# Fiches de cours

## Fluid mechanics and transport phenomena

Sivula Kevin

English

#### Summary

The concept of Shell balances, the Navier-Stokes equations and generalized differential balances equations for heat and mass transport are given. These relations are applied to model systems. Integral balances are introduced in the context of boundary layers and transfer coefficients.

#### 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, Shell balance, Euler and Bernoulli equations, transfer in a system with multiple variables, transfer coefficent.

#### Learning Prerequisites

##### Required courses

ChE 201 Introduction to Chemical Engineering

ChE 204 Introduction to transport phenomena

Basic knowledge of mass and energy balances and the three fundamental laws of transport phenomina (Fick's law, Fourier's law, and Newton's law) are needed.

#### Learning Outcomes

By the end of the course, the student must be able to:
• Analyze engineering problems involving transfer phenomena
• Construct Shell balances for transport problems
• Deduce the initial and boundary conditions for an analytical solution of differential equations
• Produce analytical solutions to partial differential equations
• Estimate transfer coefficients using boundary layer theory

#### 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)

### Dans les plans d'études

• Semestre
Automne
• Forme de l'examen
Pendant le semestre
• Crédits
3
• Matière examinée
Fluid mechanics and transport phenomena
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines
• Passerelle HES - CGC, 2018-2019, Semestre automne
• Semestre
Automne
• Forme de l'examen
Pendant le semestre
• Crédits
3
• Matière examinée
Fluid mechanics and transport phenomena
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines
• Semestre
Automne
• Forme de l'examen
Pendant le semestre
• Crédits
3
• Matière examinée
Fluid mechanics and transport phenomena
• Cours
2 Heure(s) hebdo x 14 semaines
• Exercices
2 Heure(s) hebdo x 14 semaines

### Semaine de référence

LuMaMeJeVe
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
En construction

Cours
Exercice, TP
Projet, autre

### légende

• Semestre d'automne
• Session d'hiver
• Semestre de printemps
• Session d'été
• Cours en français
• Cours en anglais
• Cours en allemand