Momentum, Heat and Mass Transfer
Code  Completion  Credits  Range  Language 

E181026  Z,ZK  5  3P+1C 
 Lecturer:
 Karel Petera (guarantor)
 Tutor:
 Karel Petera (guarantor)
 Supervisor:
 Department of Process Engineering
 Synopsis:

Fundamentals of transport phenomena balances in homogeneous fluids. NavierStokes 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.NavierStokes equation.
5.Inspection analysis of the NavierStokes equation. Drag coefficient with flow around objects.
6.Solutions of the NavierStokes equations in limiting cases. Engineering Bernoulli equation. DarcyWeissbach 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.FourierKirchhoff ´s equation. Fourier´s equation. Steadystate 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 onedimensional cases.
4. Approximation solution of momentum balance.
5. Solution of steadystate 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:
 Timetable for winter semester 2019/2020:
 Timetable is not available yet
 Timetable for summer semester 2019/2020:

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 Tue Fri Thu Fri  The course is a part of the following study plans:

 12 74 79 00 BTZSI 2012 A  prezenční anglicky (compulsory course in the program)
 09 54 59 00 BSTR 2012 A  prezenční anglicky (compulsory course in the program)
 09 54 59 00 DSTR 2012 A  prezenční anglicky (compulsory course in the program)