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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2022/2023

Momentum, Mass and Heat Transfer

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Code Completion Credits Range
2181026 Z,ZK 5 3P+1C
Lecturer:
Tomáš Jirout (guarantor), Martin Dostál
Tutor:
Tomáš Jirout (guarantor), Vojtěch Bělohlav, Martin Dostál, Adam Krupica, Jiří Moravec, Jan Skočilas, Stanislav Solnař
Supervisor:
Department of Process Engineering
Synopsis:

Fundamentals of transport phenomena balances in homogeneous fluids. Navier-Stokes equations. Momentum transport in turbulent flows. Mechanical energy equation. Residence time distributions in continuous systems. Conduction heat transfer. Forced and natural convection heat transfer. Heat transfer with phase changes and thermal radiation. Multicomponent systems. Mass transfer by molecular diffusion, convection, with chemical reactions and interphase mass transfer.

Requirements:
Syllabus of lectures:

Contents:

1.Course introduction, fundamentals of cartesian tensor calculus .

2.Fundamental balance equations. General transport equation, material derivative. Equation of continuity. Momentum balance - Cauchy´s equation of dynamical equilibrium in continua.

3.Angular momentum balance. Kinematics of fluid flow. Rheological constitutive equations.

4.Navier-Stokes equation.

5.Inspection analysis of the Navier-Stokes equation. Drag coefficient with flow around objects.

6.Solutions of the Navier-Stokes equations in limiting cases. Engineering Bernoulli equation. Darcy-Weissbach equation. Frictional loss coefficient. Boundary layer.

7.Turbulent flow. Friction factor and frictional losses and drag coefficient with turbulent flow. Mechanical energy balance.

8.Residence time distribution. Internal energy balance and heat transfer. Fourier´s law of heat conduction.

9.Fourier-Kirchhoff ´s equation. Fourier´s equation. Steady-state heat conduction. Thermal resistance. Overall heat tranfer coefficient.

10.Multidimensional heat conduction problems. Heat conduction with internal sources or sinks. Unsteady heat conduction in solids.

11.Forced convection. Momentum and heat transfer analogy.

12.Natural convection. Mixed convection. Heat transfer with boiling and condensation

13.Radiation heat transfer. Fundamental concepts and equations of mass transfer.

14.Fick´s law. Molecular mass transfer. Mass transfer with chemical reactions. Unsteady mass transfer. Convective mass transfer. Interphase mass transfer.

Syllabus of tutorials:

1. Course introduction. Practical examples of momentum and heat transfer.

2. Basis of tensor calculus - examples. Application of angular momentum balance.

3. Solutions of momentum balance - Cauchy´s equation in one-dimensional cases.

4. Approximation solution of momentum balance.

5. Solution of steady-state heat conduction without and with internal sources.

6. Solution of unsteady heat conduction in solids.

7. Forced and natural convection. Calculation of heat exchanger.

Study Objective:
Study materials:

Šesták J., Rieger F.: Přenos hybnosti, tepla a hmoty. Skriptum ČVUT.

Note:
Time-table for winter semester 2022/2023:
Time-table is not available yet
Time-table for summer semester 2022/2023:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
roomT4:A2-262
Bělohlav V.
16:00–17:30
EVEN WEEK

(lecture parallel1
parallel nr.101)

Dejvice
Učebna 262
Tue
roomT4:A1-507b
Dostál M.
10:45–12:15
(lecture parallel2)
Dejvice
Učebna 507
roomT4:A1-507b
Dostál M.
10:45–12:15
(lecture parallel1
parallel nr.201)

Dejvice
Učebna 507
Wed
Thu
Fri
roomT4:D1-266
Jirout T.
08:00–10:30
(lecture parallel1)
Dejvice
Posluchárna 266
roomT4:A2-262
Krupica A.
14:15–15:45
ODD WEEK

(lecture parallel1
parallel nr.102)

Dejvice
Učebna 262
roomT4:A2-262
Skočilas J.
10:45–12:15
ODD WEEK

(lecture parallel1
parallel nr.106)

Dejvice
Učebna 262
roomT4:A2-262
Krupica A.
14:15–15:45
EVEN WEEK

(lecture parallel1
parallel nr.103)

Dejvice
Učebna 262
roomT4:A2-262
Skočilas J.
10:45–12:15
EVEN WEEK

(lecture parallel1
parallel nr.107)

Dejvice
Učebna 262
roomT4:A2-262
Solnař S.
12:30–14:00
ODD WEEK

(lecture parallel1
parallel nr.104)

Dejvice
Učebna 262
roomT4:A2-262
Solnař S.
12:30–14:00
EVEN WEEK

(lecture parallel1
parallel nr.105)

Dejvice
Učebna 262
The course is a part of the following study plans:
Data valid to 2023-02-07
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