Summary:

This course discusses fundamental concepts of fluid mechanics with applications in chemical engineering science and design, and simultaneously illustrates analytical and numerical methods for solving a broad range of problems. Matlab programming tutorials are integrated in the lecture and discussion sessions.

Topics:

The course covers the following main topics:
  1. From molecular motions to continuum theory
  2. Flow kinematics
  3. Flow computation based on kinematics
  4. Forces and stresses
  5. Hydrostatics
  6. The equation of motion and the Reynolds number
  7. Channel, tube, and film flows

Instructor:

Professor C Pozrikidis

Teaching Assistants:

Yenhan Lin ( ylin@ecs.umass.edu )

Arnout Boelens ( aboelens@engin.umass.edu )

Lectures:

Tuesdays and Thursdays, 2:30-3:45, ISB 221 (Session ID 31998)

Lab session:

Wednesdays, 2:30-3:20, ISB 221 (Session ID 31999)

Office hours:

C. Pozrikidis: after each lecture and by appointment

Yenhan Lin: Fridays 11:00-12:00 ( ylin@ecs.umass.edu )

Arnout Boelens: Fridays 1:00-2:00 ( aboelens@engin.umass.edu )

Required textbook:

Pozrikidis, C., Fluid Dynamics: Theory, Computation, and Numerical Simulation.
Second Edition, Springer (2009).

Homework:

Seven problem sets will be assigned and will be due approximately every two weeks.

Rules:

While general discussion of the homework problems is allowed, cooperation is strictly prohibited. When you sit down to write the problem solutions you should be alone. Duplicate solutions and slightly different computer codes will be discarded with no regard to original authorship. If one problem of a homework set is found to be duplicate, the whole set will be given zero credit.

Course grade and exams:

The course grade will be based on homework problem solutions (20%), midterm exam (20%), and final exam (60%).

The midterm and final exams will be open-book and open-notes. The exams will cover material discussed in the classroom, which may not necessarily be included in the textbook.

The use of a laptop computer is strictly prohibited during the exams. A programmable calculator can be used, but only for additions, multiplications, and divisions. Make sure to bring the class notes, a calculator, and scratch paper. If you missed a lecture, please make sure that you obtain a copy of the lecture notes.

The final exam will be comprehensive; that is, it will cover the material discussed throughout the course.

Schedule and assignments:

Reading
assignment 		Problem
assignment 		Lecture plan
Week 1 Tue Sept 08 Chapter 1 First homework
1.1.1 -- 1.2.1 -- 1.3.1 -- 1.4.2 -- 1.5.1
Solutions 		-
Wed Sept 09 - - -
Thu Sept 10 - - -
Week 2 Tue Sept 15 Study:
path_lines.m
path_lines_vel.m
- -
Wed Sept 16 - - -
Thu Sept 17 - - -
Week 3 Tue Sept 22 - - -
Wed Sept 23 - - -
Thu Sept 24 Second homework
1.3.2 -- 1.6.1 -- 1.6.2 -- 1.6.3 Solutions 		First homework due
Week 4 Tue Sept 29 - - -
Wed Sept 30 - - -
Thu Oct 01 - - -
Week 5 Tue Oct 06 Study:
rec_2d_strml.m
grid_2d.m
rec_2d_int.m 		- Two lectures on this day: one at 9:30 instead of CHE 325, and the second at the regular time and place for CHE 330
Wed Oct 07 Third homework
1.7.1 -- 1.7.2 -- 1.7.5 -- 2.1.2 Solutions 		Second homework due
Thu Oct 08 - - Lecture for CHE 325 instead of 330
Week 6 Tue Oct 13 - No class (Monday schedule)
Wed Oct 14 Chapter 2 - Lecture
Thu Oct 15 - -
Week 7 Tue Oct 20 - Lecture for CHE 325 instead of 330
Wed Oct 21 Study:
rec_2d.m
rec_2d_vgt.m
draw_arrow_2d.m
Fourth homework
2.2.1 -- 2.3.1 -- 2.3.4 -- 2.4.1 -- 2.5.1 		Third homework due
Thu Oct 22
Week 8 Tue Oct 27 - - Mid-term exam
Solutions
Wed Oct 28 - - Lecture
Thu Oct 29 Chapter 4 - -
Week 9 Tue Nov 03 - -
Wed Nov 04 - Fifth homework
4.3.1 -- 4.4.1 -- 4.4.2 -- 4.5.1 -- 4.5.2 		Lecture
Fourth homework due
Thu Nov 05 - - -
Week 10 Tue Nov 10 Study:
men_2d_plate.m 		- -
Wed Nov 11 - - -
Thu Nov 12 - - Two lectures on this day: one at 9:30 instead of CHE 325, and the second at the regular time and place for CHE 330
Week 11 Tue Nov 17 - -
Wed Nov 18 - Sixth homework Fifth homework due
Thu Nov 19 - - -
Week 12 Tue Nov 24 - - -
Thu Nov 26 - - University holiday
Week 13 Tue Dec 01 - -
Wed Dec 02 - - Sixth homework due
Thu Dec 03 - - -
Week 14 Tue Dec 08 - - -
Thu Dec 10 - -
Week 15 Mon Dec 14 - - Final Exam
1:30 ISB0221

Class messages

(in reverse chronological order)

| Textbook web site

| Free money:

10 cents will be paid for each previously unnoticed typographical error discovered in the textbook; 20 cents for each previously unnoticed grammatical error; 40 cents for each previously unnoticed derivation error or false proof.

| Please pay attention to the following class policy:

Duplicate solutions and slightly different computer codes will be discarded with no regard to original authorship. If one problem of a homework set is found to be duplicate, the whole set will be given zero credit. If you cannot find your graded homework, this means that it was kept as a duplicate solution.