Browsing Physics (PHY) by Advisor "Pandit, Rahul"
Now showing items 1-20 of 24
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The Cahn-Hilliard-Navier-Stokes Framework for Multiphase Fluid Flows: Laminar, Turbulent, and Active
The Cahn-Hilliard-Navier-Stokes (CHNS) framework has found extensive applications, across diverse length and time scales, for multi-phase flows. In this thesis, we demonstrate that this framework offers a robust theoretical ... -
Cahn-Hilliard-Navier-Stokes Investigations of Binary-Fluid Turbulence and Droplet Dynamics
(2017-12-10)The study of finite-sized, deformable droplets adverted by turbulent flows is an active area of research. It spans many streams of sciences and engineering, which include chemical engineering, fluid mechanics, statistical ... -
Direct Numerical Simulations of Fluid Turbulence : (A) Statistical Properties of Tracer And Inertial Particles (B) Cauchy-Lagrange Studies of The Three Dimensional Euler Equation
(2017-11-09)The studies of particles advected by tubulent flows is an active area of research across many streams of sciences and engineering, which include astrophysics, fluid mechanics, statistical physics, nonlinear dynamics, and ... -
Dynamics of Spiral and Scroll Waves in a Mathematical Model for Human-Ventricular Tissue : The Effects of Fibroblasts, Early-after depolarization, and Heterogeneities
(2018-07-09)This thesis is devoted to the study of the dynamics of spiral and scroll waves in a mathematical model for cardiac tissue. We study the effects of the presence of heterogeneities on electrical-wave dynamics. The heterogeneities ... -
Electrical waves in mathematical models of human-ventricular tissue: effects of different modeling formalisms, electrophysiological factors, and heterogeneities on ventricular arrhythmias and the termination of these arrhythmias via a deep-learning approach
Sudden cardiac death (SCD) remains one of the significant causes of mortality in industrialized and developing countries. SCD is often caused by life-threatening cardiac arrhythmias like ventricular tachycardia and ... -
Explorations of singularities in some hydrodynamical partial differential equations
The global regularity problem for the 3D Euler equations remains unsolved. The presence of finite-time singularities (FTS) can signal the breakdown of the PDE as a physical model for fluid flow; it is also conjectured to ... -
Lagrangian dispersion statistics of compressible turbulence
Turbulent transport of mass, momentum and energy are ubiquitous across physical processes spanning a vast expanse of scales, from the formation of clouds, the transport of pollutants and nutrients across oceans, and the ... -
Light Scattering Investigations Near The Critical Point In Some Solvophobic Systems And The Design And Analysis Of A Microkelvin Thermostat For Critical Phenomena Studies
(Indian Institute of Science, 2007-05-21)This thesis reports light-scattering experiments and visual investigations close to the critical point, in the solvophobic systems, 3-methylpyridine (3MP) + heavy water (D2O) + sodium bromide (NaBr) and methyl ethyl ketone ... -
Numerical Studies of Problems in Turbulence : 1) Fluid Films with Polymer Additives; 2) Fluid Films with Inertial and Elliptical Particles; 3) Scaled Vorticity Moments in Three- and Two-dimensional Turbulence
(2017-11-30)In this thesis we study a variety of problems in fluid turbulence, principally in two dimensions. A summary of the main results of our studies is given below; we indicate the Chapters in which we present these. In Chapter ... -
Numerical Studies of Spiral- and Scroll-wave Dynamics in Cardiac Tissue: (1) Spiral- and Scroll-Wave Turbulence; (2) Spiral- and Scroll-Wave dynamics in Anatomically and Physiologically realistic Mathematical Models for Canine and Human Ventricular Tissue
A summary of the main results of our studies is given below. In most of our work, we use three mathematical models for cardiac myocytes, namely, the Panfilov model, the Aliev-Panfilov model, and the Hund-Rudy-Dynamic ... -
Particles and Fields in Active Turbulence
I have extended various facets of modern turbulence theory to hydrodynamic models of dense bacterial suspensions, which show turbule= nt-like patterns, dubbed active turbulence. By using direct numerical simulations (DNSs) ... -
Particles and Fields in Partial-differential-equation Models for fluid and Superfluid Turbulence
We have shown that uniformly rotating vortex-containing gravitationally-bound solutions of the GPPE can be generated by starting the evolution from initial data obtained by integrating to convergence the (imaginary-time) ... -
Particles and Fields in Superfluid Turbulence : Numerical and Theoretical Studies
(2017-12-16)In this thesis we study a variety of problems in superfluid turbulence, princi-pally in two dimensions. A summary of the main results of our studies is given below; we indicate the Chapters in which we present these. In ... -
Phases, Transitions, Patterns, And Excitations In Generalized Bose-Hubbard Models
(2016-09-12)This thesis covers most of my work in the field of ultracold atoms loaded in optical lattices. This thesis can be divided into five different parts. In Chapter 1, after a brief introduction to the field of optical lattices ... -
The Role of Physiology, Geometry and Mechanics in Some Cardiac Arrhythmias
Chapter 1: We start with a brief introduction about the history and modern perspective, of cardiac literature, some description of the models we use for the electrophysiology simulations. Chapter 2 Focal arrhythmias, ... -
Some Studies of Statistical Properties of Turbulence in Plasmas and Fluids
(2017-12-12)Turbulence is ubiquitous in the flows of fluids and plasmas. This thesis is devoted to studies of the statistical properties of turbulence in the three-dimensional (3D) Hall magnetohydrodynamic (Hall-MHD) equations, the ... -
Spiral- And Scroll- Wave Dynamics In Ironically And Anatomically Realistic Mathematical Models For Mammalian Ventricular Tissue
(2017-05-24)Cardiac arrhythmias, such as ventricular tachycardia (VT) and ventricular fibrillation (VF), are among the leading causes of death in the industrialized world. There is growing consensus that these arrhythmias are associated ... -
Spiral-Wave Dynamics in Ionically Realistic Mathematical Models for Human Ventricular Tissue
(2018-04-18)There is a growing consensus that life-threatening cardiac arrhythmias like ven- tricular tachycardia (VT) or ventricular fibrillation (VF) arise because of the formation of spiral waves of electrical activation in cardiac ... -
Studies of Models of Superfluids from Nanometres to Astrophysical Scales
In this thesis, we study various models of superfluids applicable across a broad range of systems, from laboratory flows to astrophysical scales. At zero temperature, we utilize the Gross-Pitaevskii model of superfluid 4He ...