Winter, 2003
R. Overney

Course Textbook (BSL): "Transport Phenomena", 2nd Ed., R.B. Bird, W.E. Stewart and E.N. Lightfoot, John Wiley, New York 2002
References:  Perry, "Chemical Engineers Handbook", McGraw-Hill

Chemical Engineering 330

TRANSPORT PROCESSES I (Fluid Mechanics)

Course Outline

I. Basics of Transport Processes

Phenomenological Rate Laws, Transport Coefficients and Mechanisms

1. Diffusive Mechanisms for Transport Processes: Heat, Mass and Momentum

1.1 Viscosity (diffusive transport coefficient for momentum transport) (BSL pp. 11-15)

Newton's Law of Viscosity, pressure and temperature dependence of viscosity (BSL pp. 21-23)

1.2 Thermal Conductivity (diffusive transport coefficient for heat transport) (BSL pp. 265-273)

Fourier's law, heat flux, thermal conductivity, heat capacity, thermal diffusivity, Prandtl number, temperature and pressure dependence of thermal conductivity.

1.3 (Mass) Diffusivity (diffusive transport coefficient for mass transport) (BSL pp. 513-524)

Fick's law of binary diffusion, Schmidt number, pressure and temperature dependence of diffusivities.

1.4 Other Transport Mechanisms: Convection, Radiation

1. Molecular Theory of Viscosity

2.1 Molecular Theory of the Viscosity of Gases at low Density (BSL pp. 23—28 )

2.2 Molecular Theory of the Viscosity of Liquids (BSL pp. 29—31 )

II. Distributions from Shell Balance with Rate Equation

One dimensional distributions in velocity, temperature and concentration

2. Shell Momentum Balances and Velocity Distributions in Laminar Flow

3.1 One-dimensional Flow Profiles (BSL pp. 41-58)

Boundary condition (no slip condition), straight streamline condition, flow of falling film, and flow in a circular tube, flow through annulus, flow of adjacent immiscible fluids

3.2 Creeping Flow Around a Sphere (BSL pp. 58-61)

3. Shell Energy Balances and Temperature Distribution in Solids

4.1 One-dimensional Flow Profiles in Conduction (BSL pp. 290-296)

Boundary condition (Dirichlet, Neumann, Newton's Law of Cooling))

4.2 Heat Conduction through Composite Walls (BSL pp. 303-307)

4. Shell Mass Balances and Concentration Profiles

5.1 Diffusion through Stagnant Gas Film (BSL pp. 545-551)

III. Fundamental Equations of Isothermal Flow of a Pure Fluid

5. Equation of Change

6.1 Equation of Continuity (BSL pp. 77-78)

Mass balance equation

6.2 Equation of Motion (BSL pp. 78-80

Momentum balance equation, the relative motion of the observer, Navier Stokes Equation 83-86)

6.3 Elimination Procedure to Solve Navier-Stokes Equation (BSL pp. 86-96)

Mass balance equation

IV. Velocity Distribution with More than One Independent Variable

Curl-Representation of Navier-Stokes Equation, Stream Functions, Potential Flow

6. Navier Stokes and Inviscid Flow Pattern

7.1 Vorticity, Stream Function and Navier-Stokes Equation (BSL pp. 121-123)

Gromeka Lamb Equation

7.2 Inviscid Two-Dimensional Flow (BSL pp. 126-133)

Velocity potential

7. Viscous and Inviscid Flow

8.1 Boundary Layer Equation (Prantdl, Blasius) (BSL pp. 133-140)

V. Friction Factor

8. Friction Factor in Various Geometries and Confinement

9.2 Friction Factor in Tubes (BSL pp. 177-184)

9.2 Friction Factor for Flow around Spheres (BSL pp. 184-188)

9.2 Friction Factor for Packed Columns (BSL pp. 188-192)

VI. Velocity Distribution in Turbulent Flow (BSL pp. 152-221)

10. Laminar vs. Turbulent Flows – Eddy Diffusivity

VII. Momentum Transfer and Overall Balances

11. Balances

11.1 Macroscopic Mass Balance (BSL pp. 198-200)

11.2 Macroscopic Momentum Balance (BSL pp. 200-201)

11.3 Macroscopic Mechanical Energy Balance (BSL pp. 203-205)

12. Viscous Loss and Use of Macroscopic Balances (BSL pp. 205-221)