Derive the equations of change from conservation principles for a one-dimensional system.Derive the equations of change from conservation principles for an arbitrary curvilinear coordinate system.
Apply the principles of dimensional analysis to the equations of change to generate terms containing dimensionless parameters such as Re, Pr, Sc, Gr, and Pe.For a given engineering problem, determine which terms in the equations of change are most significant in controlling the velocity, temperature, and concentration distributions.
Mathematically interpret transport equations that are expressed using vector and tensor notation.Manipulate and generate solutions to equations using vector and tensor notation
Solutions to the Equations of Change
Generate analytic solutions to the equations of change when there is one independent variable, including unidirectional flow of an incompressible fluid with combined convection and diffusion.Demonstrate the principles for solving the equations of change for an incompressible fluid with two independent variables (two spatial, or time and one spatial).
Solve simple interfacial transport problems with either heat, mass, or momentum transfer, including the use of Cf, Nu, and Sh.Solve interfacial transport problems with combined heat, mass, and momentum transfer; make "blowing factor" corrections to heat and mass transfer when the net-mass-transfer rate is high.
Estimate viscosity, thermal conductivity, and mutual diffusivity from simple theories such as corresponding states and Chapman-Enskog.Explain the molecular origins of observed transport properties and predict qualitatively the transport performance of newly encountered materials.
Qualitatively explain the origins and nature of turbulence.
Multicomponent Mass Transfer
Describe the rationale and use of the Stefan-Maxwell equation for multicomponent mass transfer.
Analyze the viability of proposed solutions to engineering problems in terms of transport processes.Apply knowledge of transport processes to generate new solutions to engineering problems.