Outline of the course: Heat and mass transport phenomena in chemical equipment depend significantly on characteristics of fluid flow. Equations of motion of fluid are derived from a view point of momentum transfer. Velocity distributions in various flow fields are obtained by means of the equations of motion.
Aims of the course: In this course, students learn the methods of solving the equations of motion for one dimensional steady and unsteady state problems. In addition, they also learn methods of calculation of mechanical energy loss by friction in transportation of fluid through pipes and pipe fittings based on energy balance equations. Furthermore, concepts of stream functions, velocity potentials and the boundary layer theory applied for two dimensional fluid flow fields are taken up as subjects.
The target of this subject is to understand the similarity among momentum, heat and mass transport phenomena and to learn the basic knowledge and ways of thinking on methods for solving various problems related to momentum transport phenomena in chemical equipment.
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 |
In every lecture, slides in which the contents of the textbook were summarized are distributed to the students through the Tokyo Tech. OCWi system and are used in class. An exercise problem is provided for the students for about 30 minutes toward the end of each lecture.
Course schedule | Required learning | |
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Class 1 | What is transport phenomena? Similarity among momentum, heat mass transport phenomena | Exercise: Exercise of calculation of flow rate Students will be able to calcurate flow rates in equipment. |
Class 2 | Viscosity of fluid, Classification and description of fluid flow in terms of flow characteristics | Exercise: Calculation of momentum flulx and Reynolds number Students will be able to calculate momentum and Reynolds number. |
Class 3 | Momentum balance, Derivation of velocity distributions based on shell momentum balance | Excercise: Students will be able to derive velocity distributions in rectangular coordinate. |
Class 4 | A general basic balance equation of phisycal quantity and general momentum balance equations | Excercise: Students will be able to derive velocity distributions of axial flow in cylindrical coordinate. |
Class 5 | Derivation of velocity distributions based on general momentum balance equations | Excercise: Students will be able to derive velocity distributions of tangential flow in cylindrical coordinate. |
Class 6 | A mechanical energy balance equation and friction loss | Exercise: Problem of fluid transportation by pipes and pipe fittings Students will be able to calculate the power of pump in fluid transportation in piping. |
Class 7 | Stream function and velocity potential | Exercise: Students will be able to analyze two dimensional flow by means of stream function and velocity potential. |
Class 8 | Boundary layer theory | Exercise: Students will be able to analyze two dimensional flow close to a solid surface by means of boundary layer theory. |
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.
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, "Mathemaatics for Chemical Engineering" Suurikogakusha (2007)
Edited by Kohei OGAWA , "Analysys of Momentum Transport Phenomena", Asakura Shoten (2011)
R.B.Bird, W.E.Stewart, E.N.Lightfoot: "Transport Phenomena" Revised 2nd Edition, Wiley(2006)
Degrees of understanding of methods for derivation of balance equations, derivation of velocity distributions, calculation of energy balances in transportation of fluid through pipes and pipe fittings and infruence of fluid flow on heat and mass transport phenomena are evaluated. Score consists of 80% of results of the semester end examination and 20% of the exercises. Students must attend lectures because the results of exercise given in each lecture are reflected to the total score.
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