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A Simplified Molecular Model for Studying Vibration-dissociation Coupling in Fluid Flows
A simplified mathematical model is derived that is useful for studying the effects of vibration-dissociation coupling in fluid flows. The derivation is based on energy-moment procedure for simplifying the master equations. To obtain the model equations it is assumed that the vibrational energy can be approximated by the introduction of two vibrational temperatures. The effects of molecular anharmonicity are also accounted for in an approximate manner. The parameters contained within the equations are evaluated by making comparisons with experimental data. It is shown that the model contains the minimum required structure allowing favorable agreement with existing experimental data. Numerical...
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A Century of Fluid Mechanics in The Netherlands
In October 1918, Jan Burgers, 23 years old, started as professor of ‘aerodynamics, hydrodynamics, and their applications’ at the Technical University in Delft. This can be regarded as the birth of fluid mechanics in the Netherlands, not only as an academic discipline but also as the start of the serious study of flow phenomena in engineering environments. During the period of Burgers’ tenure in Delft (till 1955) three Dutch institutes were founded which to this day remain important centres of research in various fields of fluid mechanics: aerospace engineering, hydraulics, and naval engineering. Burgers and others developed mathematical, experimental, and numerical approaches of a broa...
Numerical Solution of the Equations for Compressible Laminar, Transitional, and Turbulent Boundary Layers and Comparisons with Experimental Data
A numerical method for solving the equations for laminar, transitional, and turbulent compressible boundary layers for either planar or axisymmetric flows is presented. The fully developed turbulent region is treated by replacing the Reynolds stress terms with an eddy viscosity model. The mean properties of the transitional boundary layer are calculated by multiplying the eddy viscosity by an intermittency function based on the statistical production and growth of the turbulent spots. A specifiable turbulent Prandtl number relates the turbulent flux of heat to the eddy viscosity. A three-point implicit finite-difference scheme is used to solve the system of equations. The momentum and energy equations are solved simultaneously without iteration. Numerous test cases are compared with experimental data for supersonic and hypersonic flows; these cases include flows with both favorable and mildly unfavorable pressure gradient histories, mass flux at the wall, and traverse curvature.
