FLUID MECHANICS FOR TRANSPORT PROCESSES
The course is aimed at introducing the student to the modeling of turbulent flows and the transport processes they induce
The objective of the teaching is to provide the basic knowledge of fluid mechanics with a particular attention to mass transport processes. Examples of practical problems are formulated and solved during the lessons.
AIMS AND LEARNING OUTCOMES
At the end of the course the student is expected to be able to determine the flow field in simple geometries when the flow regime is turbulent and use numerical codes to evaluate it in complex geometries
Basic knowledge of Physics, Calculus and Hydrodynamics
Turbulent flows: definition of average and oscillating quantities. Continuity equation for the average flow and Reynolds equation. Boussinesq's hypothesis. The vorticity and the vorticity equation. The kinetic energy of turbulence. The turbulent flow in a plane duct. The viscous sublayer and the logarithmic layer. Smooth wall and rough wall cases. Mechanical power theorem. Analysis of the local deformation. Inviscid flows. Bernuolli's theorem. The speed of sound and the constant density fluid scheme. Couette flow. Reversibility of flows at low Reynolds numbers. First law of thermodynamics. Poiseuille flow. Fick's first and second laws. Pure diffusion phenomena. Diffusive and convective terms in the laminar and turbulent cases. Circulation. The relationship between vorticity and circulation. Point vortices. Production of vorticity by the no-slip condition. The equation of the turbulent kinetic energy of turbulence. Turbulence models. The k-epsilon and the k-omega models. Equations in dimensionless form. Reynolds, Keulegan-Carpenter, Froude, Weber, Mach numbers. Evaluation of the order of magnitude of the thickness of the boundary layer in high Reynolds number flows. Flows of filtration. The total head and the piezometric head. The Darcy-Ritter law and continuity equation. Laplace's equation for the piezometric head. Prismatic pressure filter.
Notes of the course
Ricevimento: It is possible to fix an appointment with the teacher by sending an e-mail message to: email@example.com
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The exam is aimed at verifying the capability of the student to formulate simple problems of fluid mechanics when the flow regime is turbulent.