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2020 Faculty Courses School of Materials and Chemical Technology Department of Chemical Science and Engineering Graduate major in Chemical Science and Engineering

Transport Phenomena and Operation

Academic unit or major
Graduate major in Chemical Science and Engineering
Instructor(s)
Shiro Yoshikawa
Class Format
Lecture (Zoom)
Media-enhanced courses
-
Day of week/Period
(Classrooms)
3-4 Wed (Zoom) / 3-4 Fri (Zoom)
Class
-
Course Code
CAP.C441
Number of credits
200
Course offered
2020
Offered quarter
4Q
Syllabus updated
Jul 10, 2025
Language
English

Syllabus

Course overview and goals

Course overview: Students learn about tensor and vector analysis necessary for analyzing momentum transfer while learning to understand the meaning of and relationship between stress tensors and deformation rate tensors with regards to fluid deformations. In addition, by understanding the physical quantity of flux, which students dealt with at the undergraduate level as a scalar, instead as a vector and tensor, students learn about the derivation of balance equations, fundamental equations for transfer phenomena in a 3-dimensional field.
Purpose of course: Based on the above, students will understand velocity distribution, mechanical energy balance, stream functions, and velocity potentials for a variety of flow fields, analysis of 2-dimensional flows with boundary layer theory, performance evaluations of all sorts of devices operated mechanically, and a numerical analytical approach to transfer phenomena.

Course description and aims

It is necessary to make it clear the velocity distributions and relationship among fluid flow and transport phenomena, in order to design various equipment for separation and mixing. The purpose of this course is to acquire the advanced knowledge on the practical and complex fluid flow fields in chemical equipment and to learn the methods for evaluation of the performances of the equipment from a view point of transport phenomena.

Keywords

Vector analysis, Momentum transport phenomena, Fluid flow, Velocity distribution, Fluid transportation, Stream function, Velocity potential, Boundary layer theory

Competencies

  • Specialist skills
  • Intercultural skills
  • Communication skills
  • Critical thinking skills
  • Practical and/or problem-solving skills

Class flow

Slides that summarize the relevant textbook contents are distributed beforehand to students with the Tokyo Tech.OCWi system, and the lecture proceeds according to them. In the last 30 to 40 minutes of each class, exercises are done that correspond to the content of that day's class.

Course schedule/Objectives

Course schedule Objectives
Class 1

What is transport phenomena? Basics of momentum transport phenomena

None

Class 2

Basic of Transport Phenomena I: General balance equation of physical quantity, Equation of Continuity

Exercise: Derivation of balance equations in various coordinate systems

Class 3

Basic of Transport Phenomena II-1: Heat balance, Mass balance, Stress Tensor

Exercise: Derivation of distributions of physical quantities in rectangular coordinate.

Class 4

Basic of Transport Phenomena II-2: Momentum balance equation, Derivation of velocity distribution

Exercise: Derivation of velocity distribution

Class 5

Stream function and velocity potential

Exercise: Analysis by means of a complex potential

Class 6

Boundary layer theory I

Exercise: Problems on a velocity boundary layer

Class 7

Boundary layer theory II

Exercise: Problems on a thermal boundary layer

Class 8

Rheology: Deformation of fluid

Exercise: Basic characteristics of non-Newtonian fluid

Class 9

Boundary layer theory

Exercise: Students will be able to analyze transport phenomena close to a solid surface by means of boundary layer theory.

Class 10

Flow of non-Newtonian fluid

Exercise: Velocity distribution of non-Newtonian fluid

Class 11

Turbulent flow

Exercise: A problem on a turbulent flow in a circular pipe

Class 12

Flow around particles

Exercise: Problems on behavior of a single particle in fluid

Class 13

Flow in a packed bed

Exercise: Pressure loss through a packe bed

Class 14

Mechanical separation

Exercise: Students will be able to calculate permeate flux of filtration.

Class 15

Mechanical mixing

Exercise: Scale up of an agitated vessel

Study advice (preparation and review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

Textbook(s)

Materials will be distributed by way of OCW-i system.

Reference books, course materials, etc.

Edited by Kohei OGAWA , "Analysis of Momentum Transport Phenomena", Asakura Shoten (2011)R.B.Bird, W.E.Stewart, E.N.Lightfoot: "Transport Phenomena" Revised 2nd Edition, Wiley(2006)
C.J.Geankoplis: Transport Process and Separation Process Principles (INCLUDES UNIT OPERATIONS), Prentice Hall (2008)Shiro YOSHIKAWA, "Basic Transport Phenomena", Kagakudojin (2015)Kohei OGAWA, Chiaki KURODA, Shiro YOSHIKAWA, "Fluid Flow for Chemical Engineers" Baifukan (2002)Kohei OGAWA, Chiaki KURODA, Shiro YOSHIKAWA, "Mathematics for Chemical Engineering" Suurikogakusha (2007)

Evaluation methods and criteria

The understanding of derivation methods of balance equations for physical quantities, finding velocity distributions, calculating energy balance for fluid transport, problems relating to mechanical operation, and numerical analysis of transfer phenomena are evaluated. Grades are awarded based on final exam (80%) and exercises/problems (20%).

Related courses

  • CAP.C201 : Transport Phenomena I (Momentum)
  • CAP.C202 : Transport Phenomena II (Heat)
  • CAP.C203 : Transport Phenomena III (Mass)
  • CAP.E241 : Data Analysis for the Chemical Engineering
  • CAP.C311 : Particle and Fluid Operation

Prerequisites

Basic knowledge of undergraduate level of mathematics and transport phenomena is necessary.

Other

None