Direct numerical simulation of square vortex flows
Material type: BookPublication details: Bangalore : Indian Institute of Science, 2023Description: xii, 71p.: ill. col. e-Thesis 10.37 MbDissertation: M.Tech (Res); 2023; Mechanical EngineeringSubject(s): DDC classification:- 620.106 GOY
Item type | Current library | Call number | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|
Thesis | JRD Tata Memorial Library | 620.106 GOY (Browse shelf(Opens below)) | Link to resource | Available | ET00231 |
Browsing JRD Tata Memorial Library shelves Close shelf browser (Hides shelf browser)
No cover image available | ||||||||
620.106 BOI Origin of turbulence in near-wall flows | 620.106 CEN Fluid mechanics fundamentals and applications | 620.106 DOU Fluid Mechanics | 620.106 GOY Direct numerical simulation of square vortex flows | 620.106 KUM Engineering fluid mechanics | 620.106 N941 Introduction to fluid mechanics | 620.106 P032 Fluid mechanics |
includes bibliographical references and index
M.Tech (Res); 2023; Mechanical Engineering
Atmospheric and oceanic flows are often modeled as two-dimensional due to their large
planar extents (∼ 1000 km) and small vertical extent (∼ 10 km). Most phenomena in
these systems are governed by the theory of two-dimensional turbulence. Rather than
truncating the third dimension, its effect is modeled using additional friction term in
the 2D Navier-Stokes equations. These equations are said to be applied to a class of
flows called quasi-two-dimensional (Q2D) flows, which are essentially three-dimensional
but almost planar flows. The approximation of Q2D-ness is widely applied for shallow
fluid layers in laboratory experiments.
We study Q2D flows generated by electromagnetically driving a shallow electrolyte
layer. The specific form of forcing mimics that of a chessboard, where the laminar
flow is composed of counter rotating square vortices arranged in a chessboard like
array. The forcing function is carefully chosen to mimic experimental measurements
of a laboratory realization, which is not purely sinusoidal as in the well-known Taylor
Green vortex flow. The steadily forced flow leads to a statistically stationary state
which is analyzed over a wide Reynolds number range. We analyze how the dynamics
and flow structures change with increasing Reynolds number. We illustrate methods
to discuss when and how the Q2D model ceases to accurately represent experiments.
There are no comments on this title.