%0 Thesis %1 jawarneh2004development %A Jawarneh, Ali %C Montreal %D 2004 %K 76b10-jets-and-cavities 76b47-vortex-flows %T The flow development in jet-driven vortex chambers %X This paper presents a cohesive study of flow in a jet-driven vortex chamber for a wide range of Reynolds numbers, contraction ratios, inlet angles, areas, and aspect ratios. Dimensional analysis furnishes the general functional relationships between the fundamental dimensionless quantities. Application of the integral equations of continuity and energy over the control volume, along with the minimum-pressure-drop or maximum-flow-rate postulate, provide the required analytical means to relate the predominant nondimensional parameters such as the chamber geometry, core size, pressure drop, Reynolds number, and viscous losses. The theoretical results successfully capture most of the salient properties of the flow. A parametric examination explores how the pressure coefficient and the core size vary with the different dimensionless properties. The observations show the pressure drop to decrease with the length. At first this appears to be counterintuitive since one habitually expects the pressure drop to be larger for longer pipes. A closer consideration, however, reveals that in addition to the radial-axial plane flow there is also a substantial centrifugal force, which decays with the length, thus shaping the development of the overall flowfield. Last, the current theory confirms that the previous published models are only applicable for high Reynolds numbers where the inertia dominates the viscous forces.

@phdthesis{jawarneh2004development, abstract = {This paper presents a cohesive study of flow in a jet-driven vortex chamber for a wide range of Reynolds numbers, contraction ratios, inlet angles, areas, and aspect ratios. Dimensional analysis furnishes the general functional relationships between the fundamental dimensionless quantities. Application of the integral equations of continuity and energy over the control volume, along with the minimum-pressure-drop or maximum-flow-rate postulate, provide the required analytical means to relate the predominant nondimensional parameters such as the chamber geometry, core size, pressure drop, Reynolds number, and viscous losses. The theoretical results successfully capture most of the salient properties of the flow. A parametric examination explores how the pressure coefficient and the core size vary with the different dimensionless properties. The observations show the pressure drop to decrease with the length. At first this appears to be counterintuitive since one habitually expects the pressure drop to be larger for longer pipes. A closer consideration, however, reveals that in addition to the radial-axial plane flow there is also a substantial centrifugal force, which decays with the length, thus shaping the development of the overall flowfield. Last, the current theory confirms that the previous published models are only applicable for high Reynolds numbers where the inertia dominates the viscous forces.}, added-at = {2023-08-11T06:49:36.000+0200}, address = {Montreal}, author = {Jawarneh, Ali}, biburl = {https://www.bibsonomy.org/bibtex/27cd481f8cd4bd3e86a966b1f4ae4d22b/gdmcbain}, interhash = {1cb9057945b08bb7e7a8658cb955a3f2}, intrahash = {7cd481f8cd4bd3e86a966b1f4ae4d22b}, keywords = {76b10-jets-and-cavities 76b47-vortex-flows}, month = {july}, school = {Department of Mechanical and Industrial Engineering, Concordia University}, timestamp = {2023-08-11T06:49:36.000+0200}, title = {The flow development in jet-driven vortex chambers}, type = {PhD thesis}, year = 2004 }