Transport Phenomena Fundamentals



Carlos EscobedoDupuis Hall 533-3095


Mahsa Esmaeilzadeh

Course Description

The theory and mathematical framework of transport phenomena are introduced. Mass, energy and momentum balances are developed using the integral and differential methods of analysis. The tools used to formulate and solve the problems include representation of physical entities in vector form, multivariable functions and vector operations in 2D and 3D. Specific topics of Chemical Engineering interest include moments of a force, work done by a force, moments of inertia, control surfaces and control volumes and fluid kinematics (21/0/0/21/0). 

Objectives and Outcomes

This course aims at using the physical theory of transport phenomena to develop an understanding of the underlying mathematical principles. Mathematical tools, including vector calculus, partial derivatives and multiple integrals are implemented to deepen the understanding of physical systems.

Specific course learning outcomes (CLO) include:

CLO1 Calculate centre of mass, moment of inertia and volumes using multiple integrals, to determine hydrostatic forces on surfaces KB-Mathematics
KB-ES-ApplMath (a)
CLO2 Analyze transport phenomena fundamentals (forces in space, moment of a force, work done by a force) and fluid kinematics (displacement, velocity and acceleration, motion along a curve). Define streamlines, streaklines and pathlines.  

KB-Mathematics KB-ES-ApplMath (b)

CLO3 Apply the integral relations for a control volume and the Reynolds transport theorem to analyze fluid motion.  KB-ES-ApplMath (a)
KB-ES-TrPh (a)
CLO4 Analyze fluid motion using the differential analysis: Velocity and acceleration fields, linear and angular motion and deformation, differential form of the continuity equation (Cartesian and polar forms), stream function, potential function.   KB-ES-ApplMath (a)
KB-ES-TrPh (b) 
CLO5 Formulate equations for heat and momentum transport using partial derivatives, multivariable functions, differentials, the chain rule for multivariable functions, directional derivatives.  KB Mathematics
KB-ES-ApplMath (a)
CLO6 Development of mathematical skills: (i) the mathematical formulation of engineering transport problems and corresponding analytical solution strategies. (ii) Handling of differential operators in vector calculus and coordinate systems important for engineering applications.  KB Mathematics
KB-ES-ApplMath (a)

Relevance to the Program

The course introduces fundamental concepts that will be useful for the suite of courses known as “transport courses” (CHEE 223 – Fluid Mechanics, CHEE 330 – Heat and Mass Transfer, CHEE 412-Transport Phenomena in Chemical Engineering), which deal with the transport properties of matter. It lays the mathematical background and deepens student confidence in mathematical techniques and problem solving, needed throughout the curriculum. The course assumes working knowledge of 1st year mechanics and calculus. 

Course Structure and Activities

The course will be delivered in 6 weeks, through synchronous and asynchronous activities.

Asynchronous: The lectures will be delivered as videos which will include an explanation of concepts, and solutions to problems on specific topics. The videos and resources covered will be equivalent to 4 lecture hours per week.

Synchronous: There will be 2-4 tutorial hours per week (through MS Teams or Zoom). Tutorials will include interactive learning activities, including solving problem sets in small working groups, and interacting with TAs and the instructor. Lecture time hours will be allocated as tutorial or Q&A time.

Refer to Solus or OnQ for times and locations.


Custom courseware. Pearson – eText “Transport Phenomena Fundamentals”:  

All course lecture slides, assignments and tutorials will be posted on the OnQ site. If you are registered for the course, you can access this information by logging in at