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2020年度


31694005 

△Advanced Transport Phenomena(E)
Advanced Transport Phenomena (E)
2単位/Unit  秋学期/Fall  京田辺/Kyotanabe  講義/Lecture

  土屋 活美

<概要/Course Content Summary>

Advances as well as fundamentals of transport phenomena,including momentum transfer (viscous flow),energy transfer (heat conduction and convection) and mass transfer (diffusion),are discussed based on basic physical principles along with the analogy in basic laws/mechanisms of transport,and explored in terms of mathematical formulation. Emphasis is put on deriving the three basic equations of momentum,energy and mass transfer for continuous flow systems,and illustrating their applications to various chemical engineering problems. These analyses are helpful for students to understand the basics of chemical apparatus and processes. Specific topics include: 1) three basic laws of molecular transport―Newton's law of viscosity,Fourier's law of heat conduction,and Fick's law of diffusion; 2) shell balances―setting up ordinary differential equations for simple geometries; 3) equations of change―their derivation,simplification with judicious assumptions,and solution of the remaining equations; 4) unsteady transport processes characterized by partial differential equations,and methods of solution; 5) macroscopic balances involving the use of proper empirical correlations for transfer coefficients in complex geometries and/or convective flows.

<到達目標/Goals,Aims>

(1) To be able to recognize the usefulness of transport-phenomenological approaches in chemical processes,and to apply their fundamental concepts to the process design. 
(2) To be able to understand the basic laws/mechanisms of transport,and to explain the nature of phenomena based on the underlying physical principles. 
(3) To be able to derive the three basic equations of transport for continuous flow systems,and to mathematically demonstrate their applications to various engineering problems. 
(4) To be able to explore academically the problem-solving skilles in designing the essentials of chemical apparatus and processes.

<授業計画/Schedule>

(実施回/
Week)
(内容/
Contents)
(授業時間外の学習/
Assignments)
(実施回/ Week) (内容/ Contents) Introduction: transport-phenomenological approaches to designing chemical processes  (授業時間外の学習/ Assignments) Relevant/assigned references to be gone through in advance (1 hr) 
(実施回/ Week) (内容/ Contents) Three basic laws of molecular transport: (1) Newton's law of viscosity  (授業時間外の学習/ Assignments) Relevant references to be gone over; Handout (corresponding to Text pp.16-21,34-37) to be gone through in advance (1 hr each) 
(実施回/ Week) (内容/ Contents) Three basic laws of molecular transport: (2) Fourier's law of heat conduction; (3) Fick's law of diffusion 【Quiz (1)】  (授業時間外の学習/ Assignments) Handout (corresponding to Text pp.16-21,34-37) to be gone over; Handout (corresponding to Text pp.266-269,283-286; 514-517,533-538) to be gone through in advance (1 hr each) 
(実施回/ Week) (内容/ Contents) Shell balances: setting up ordinary differential equations for simple geometries 【Quiz (2) ―> Report】  (授業時間外の学習/ Assignments) Handout (corresponding to Text pp.pp.266-269,283-286; 514-517,533-538) to be gone over; Text pp.40-61 to be gone through in advance (1.5 hrs each) 
(実施回/ Week) (内容/ Contents) Derivation of general equations of change: (0) equation of continuity (total mass balance)  (授業時間外の学習/ Assignments) Text pp.40-61 to be gone over; Text pp.75-78 to be gone through in advance (1 hr each) 
(実施回/ Week) (内容/ Contents) Derivation of general equations of change: (1) equation of motion (momentum balance)-Part 1  (授業時間外の学習/ Assignments) Text pp.75-78 to be gone over; Text pp.78-80 to be gone through in advance (1 hr each) 
(実施回/ Week) (内容/ Contents) Derivation of general equations of change: (1) equation of motion (Navier-Stokes equation)-Part 2 【Quiz (3)】  (授業時間外の学習/ Assignments) Text pp.78-80 to be gone over; Text pp.83-86 to be gone through in advance (1.5 hrs each) 
(実施回/ Week) (内容/ Contents) Derivation of general equations of change: (2) equation of energy (energy balance) 【Quiz (4) ―> Report】  (授業時間外の学習/ Assignments) Text pp.83-86 to be gone over; Text pp.81-82,333-341 to be gone through in advance (1 hr each) 
(実施回/ Week) (内容/ Contents) Derivation of general equations of change: (3) equations of continuity for multicomponent systems (species material balances)  (授業時間外の学習/ Assignments) Text pp.81-82,333-341 to be gone over; Text pp.582-586 to be gone through in advance (1 hr each) 
(実施回/ Week) 10  (内容/ Contents) Summary of equations of change: 1+3 general forms in terms of their analogical relationship 【Quiz (5) ―> Report】  (授業時間外の学習/ Assignments) Text pp.582-586 to be gone over; Text pp.586-589 to be gone through in advance (1 hr each) 
(実施回/ Week) 11  (内容/ Contents) Solving equations of change: (0)&(1) equations of continuity and motion--simplification with judicious assumptions  (授業時間外の学習/ Assignments) Text pp.586-589 to be gone over; Text pp.86-91 to be gone through in advance (1 hr each) 
(実施回/ Week) 12  (内容/ Contents) Solving equations of change: (0)&(1) solution of the remaining ordinary differential equations (ODEs) 【Quiz (6) ―> Report】  (授業時間外の学習/ Assignments) Text pp.86-91 to be gone over; Text pp.93-96 to be gone through in advance (1.5 hrs each) 
(実施回/ Week) 13  (内容/ Contents) Solving equations of change: (0),(1)&(3) illustrative applications to more complicated situations 【Quiz (7) ―> Report】  (授業時間外の学習/ Assignments) Text pp.93-96 to be gone over; Text pp.558-561 to be gone through in advance (1.5 hrs each) 
(実施回/ Week) 14  (内容/ Contents) Exploring unsteady transport processes characterized by partial differential equations (PDEs),and methods of solution  (授業時間外の学習/ Assignments) Text pp.558-561 to be gone over; Text pp.114-117,374-378 to be gone through in advance (1 hr each) 
(実施回/ Week) 15  (内容/ Contents) Exploring combined balances involving the use of proper empirical correlations for transfer coefficients in complex geometries 【Quiz (8) ―> Report】  (授業時間外の学習/ Assignments) Text pp.114-117,374-378 to be gone over; Text pp.97-103 to be gone through in advance (1 hr each) 

<成績評価基準/Evaluation Criteria>

Class Participation--via online [Zoom] classes--including Quizes and Reports  40%  Evaluated based on mainly the performance exhibited through several quizes in class and assignments,and partly the understanding inferred from class participation. 
Finals ⇒ Final report  60%  Evaluated based on the levels of understanding and answering-expression capability exhibited through the term-end report. 

<テキスト/Textbook>

Bird,R.B.,Stewart,W.E.,and Lightfoot,E.N. , Transport Phenomena ,  2nd Ed .   (John Wiley & Sons, 2007) . 

 

<参考文献/Reference Book>

The above textbook will serve as a reference as well. When necessary,some handouts are to be distributed.

 

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