Course overview: Students learn about tensor and vector calculus 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 T2SCHOLA 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 | Similarity of Transport Phenomena, General Equation, Equation of Continuity | Exercise: Basic of the calculation of derivatives and the coordinates transformation of velocity vectors |
Class 2 | Equations of Heat, Mass and Momentum Transfer and the basic of the derivation of velocity distributions | Exercise: Derivation of balance equations in various coordinate systems |
Class 3 | Velocity distribution of unsteady state flow | Exercise: Unsteady state Navier-Stokes equation |
Class 4 | Basic equation of transport phenomena in vector form | Exercise: Basic of vector calculus |
Class 5 | Mechanical energy balance | Exercise: Problems on the energy balance |
Class 6 | Internal energy and energy dissipation | Exercise: Energy dissipation |
Class 7 | Stream function | Exercise: Stream function |
Class 8 | Velocity potential | Exercise: Complex velocity potential |
Class 9 | Boundary layer theory | Exercise: Boundary layer theory. |
Class 10 | レオロジー | Exercise: Rheology |
Class 11 | Flow of non-Newtonian fluid | Exercise: Velocity distribution of non-Newtonian fluid |
Class 12 | Turbulent flow | Exercise: A problem on a turbulent flow in a circular pipe |
Class 13 | Flow around particles, Flow in a packed bed | Exercise: Flow around particles |
Class 14 | Mechanical separation | Exercise: Design of mechanical separator |
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 T2SCHOLA system.
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, "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 and examination.
Basic knowledge of undergraduate level of mathematics, physics and transport phenomena is necessary.
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