Hydraulics I and Exercises

Numbering Code U-ENG23 23291 LJ73 Year/Term 2022 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Target Student
Language Japanese Day/Period Wed.3・4
Instructor name GOTOH HITOSHI (Graduate School of Engineering Professor)
ONDA SHINICHIROU (Graduate School of Engineering Associate Professor)
SANJIYOU MICHIO (Graduate School of Engineering Associate Professor)
HARADA EIJI (Graduate School of Engineering Associate Professor)
Yuma Shimizu (Graduate School of Engineering Assistant Professor)
Outline and Purpose of the Course Hydrodynamics corresponding to fundamental design of hydraulic structures is explained systematically in connection with classical fluid dynamics. Specifically, elementary fluid dynamics, dynamics of perfect fluid, viscous flow and turbulence, dimensional analysis, and one-dimensional flow equation and steady flow in pipelines and open channels. Steady flow related to pipe flow and open channel are main topics. Students will deepen their understanding of the basic theory through exercises.
Course Goals Systematic understanding of fundamental hydraulics・fluid mechanics through exercises
Schedule and Contents .
Vector and tensor analysis [Ex:1time]
Elementary Fluid Dynamics [Lec:6times, Ex:1time]: What is a continuum, Eulerian and Lagrangean
descriptions, continuity equation, Euler's equation of motion, Bernoulli's theorem, two-dimensional
irrotational flow, etc. are explained. In the exercises, one-dimensional analytical methods based on the
continuity equation and the equation of motion are considered.
Viscous Flow and Turbulence (Lec:4times): Deformation stress, Navier Stokes equation, velocity distribution
and friction loss in laminar flow, laminar and turbulent flow, Reynolds stress and Reynolds equation in
turbulent flow, velocity distribution in turbulent flow will be explained.
Intermediate examination: Intermediate examination is carried out.
One-dimensional flow equations [Lec:2times]: The derivation of energy and momentum equations for onedimensional
flows from Reynolds equations will be discussed in detail, and resistance laws for turbulent
flows in one-dimensional flows will be described.
Dimensional analysis and similarity law [Ex:0.5times]: Explanation and exercises on hydraulic quantities and
dimensional analysis, pi-theorem and similarity law.
Steady flow in pipe [Ex:0.5times]: Simple calculations of siphons and conduits (single, parallel and pipe
networks) are presented.
Steady-state flow in open channels [Lec:4times, Lec:2times]: The derivation of the water-surface equation
from the energy and momentum equations for one-dimensional flows is discussed in detail. Specific energy,
specific force, expressions for isentropic flow velocity, isentropic and limiting water depths, water surface
profile equations for gradual flow and their qualitative solutions (qualitative sketch of water surface profiles)
are explained. In the exercises, basic problems of open channel analysis based on one-dimensional flow
equations will be dealt with.
Achievement confirmation: Comprehension assessment will be conducted.
Feedback
Evaluation Methods and Policy Grades will be based on a comprehensive assessment by the final exam and the intermediate exams (50 marks
for the intermediate exam and 50 marks for the final exam, for a total of 100 marks).
Course Requirements Having taken the credits for standard liberal arts mathematics, including calculus and basic linear algebra,
and standard liberal arts physics, including mechanics and basic electromagnetism ([Fundamental Physics A]
and [Fundamental Physics B]). Having taken the credits for [Advanced Dynamics] is preferable.
Study outside of Class (preparation and review) Review of lecture content and revision of exercises
Textbooks Textbooks/References 流れの方程式, 後藤仁志, (森北出版), ISBN:978-4-627-67671-8
演習では必要に応じてプリント教材(印刷物)を配布する。
References, etc. 指定しない。
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