Lectures will be held thrice a week for 50 mins. Recitations will meet twice a week for one hour each.
Poirier, D. R, and G. H. Geiger. Transport Phenomena in Materials Processing.
Optional: Bird, Stewart, and Lightfoot. Transport Phenomena.
Optional: Incropera, and DeWitt. Introduction to Heat and Mass Transfer.
There will be a math quiz, two tests and a final exam. Grades will be determined from exams and eight homework assignments as follows:
Problem Sets: 16%
MatQ Quiz: 10%
Test 1: 20%
Test 2: 20%
Final Exam: 34%
Diffusion
This section will use a phenomenon which you have already studied extensively to introduce two of the foundation methodologies of the course. The first is coupling conservation and constitutive equations to give closed-form (partial) differential equation(s) in one or more field variables. The second is dimensional analysis, which identifies the key dimensionless parameters in a given problem and allows us to quickly characterize all of its possible solutions using as few parameters as possible. The mass transfer Biot number will be used to illustrate this process.
Heat Conduction and Radiation
This section will take advantage of the mathematical similarity between diffusion and heat conduction to introduce you to a new phenomenon. Building on the principle of conservation of thermal energy, we will introduce new solutions to the (thermal) diffusion equation, define the heat transfer Biot number, and examine conduction in a solid with moving boundaries. Heat transfer by radiation will also be covered at some length, and coupled with conduction as a boundary condition.
Fluid Dynamics
This section will attempt to present Newtonian and non-Newtonian fluid dynamics using principles of conservation of mass and momentum in the same methodology as was used for diffusion and heat conduction. We will present the complete Navier-Stokes equations describing fluid flow, and use them to solve problems in which flow velocity varies in just one direction. The Reynolds number will be defined and related to the transition to turbulence. Boundary layer descriptions of flow near surfaces will be developed, and used to calculate the drag force on simple bodies moving with respect to a fluid. Turbulence will be described qualitatively, and modeling methods based on Reynolds stresses will be developed and related to effective turbulent viscosity and eddy length scales. Finally we will discuss overall mass and momentum balances on large control volumes.
Heat and Mass Transfer
This section will begin by applying the same large control volume methodology to thermal energy and species transport, and discuss batch/continuous reactor design in this context. It will then return to the Navier-Stokes equations, and their coupling with species diffusion and heat conduction to describe heat and mass transfer in fluids. We will calculate heat and mass transfer coeffcients under steady laminar and turbulent flow conditions in simple geometries, driven both by external forces and thermal/solutal buoyancy, and discuss application to materials process engineering. At least four new dimensionless parameters will be introduced to describe all of the coupling phenomena involved.