Discrete Element Method, the fluid phase is based on the Eulerian approach, using the Finite Element Method to solve the depth-averaged Navier-Stokes equations in two horizontal dimensions. The particle’s equations of motion are in three dimensions. The model simulates particle-particle collisions and wall-particle collisions, taking into account that particles are immersed in a fluid. Bingham and Cross rheological models are used for the continuum phase. Both formulations provide very stable results, even in the range of very low shear rates. Bingham formulation is better able to simulate the stopping stage of the fluid when applied shear stresses are low. Results of numerical simulations have been compared with data from laboratory experiments on a flume-fan prototype. Results show that the model is capable of simulating the motion of big particles moving in the fluid flow, handling dense particulate flows and avoiding overlap among particles. An application to simulate debris flow events that occurred in Northern Venezuela in 1999 shows that the model could replicate the main boulder accumulation areas that were surveyed by the USGS. Uniqueness of this research is the integration of mud flow and stony debris movement in a single modeling tool that can be used for planning and management of debris flow prone areas.

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The main objective of this work is to develop a quasi three-dimensional numerical model to simulate stony debris flows, considering a continuum fluid phase, composed by water and fine sediments, and a non-continuum phase including large particles, such as pebbles and boulders. Large particles are treated in a Lagrangian frame of reference using the Discrete Element Method, the fluid phase is based on the Eulerian approach, using the Finite Element Method to solve the depth-averaged Navier–Stokes equations in two horizontal dimensions. The particle’s equations of motion are in three dimensions. The model simulates particle-particle collisions and wall-particle collisions, taking into account that particles are immersed in a fluid. Bingham and Cross rheological models are used for the continuum phase. Both formulations provide very stable results, even in the range of very low shear rates. Bingham formulation is better able to simulate the stopping stage of the fluid when applied shear stresses are low. Results of numerical simulations have been compared with data from laboratory experiments on a flume-fan prototype. Results show that the model is capable of simulating the motion of big particles moving in the fluid flow, handling dense particulate flows and avoiding overlap among particles. An application to simulate debris flow events that occurred in Northern Venezuela in 1999 shows that the model could replicate the main boulder accumulation areas that were surveyed by the USGS. Uniqueness of this research is the integration of mud flow and stony debris movement in a single modeling tool that can be used for planning and management of debris flow prone areas.

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Myocardial cell transplantation can compensate for the loss of necrotic cardiomyocytes. The objective of this research study was to reformulate the hydrogel with concentrations of growth factors, such as Leukemia Inhibitory Factor (LIF), Hepatocyte Growth Factor (HGF), and Interleukin-6 (IL-6). A controlled delivery system of PEO-PPO-PEO was formulated for release of a single growth factor and of multiple growth factors. Cytotoxicity and proliferation assay for single growth factors starting with 4000 skeletal myoblasts yielded their highest proliferation at 4 days with HGF (25,500 cells) and LIF (42,000 cells), while IL-6 (115,000 cells) generated its highest proliferation at 5 days. Combination of LIF and IL-6 resulted in highest proliferation at day 2 (220,000 cells), HGF and LIF (108,000 cells), and HGF and IL-6 (80,000 cells) both at 5 days. Viability at 37°C was maintained during the five days at 98-99%. The formulation was successful in myotube formation while maintaining a high purity of myoblasts in culture. The new formulation induced controlled release of growth factors and skeletal myoblasts delivery under favorable conditions while increasing the proliferation of myoblasts.