Results for Introductory Fluids Engineering

The course will begin with a brief recap of low-Reynolds number hydrodynamics and the analytical foundations for the study of pair-level particle interactions in a Newtonian solvent. Extension to many-body interactions will be covered in detail, with an introductory overview of computational methods. Brownian motion, thermodynamic forces, and other interparticle forces will be discussed, and various approaches for theoretical modeling will be covered, including Fokker-Planck / Smoluchowski analysis and Langevin analysis. Theoretical and computational modeling of material properties via averaging techniques will be studied, in the context of micromechanical and continuum models. Landmark results in the microrheology and rheology of complex fluids will be covered, including sedimentation, non-Newtonian rheology (including shear thinning and thickening; viscoelasticity and memory behaviors; yield-stress behavior; glassy aging; diffusion; normal stress differences).

Elements of fluid mechanics as applied to engineering problems. Equations of motion for incompressible flow. Hydrostatics. Control volume laws for mass, momentum, and energy. Bernoulli equation. Differential equations of fluid flow. Euler equations. Dimensional analysis and similarity. Internal flows. Introductory external boundary layer flows. Introductory lift and drag. ENGR14 and ME30 required.