dr. goran jovanovic - oregon state...

OSU College of Engineering CHE-331 Fall 2015 [email protected]

OREGON STATE UNIVERSITY School of Chemical Biological and Environmental Engineering

CHE 331 Transport Phenomena I

Dr. Goran Jovanovic

(please turn cell-phones OFF)


Course Goals

•  To apply the principles of material & energy balances, and momentum transfer to analysis and design of simple operations which involve fluid flow.

•  To develop the awareness of design criteria, types of equipment, and important process variables that are characteristic for chemical and biological processes.

•  To encourage, develop, and animate students' ability for creative thinking in solving engineering problems.

•  To develop ability to synthesize and integrate information and ideas.

•  To develop openness for new ideas. •  To develop student's ability to work productively with others. •  To advance students' competence in effective presentation

of technical subjects using verbal, graphical, and written forms of communication.


By the end of this course, students will be able to:

1. Solve simple fluid static problems including application of surface tension.

2. Develop and apply the mechanical energy balance equation for flowing streams, and in the design of flow through granular media.

3. Apply the Shear rate - Shear stress relationship to discriminate among Non-Newtonian fluids.

4. Derive differential form of the continuity and the momentum equations for flowing streams; Navier-Stokes equation.

5. Apply Navier-Stokes equations to find the velocity profile, flow rate, and pressure drop in simple flow situations.

6. Develop mathematical models & solve problems involving various fluid flow situations.

Course Learning Objectives


1. Methodology for Creating Mathematical Models related to Flow of fluids. Formulation of Initial and Boundary Value Problems;

2. Fluid Static, Fluid Dynamics, and Surface Tension; 3. Macroscopic Balances – Mechanical Energy Balance

Equation; 4. Non-Newtonian Fluids; Viscosity of Gasses and liquids; 5. Flow Through Porous Media, Packed beds and Fluidized

beds; 6. Fluid Kinematics; 7. Derivation of the Continuity and the Momentum Equation

using Differential volume analysis. Navier-Stokes Equations for Newtonian isothermal flow;

8. Applications of Navier-Stokes equations in simple geometric structures and flow situations.

TOPICS


GRADING

Homework 30% Tests 35% Final Exam 25%

Studio 10%

Total Score = HHmax

∗0.30 + TTmax

∗0.35 + FFmax

0.25 + SSmax

∗0.10

If you earn bonus points:

Total Score = H + hbHmax

∗0.30 + TTmax

∗0.35 + FFmax

0.25 + SSmax

∗0.10

Thus Total Score is a number: 0 < Total Score < 1


GRADING (cont.)

Total Score ≥ 0.950 ! Grade A 0.950 >Total Score ≥ 0.900 ! Grade A- 0.900 >Total Score ≥ 0.866 ! Grade B+ 0.866 >Total Score ≥ 0.833 ! Grade B 0.833 >Total Score ≥ 0.800 ! Grade B- 0.800 >Total Score ≥ 0.766 ! Grade C+ 0.766 >Total Score ≥ 0.733 ! Grade C 0.733 >Total Score ≥ 0.700 ! Grade C-


Instructor: Dr. Goran Jovanovic, 307 Gleeson Hall, [email protected]

Lectures Monday: 11:00 a.m. - 12:00 p.m. Wednesday: 11:00 a.m. - 12:00 p.m. Friday 11:00 a.m. - 12:00 p.m.

Office Hours Monday: 12:00 p.m. - 01:00 p.m. Wednesday: 12:00 p.m. - 01:00 p.m.

and by appointment

Office Hours


=

Apply the mass conservation

law:

- 0 -

Fin=1.0 [m3/hour]

D=1.0 [m]

Input - Output = Accumulation [kg]

Finρ ⋅ Δt Vρt+Δt Vρ

t

Mathematical Modeling


Fin ⋅ ρ ⋅ Δt = V ⋅ ρ t=t+Δt −V ⋅ ρ t=t

Fin ⋅ ρ = V ⋅ ρ t=t+Δt −V ⋅ ρ t=t

Δt

limΔt→0

Fin ⋅ ρ[ ] = limΔt→0

V ⋅ ρ t=t+Δt −V ⋅ ρ t=t

Δt⎡

⎣⎢

⎤

⎦⎥

m3

s⎛⎝⎜

⎞⎠⎟

kgm3

⎛⎝⎜

⎞⎠⎟ s( ) = m3( ) kg

m3⎛⎝⎜

⎞⎠⎟



Fin ⋅ ρ =d V ⋅ ρ( )dt

= ρ dVdt ⇒ Fin =

dVdt

… and if density is constant,

Fin =dVdt

Fin =d πD2

4h

⎛⎝⎜

⎞⎠⎟

dt→



→ Fin =πD2

4dhdt

→ dhdt

= 4FinπD2

→ dh = 4FinπD2 dt → dh∫ = 4Fin

πD2 dt∫

→ dhh=0

h=h

∫ = 4FinπD2 dt

t=0

t=t

∫ → h = 4FinπD2 t



The mathematical model in differential form is:

Fin =πD2

4dhdt

With the initial condition:

at t=0 h=0



[email protected]

h = 4FinπD2 t

Time t [hour]

Hei

ght h

[m]

slope = 4FinπD2

The mathematical model in integral form is:


dr. goran jovanovic - oregon state...

Documents