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
Intercultural skills | Communication skills | Specialist skills | Critical thinking skills | Practical and/or problem-solving skills |
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✔ | - | ✔ | ✔ | ✔ |
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 | Required learning | |
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Class 1 | What is transport phenomena? Basics of momentum transport phenomena | None |
Class 2 | Rheology, Stress tensor and deformation tensor | Exercise: Students will be able to understand rheology of various kinds of fluid. |
Class 3 | Similarity among momentum, heat and mass transport phenomena | Exercise: Students will be able to derive velocity distributions in rectangular coordinate. |
Class 4 | General basic equations of transport phenomena (Equation of continuity, Momentum, heat and mass balance equations) | Exercise: Students will be able to derive velocity distributions of axial flow in cylindrical coordinate. |
Class 5 | General basic equation of energy balance | Exercise: Students will be able to derive a temperature distributions based on a heat balance equation. |
Class 6 | Derivation of velocity distributions | Exercise: Students will be able to derive velocity distributions of tangential flow in cylindrical coordinate. |
Class 7 | Equation of mechanical energy of fluid flowing through a circular pipe | Exercise: Students will be able to calculate energy balance in piping. |
Class 8 | Stream function and velocity potential | Exercise: Students will be able to utilize complex velocity potential for analysis of two dimensional flow. |
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 | Fluid flow around particles | Exercise: Students will be able to analyze unsteady state flow around a particle. |
Class 11 | Flow of non-Newtonian fluid | Exercise: Students will be able to understand characteristics of circular pipe flow of non-Newtonian fluid. |
Class 12 | Turbulent flow | Exercise: Students will be able to understand characteristics of turbulent flow in a circular pipe. |
Class 13 | Mixing | Exercise: Students will be able to calculate power consumption in a stirred vessel. |
Class 14 | Mechanical separation | Exercise: Students will be able to calculate permeate flux of filtration. |
Class 15 | Numerical analysis of transport phenomena | Exercise: Students will be able to understand the basics of numerical analysis of transport phenomena. |
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 final exam (80%) and exercises/problems (20%).
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