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Showing 1 to 20 of 50 for “"Stream function"”.
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Design and analysis of internal flowfields using a two stream function formulation
Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1990.
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Mesoscale variability and mean flow interaction near the Gulf Stream as seen by satellite altimetry and numerical modelling
… the eddy field and the mean flow near the Gulf Stream is studied here using satellite altimeter measurements and an eddy resolving numerical modeL. The eddy vorticity flux in the quasigeostrophic framework is obtained from the stream function standard deviation and spatial correlation function …
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Mesoscale variability and mean flow interaction near the Gulf Stream as seen by satellite altimetry and numerical modelling
… the eddy field and the mean flow near the Gulf Stream is studied here using satellite altimeter measurements and an eddy resolving numerical model. The eddy vorticity flux in the quasigeostrophic framework is obtained from the stream function standard deviation and spatial correlation function …
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The Flow Regime of Function: Influence of flow changes on biogeochemical processes in streams
Streams are ecosystems organized by disturbance. One of the most frequent disturbances within a stream is elevated flow. Elevated flow can both stimulate ecosystem processes and impede them. Consequently, flow plays a critical role in shifting the dominant stream function between biological …
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Transient state analysis of separated flow around a sphere
… were simplified in terms of vorticity and stream function. The instantaneous acceleration of the falling sphere was calculated by considering the difference between the gravitational force and the drag force in a transient state. The governing partial differential equations were …
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Deformation and motion of a gas-liquid interface in a cylindrical capillary
… in a cylindrical capillary was studied. Stream function and vorticity equations were set up to describe a two dimensional flow in the liquid phase. Only momentum transfer is of interest; no heat transfer and mass transfer are involved. The driving force for flow is the pressure in gas …
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Efficient solutions of 2-D incompressible steady laminar separated flows
… block-line-Gauss-Seidel solver for the vorticity-stream function equations. Results are presented for the driven cavity flow problem using uniform and nonuniform grids and for the flow past a backward facing step in a channel.
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Applications of Hodograph Transformation to Hydrodynamic Problems Influenced by Gravitation
… strong influence of the gravitational field, the stream function can be solved in the hodograph plane through numerical calculations. The velocity function of free streamlines must be determined through iterations and it has been also found that this iterative process is rapidly convergent. …
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Numerical study of particle dynamics in a falling-ball viscometer
… scheme is widely used to solve the vorticity-stream function formulation of the Navier-Stokes equation in axisymmetric geometries. However, a severe timestep restriction for low Reynolds flow makes application of this method cumbersome for simulating the falling-ball viscometer. Through a …
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Analysis of a twin-spherical motor
… flux densities are found analytically by the stream function method. Subsequently, the flux density is found numerically by using a finite difference program, provides for the calculation of mutual inductances among phase windings at any position of the rotor. Equations representing these …
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A Two-Level Method For The Steady-State Quasigeostrophic Equation
… of large-scale ocean flows. We consider a pure stream function formulation and cite results for optimal error estimates for finding approximate solutions with the finite element method. We examine both the time dependent and steady-state versions of the equations. Numerical experiments verify …
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Applications of Lie Groups in Turbulence Modeling
… include the axial and transverse velocities, stream function, vorticity and transverse eddy viscosity.
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Clear Air Turbulence analysis using isentropic methods.
… situation indicates the importance of the jet stream structure in this case. The study reveals that analyzed areas of low Ri and high wind shear correspond very well to reports of CAT. The objective analysis performance is fair overall. It shows a distinctive weakness in the analysis of the …
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Observational study of the monsoonal dynamics and eddy shedding phenomena
… We use the potential vorticity and Montgomery stream-function fields to document the characteristics of eddy shedding events. In most cases, the daughter cell propagates westward. In the vertical, eddy shedding is confined to the upper troposphere, between 300 and 100 mb. The relationship …
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Computational and experimental study of trailing vortices
… equations written in terms of vorticity and stream function. Turbulent transport was modeled through the turbulent kinetic energy and the Prandtl-Kolmogorov hypothesis to give an eddy viscosity. The experimental results showed that the effects of Reynolds number are significant for vortex …
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A Numerical Study of Continuous Data Assimilation for the 2D-NS Equations Using Nodal Points
… nodal measurements of the vorticity field and stream function. The main difference between this new algorithm and previous continuous data assimilation methods is the inclusion of a relaxation parameter μ that controls the rate at which the approximate solution is forced toward the …
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Liquid extraction with single droplets-effect of chemical reaction
… model based on Hadamard's dispersed phase stream function was solved numerically to account for a solute diffusing into a droplet and undergoing a first order irreversible reaction with the drop medium for the case where the continuous phase resistance to solute transport is negligible ... …
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Investigation of Thermocapillary Flows Around Hemispherical Bubbles
… the non-linear convective terms. The elliptic stream-function was determined by a relaxation technique. The numerical diffusion effects were also investigated. No significant heat transfer improvement was evident, even for Marangoni number as high as 200,000. The mass transfer process at the …
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A numerical analysis of coupled solidification and natural convection within a two-dimensional rectangular cavity
… and heat transfer coefficient as well as stream function and temperature distributions are obtained. It is found that the steady state of the liquid is not affected by the presence of a moving interface during the transient period. Internal natural convection without phase change is then …
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Flow of viscous fluid between slowly rotating, eccentric cylinders
… the entire general solution was retained. The stream function which was obtained has been expressed in terms of the original co-ordinates which had not been done previously;In chapter IV is obtained the torque and thrust on a cylinder. The difference between the torques on the cylinders was …
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