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Course Syllabus: FEN-SI3B41L3 Heat Transfer
September 24, 2019
University of TokyoDepartment of Systems Innovation,
Program for Environment and Energy Systems
Yoshihiro Masuda
Course syllabus: FEN-SI3b41L3 Heat Transfer2
General Course Information
Semester: A1 2019Place: Lecture-Room #35 (Eng. Bldg. No.3)Time: 16:50 – 18:35, Tuesday and FridayInstructors:
Dr. Yoshihiro Masuda, Professore-mail: [email protected]
Credits: 2.0 AU
Course syllabus: FEN-SI3b41L3 Heat Transfer3
Course Description and Objectives
The objective of this course is to present the fundamental principles of heat transfer by relating those principles to practical engineering applications.
The course will start from the introduction to heat transfer by conduction, radiation and convection, and cover the topics on steady-state analysis of heat transfer, unsteady-state heat transfer, numerical solution of heat conduction problems, practical problems for forced-convection heat transfer, and natural convection systems.
Students will learn the ability to solve heat-transfer problems often appeared in the area of environment and energy engineering.
Note: Course textbook is "Heat Transfer (9th ed., J.P. Holman, 2001)" written in English, but lecture will be given in Japanese.
Textbook: J. P. Holman, Heat Transfer, 9th Edition. McGrawHill, 2001.
Course syllabus: FEN-SI3b41L3 Heat Transfer4
Expected Course Outcome
Students achieving passing grades in this course will be able to do basic calculations on heat-transfer problems for environment and energy engineering. By the end of this course they should be able to:
(1) Understand the basic concepts of conduction, convection and radiation heat transfer.
(2) Understand how to formulate and solve one and two dimensionalconduction heat transfer problems. Solution techniques will include both analytical and numerical methods. Convection effects will be included as boundary conditions.
(3) Understand the fundamentals of the relationship between fluid flow and convection heat transfer.
(4) Apply empirical correlations for both forced and free convection to determine values for the convection heat transfer coefficient. Students will be able to calculate heat transfer rates using the coefficients.
(5) Understand the definitions and meanings of the dimensionless numbers(the Prandtl number, the Reynolds number, the Fourier number, the Biot number, the Nusselt number) and apply these numbers to engineering calculations.
Course syllabus: FEN-SI3b41L3 Heat Transfer5
Example of learning objectives
• Design of Heat Exchanger (熱交換器の設計)– Fluid enters into a tube at the temperature of 10℃ and the rate
of 100 L/min. （温度10℃の流体が100L/minのレートでチューブ内に入る） We want to get the fluid temperature of 40℃ at the outlet of the heat exchanger. （出口からの流出する流体の温度を40℃にしたい）
– Find the minimum length of the tube.（長さはどのくらい必要か？）
flow in flow out
Ambient temperature 60℃100 L/min
Length L
Temperature10℃
Temperature40℃
Heat flux
Course syllabus: FEN-SI3b41L3 Heat Transfer6
Prerequisites （授業履修に必要な知識）
Fundamental knowledge on fluid mechanics [Fluid Mechanics A (03-810070)] is necessary for understanding heat convection in flow streams.流れにおける対流熱伝達を理解するためには，流体力学に関する基礎知識が必要。2年時に『流体力学Ａ』を履修していれば問題ない。
但し，講義を聞いて理解できれば問題はない
Students should be familiar with MS Excel because it will be often used for analytical and numerical calculations. MATLAB can be used for these calculations.解析解・数値解を求める計算では，エクセルシートを頻繁に使うので，その操作方法に慣れている必要がある。これらの計算では，MATLABを使うこともできる。
市販の簡単なマニュアル書を読んで，自分で学習する
UTokyo MATLAB Campus-Wide License:https://www.u-tokyo.ac.jp/adm/dics/ja/matlabcwl.html
Course syllabus: FEN-SI3b41L3 Heat Transfer7
Course Contents（授業の内容） - Fundamentals
Week 1 (2019/9/24): Text Pages 1-241. Introduction to Heat Transfer
Course Description and Objectives,Mode of heat transfer (heat conduction, convention, radiation), Basic law and thermal properties (Fourier’s law, thermal conductivity, heat-transfer coefficient), Energy balance equation
