Students are introduced to the key concepts and equations used to describe fluids. Starting with a description of rarefied fluids using kinetic theory, simple gas transport properties are derived. Euler's and Bernoulli's equations are examined under static and steady flow conditions. Students derive and examine the Navier-Stokes equation and the equation of continuity under conditions of, steady flow and one-dimensional approximation. Equations to describe the flow of viscous fluids, flow in pipes, flow over immersed bodies, and open channel flow are also introduced. Finally, students explore properties of water waves such as the dispersion relation, capillary and gravity waves. Prerequisite: PHYS 2200 Corequisite: MATH 2240
Students are introduced to the key concepts and equations used to describe fluids. Starting with a description of rarefied fluids using kinetic theory, simple gas transport properties are derived. Euler's and Bernoulli's equations are examined under static and steady flow conditions. Students derive and examine the Navier-Stokes equation and the equation of continuity under conditions of, steady flow and one-dimensional approximation. Equations to describe the flow of viscous fluids, flow in pipes, flow over immersed bodies, and open channel flow are also introduced. Finally, students explore properties of water waves such as the dispersion relation, capillary and gravity waves. Prerequisite: PHYS 2200 Corequisite: MATH 2240