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Full-Text Articles in Mechanical Engineering
Multidimensional Compressible Framework For Modeling Biglobal Stability In Rocket Motors, Michel Henry Akiki
Multidimensional Compressible Framework For Modeling Biglobal Stability In Rocket Motors, Michel Henry Akiki
Doctoral Dissertations
Rocket motor stability analysis has historically been focused on two fundamental theories: the acoustic and the hydrodynamic. While the acoustic part examines the system at resonant states, the hydrodynamic component focuses on the fluid-wall interactions and the vortex shedding mechanisms which are responsible for exciting the system. Traditionally, the two concepts are studied independently and their results are then superposed for a more complete solution. In this study, we analyze the problem from a hydrodynamic standpoint and extend it to include compressibility. This is realized by reducing the linearized Navier-Stokes and energy equations to their biglobal form assuming a two-dimensional …
The Biglobal Instability Of The Bidirectional Vortex, Joshua Will Batterson
The Biglobal Instability Of The Bidirectional Vortex, Joshua Will Batterson
Doctoral Dissertations
State of the art research in hydrodynamic stability analysis has moved from classic one-dimensional methods such as the local nonparallel approach and the parabolized stability equations to two-dimensional, biglobal, methods. The paradigm shift toward two dimensional techniques with the ability to accommodate fully three-dimensional base flows is a necessary step toward modeling complex, multidimensional flowfields in modern propulsive applications. Here, we employ a two-dimensional spatial waveform with sinusoidal temporal dependence to reduce the three-dimensional linearized Navier-Stokes equations to their biglobal form. Addressing hydrodynamic stability in this way circumvents the restrictive parallel-flow assumption and admits boundary conditions in the streamwise direction. …