# Coursebooks 2016-2017

## Transport phenomena I

Sivula Kevin

English

#### Summary

- Derivation of differential balances equations for momentum, heat and mass. In this context, the derivation of the Navier-Stokes equation is applied for the calculation of velocity profiles in some systems. - Recognize and apply the analogies between the three types of transfer.

#### Content

- Equations for molecular flow: material (Fick's law); heat (Fourier's law); momentum (Newton's law).

- Analogy between the three types of transfer (linked by their diffusivities).

- Non-Newtonian fluids (Bingham and Ostwald models, thixotropic and rheopectic fluids).

- Differential and integral mass balance.

- Derivation and application of the continuity equation.

- Integral and differential momentum balance.

- The Navier-Stokes equation (analytical solution for simple systems).

- The perfect fluid: Euler and Bernoulli equations, validity domain.

- Pressure drop in a complex flow circuit. Use of the Moody diagram.

- Momentum, heat and mass transfer in multiple variables systems (solving partial differential equations).

#### Keywords

Transport phenomena, Continuity equation, Navier-Stokes equation, Euler and Bernoulli; equations; transfer in a system with multiple variables.

#### Learning Prerequisites

##### Required courses

Introduction to Chemical Engineering

#### Learning Outcomes

By the end of the course, the student must be able to:
• Analyze engineering problems involving transfer phenomena.
• Realize sustainable models for the three types of transfer
• Deduce the initial and boundary conditions for an analytical solution of differential equations
• Explore the similarities between the three types of transfer
• Deduce pressure drop in a complex flow path. Use the Moody diagram.
• Investigate the transfer of momentum, heat and mass in a system with multiple variables (solving partial differential equations)
• Realize the identical mathematical formalism of the three types of transfer

#### Teaching methods

Lectures with exercises

#### Expected student activities

Solution of exercices

#### Assessment methods

Continuous control

Two written tests during the semester

#### Resources

##### Bibliography

Transport Phenomena (second Edition); R. B. Bird; W.E. Stewart; E.N. Lightfoot. John Wiley and Sons, Inc (2002)

### In the programs

• Semester
Fall
• Exam form
During the semester
• Credits
3
• Subject examined
Transport phenomena I
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Passerelle HES - CGC, 2016-2017, Autumn semester
• Semester
Fall
• Exam form
During the semester
• Credits
3
• Subject examined
Transport phenomena I
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks
• Semester
Fall
• Exam form
During the semester
• Credits
3
• Subject examined
Transport phenomena I
• Lecture
2 Hour(s) per week x 14 weeks
• Exercises
2 Hour(s) per week x 14 weeks

### Reference week

MoTuWeThFr
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
Under construction

Lecture
Exercise, TP
Project, other

### legend

• Autumn semester
• Winter sessions
• Spring semester
• Summer sessions
• Lecture in French
• Lecture in English
• Lecture in German