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.
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.
Vector analysis, Momentum transport phenomena, Fluid flow, Velocity distribution, Fluid transportation, Stream function, Velocity potential, Boundary layer theory
✔ Specialist skills | ✔ Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
Slides that summarize the relevant textbook contents are distributed beforehand to students with the Tokyo Tech.OCW-i system, and the lecture proceeds according to them. After each class, exercises are provided that correspond to the content of that day's class.
Course schedule | Required learning | |
---|---|---|
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 |
Prepare for and review (including exercises) about the lectures contents in about 100 minutes each.
Materials will be distributed by way of OCW-i system.
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)
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 the results of exercises/problems.
Basic knowledge of undergraduate level of mathematics and transport phenomena is necessary.
None