Week 2, 3 (9/27, 10/1): Text Pages 25-702. Steady-state conduction – One dimension
Heat conduction through composite material, Thermal resistance, Heat conduction problems with heat sources, Overall heat-transfer coefficient, Thermal contact resistance, Fins
Week 4 (10/4): Text Pages 71-823. Steady-state conduction for multiple-dimension problems (1): Analytical
methodAnalytical solution of two-dimensional heat conduction problems, Graphical analysis, Conduction shape factors
Course syllabus: FEN-SI3b41L3 Heat Transfer8
Course Contents – Conduction Problems
Week 5, 6 (10/8, 10/11): Text Pages 82-1304. Steady-state conduction for multiple-dimension problems (2):
Numerical methodNodal equations for finite-difference calculations, Solution technique using Gauss-Seidel iteration, Problem-solving exercises
Week 7 (10/15): Text Pages 131-1585. Unsteady-state conduction (1): Analytical and graphical methods
Lumped-heat-capacity analysis, Transient heat flow in semi-infinite solid, Convection boundary conditions, Heisler charts, Biot number, Fourier number
Week 8, 9 (10/18, 10/25): Text Pages 158-2046. Unsteady-state conduction (2): Transient numerical method
Forward and backward finite-difference formulations, Problem-solving exercises
Course syllabus: FEN-SI3b41L3 Heat Transfer9
Course Contents – Convection Heat-Transfer Problems
Week 10 (10/29): Text Pages 205-2187. Principles of heat convection (1): Hydrodynamic boundary layer
Laminar and turbulent boundary-layer flows on a flat plate, Integral momentum analysis of laminar boundary layer
Week 11 (11/1): Text Pages 218-2638. Principles of heat convection (2): Energy equation of boundary layer
Thermal boundary layer, Integral energy analysis of laminar flow, Prandtl number, Nusselt number, Heat transfer in laminar and turbulent tube flows
Week 12 (11/5): Text Pages 265-3139. Empirical and practical relations for forced-convection heat transfer
Empirical relations for pipe and tube flows, Heat transfer in flow across cylinders/spheres and along flat plates
Week 13 (11/8): Text Pages 315-36610. Natural convection systems
Free-convection heat transfer on a vertical flat plate, Grashof number, Empirical relations for free convection, Free convection in enclosed spaces, combined free and forces convection
Course syllabus: FEN-SI3b41L3 Heat Transfer10
Grading and Examination （成績評価と試験）
Final Exam (11/15)Final Examination will be open book and open notes.
Grading will be determined by:Final Exam 70%Homework and Performance 30%Homework will be due by 16:50 after one week.
Course syllabus: FEN-SI3b41L3 Heat Transfer11
Notes（留意事項）
(1) Classroom attendance is expected except in cases of illness, emergencies or other excusable circumstances.
(2) Lecture period is limited for comprehensive understanding. Read the textbook by yourself before and after the scheduled lecture.
(3) Homework problems are assigned during each lecture and usually due one week later. Late homework will not be accepted. Try to solve the problems independently. The assigned problems will be collected, graded, and returned to you later. The solutions will be posted on the web.
(4) Details for radiation heat transfer will not be lectured in this course, but it is a fundamental concept for solving and understanding the global warming problems. Students are expected to learn the textbook individually after this course.
(5) The website of this course is:http://www.asahi-net.or.jp/~ri6y-msd/Visit this website for your self-learning.
Course syllabus: FEN-SI3b41L3 Heat Transfer12
講義で修得する知識・能力
1. 伝熱の基礎の理解（Week 1）– 熱伝導，対流熱伝達，熱放射とは何か？– 熱伝導方程式
2. 定常熱伝導問題とその解き方– 基礎事項の理解（Week 2, Week 3）– 多次元問題を解析的に解く（Week 4）– 多次元問題を数値計算で解く（Weeks 5 and 6）
3. 非定常熱伝導問題とその解き方– 1次元問題を解析的に解く（Week 7）– 多次元問題を数値計算で解く（Weeks 8 and 9）
4. 対流熱伝達問題とその解き方– 基礎事項の理解（Weeks 10 and 11）– 強制対流熱伝達の計算（Week 12）– 自然対流熱伝達の計算（Week 13）
5. 無次元数の意味と定義の理解– プランドル数，レイノルズ数，フーリエ数，ビオ数，ヌッセルト数など
