MEC 3120 - Fluid Mechanics

• Define a fluid’s properties and their relations to stress and strain rates
• Apply the fluid-static equation to determine pressure at a point
• Apply the Bernoulli equations to a variety of problems and assess when it can and cannot be used
• Apply the control volume forms of the mass, energy, and momentum equations to variety of problems
• Determine the equation for a streamline/streamfunction and the acceleration of fluid for a given flow field
• Compute the strain rate distribution and vorticity distribution for a given flow field
• Analyze simplified flows using Navier-Stokes equations
• Apply Buckingham Pi Theorem to determine dimensionless relationship for a fluid mechanics problem
• Recognize and use common dimensionless groups
• Apply the concepts of modeling and similitude to develop scaled model predictions
• Identify and explain properties of laminar and turbulent pipe flow  
• Calculate major and minor losses in pipe systems
• Determine system head-discharge equation for a pipe system
• Determine operating point and efficiency for a given pump and pipe system
• Explain characteristics of a boundary layer, including laminar, transitional, and turbulent regimes and boundary layer separation
• Calculate boundary layer parameters for flow past a flat plate
• Explain differences between pressure and viscous drag
• Calculate the estimated drag force for various objects

• Multivariable calculus
• Dynamics

• Fluid characteristics and properties
• Fluid statics - pressure distributions, manometry, hydrostatic forces on surfaces, buoyancy and stability
• Fluid dynamics - Bernoulli equation
• Fluid kinematics - velocity and acceleration fields, Reynolds transport theorem
• Control volume analysis - mass, momentum, angular momentum, and energy
• Differential analysis - strain rates, streamfunction, vorticity, continuity, and Navier-Stokes
• Dimensional analysis and similitude - Buckingham pi theorem, model scaling
• Viscous flow in pipes - laminar and turbulent flows, major and minor losses
• Turbomachinery - centrifugal pumps, dimensionless parameters and pump scaling laws
• External flows and boundary layers - boundary layer characteristics, drag and lift forces