This module covers basic introduction to programming preferably python programming, then briefly review numerical solutions of the mathematical equations such as ODEs and PDEs in computational physics. It later goes to covering the computational problems in physics and their solutions. Finally one covers demonstration of computational physics packge such as fortran, maple, Matlab and sage math. The module has 10 credits.
Introduction: thermodynamic and molecular-kinetic methods for studying thermal properties of matter; definitions and units of thermodynamics (substances, systems–fixed mass and fixed space, pressure, state of a system, process).
•Temperature: the zero law of thermodynamics; the constant-volume gas thermometer, the temperature scales, and thermometers.
•Thermal expansion of solids and liquids
•Heat: the mechanical equivalent of heat; specific heat; calorimetry; heat transfer modes.
•Macroscopic and microscopic descriptions of an ideal gas: mass and size of molecules; bases of molecular-kinetic theory; equation of state of an ideal gas; constant-volume, constant-temperature and constant-pressure processes, a molecular model for the pressure of an ideal gas; mean energy of molecules; the number of degrees of freedom; molecular interpretation of temperature; the mean velocity of the molecules; the root-mean-square (rms) speed; the most probable velocity; the Maxwell distribution.
This course provides a fundamental understanding of fluid mechanics. Starting from the definition of a fluid, theory will be build up in order to describe, characterize, analyze and understand the behavior of fluids (gases, liquids) in motion or static. Mechanics of fluids is a fundamental subject and one that finds many applications in meteorology and in aeronautics. In engineering several industrial and technological applications are found from ship design to pipe modeling.
The following topics will be covered:
Introduction: Basic concepts of fluid mechanics Fundamental term; Physical value; Fluids and their properties; Forces inside fluid.
Fluid Statistics: Pascal’s law; Euler’s equation of fluid statics; Measurement of pressure; Relative statics of fluid-constant acceleration, rotation; Forces of hydrostatic pressure; Buoyancy; Flotation; Stability. Surface tension' Capillary Action and Cavitation.
Fluid Kinematics: Euler and Lagrangian specification of fluid flow; Streamlines; Pathlines; Stream surface; Stream tube; Mass/volume flow; Control volume.
Fluid Dynamics: Hydrodynamic limit - deriving fluid equations; Mass, momentum and energy conservation; Navier-Stokes’s equations; Euler’s and Bernoulli’s equations for Ideal fluid flow and applications; Streamfunctions for incompressible flows and exact solutions; Potential flow, irrotational flow and velocity potential formulation; Vorticity dynamics; Real fluid flow: Viscosity. Determination of losses; Reynolds experiment; Laminar and turbulent flow; Boundary layer and viscosity; Velocity profile; Losses in pipes; Frictional losses; Moody’s diagram; Local losses; Coefficients of resistance; Introduction to multi-scale turbulence. Transport in turbulent flows.