The mathematical analysis of the diffusion of heat, mass, or
momentum is incorporated into *constitutive laws* that
relate this diffusion to easily measurable quantities (like
temperature, velocity (pressure), and concentration).

- Use a resistor analogy to solve for heat flows [15.5, 17.1]
- Calculate the thermal resistance and magnitude of conductive heat flow/flux through a planar wall
- Calculate the thermal resistance and magnitude of conductive heat flow/flux through multiple planar walls
- Calculate the thermal resistance and magnitude of conductive heat flow/flux through a cylindrical shell
- Calculate the thermal resistance and magnitude of conductive heat flow/flux through a spherical shell
- Calculate the resistance and magnitude of heat flow in systems in which multiple modes of heat transfer are present
- Extend the resistor analogy to non-one-dimensional problems using shape factors [Ch 17.4]
- Determine the heat flow through these solids from their temperature profiles
- Use film theory and other correlations to obtain h [19.5]

- Explain and calculate viscous stresses [7.1, 7.2, 7.4]
- Calculate viscous stresses/forces from velocity distributions
- Identify Newtonian and non-Newtonian behavior from stress versus strain curves

- Solve diffusive mass flows problems
- Explain the difference between the total flux and the diffusive flux [24.1]
- Calculate the magnitude of diffusive mass flow/flux through a planar film in equimolar counter-diffusion [25.4]
- Calculate the magnitude of diffusive mass flow/flux through a
planar
*stagnant*film [26.1] - Calculate the magnitude of diffusive mass flow/flux for systems with non-zero bulk flow
- Calculate the magnitude of diffusive mass flow/flux through a cylindrical and spherical shells
- Use film theory and other correlations to obtain kc [28.6]
- Use the two-resistance model to perform fluid-fluid mass transfer calculations [29.1-29.3]
- Calculate mass/molar flows/fluxes from concentration profiles

A *microscopic* or *continuum* description of
transport requires that we examine "diffusion" of our conserved
quantities at the molecular level.

- Estimate transport properties from molecular calculations
- Explain the molecular origins of fluid viscosity and shear stresses.
- Estimate fluid viscosities [7.3]
- Explain the molecular origins of thermal and mass diffusion/conduction [15.2, 24.2]
- Estimate thermal and mass diffusivities/conductivities [15.2, 24.2]