Introduction to Mathematical Concepts in Fluid Dynamics:

• Vector analysis and basic mathematical tools;
• physical characteristics of the fluid state and description of flow types;
• viscosity coefficients as they relate to laminar and turbulent flows;
• the Poiseuille equation

Kinematics and Dynamics of Fluid Motion:

• In-compressible and compressible fluids;
• Euler’s equations of motion;
• Bernoulli’s equation and its application;
• continuity equation;
• analyses of steady fluid flow, propeller, wind turbine, and wind velocity profile;
• Navier-Stokes equation and descriptions of boundary layer and turbulence;
• vertical transport of kinetic energy, mass, heat, moisture and pollutants.

Introduction to Atmospheric flows:

• Apparent forces (Coriolis and centrifugal) in rotating coordinate systems and their effects;
• geostrophic flows;
• qualitative introduction to Ekman layer;
• basic treatment of Rossby waves and Kelvin waves