MSE 34000 Transport Phenomena

Credits and Contact Hours: 3 credits. Weekly Schedule for 15 weeks: three 50 minute lectures.

Instructors or Course Coordinators: R. H. Spitzer, M. J. M. Krane and C. Martinez.

Textbooks: Textbook:  F.P. Incropera , D.P. DeWitt, et. al. , "Fundamentals of Heat and Mass Transfer," 7th ed, Wiley, 2007 (any recent edition OK). Reference: R.W. Fox and A.T. McDonald , “Introduction to Fluid Mechanics,” Wiley (any recent edition OK).

Specific Course Information

1. Catalog Description: Mechanism and rates of heat, mass, and momentum transfer. Macroscopic and differential energy, mass, and momentum balances. Application to systems with phase transformations and chemical reaction.
2. Prerequisites: MA 26600.
3. Course Status: MSE 34000 is a required course.

Specific Goals for the Course

1. All Students

A. Identify and describe mechanisms of transport phenomena present in given processes. Examples:

• Three modes of heat transfer (conduction, convection, radiation).
• Mass diffusion.
• Newtonian and non-Newtonian flows.
• Forced and natural convection.
• Boiling, solid-liquid and solid-solid phase changes.

B. Construct simple models relating rate of conservation of heat, species, or momentum to temperature, composition, and pressure fields. Relate terms in the model equations to the physical phenomena they represent.  Examples:

• Rate equations.
• Thermal resistance networks.
• Heat transfer coefficients from correlations.
• Flow rates and pressure drops in internal flow configurations using mechanical energy balance (Bernoulli equation).
• Steady-state and transient heat and mass transfer in one dimension.
• Reductions of full conservation equations to approximate forms.

C. Ability to revisit and apply mathematics from prerequisites as a tool to solve models in 1.B.  Examples:

• Simple differential equations.
• Resistance networks.

2. Most Students

A. Develop and solve “non-trivial” models of transport phenomena.  Examples:

• Solidification and solid-solid phase change.
• Modified Bernoulli equation.
• Convection heat transfer in internal flows.
• Two surface grey body radiation exchange, including calculation of view factors.

B. Ability to apply more elaborate modeling techniques to derive and obtain solutions from conservation principles, making appropriate connections between equations/calculations and physical phenomena. Examples:

• Derivation of conservation laws (energy equation, Fick’s 2nd Law, Navier-Stokes equations) using control volume analysis.
• Calculation of Newtonian and non-Newtonian flow fields.
• Integral analysis.
• Scaling analysis.

3. Some Students

A. Ability to identify, develop and solve appropriate models to more complicated physical phenomena. Examples:

• Differences between laminar and turbulent flows.
• Analysis of momentum and thermal boundary layers using scaling and integral analysis.
• Multiple surface grey-body radiation exchange.

Relation of Course to Student Outcomes:

(MSE-1, ABET-a) an ability to apply knowledge of mathematics, science, and engineering to problems in materials engineering.

(MSE-5, ABET-e) an ability to identify, formulate, and solve engineering problems, particularly in the context of materials selection and design.

Topics Covered: Balance Equations, Solutions for Time and Position Dependence of the Transported Property, Concept of Rate Controlling Step for Transport Processes, Steady-State Conduction (Diffusion) Control (Bi>100), Non-Steady-State Conduction (Diffusion) Control (Bi>100), Non-Steady-State Convection Control (Bi<0.1), Convection, Solid-State Diffusion, Diffusion in Fluids, Convection: Internal Flow, Thermal Energy Balance for Axial Systems, Mass Balance for Axial Systems, Fluid Dynamics, Thermal Radiation.