ChEN 307 – Fluid Mechanics



ChEN 307 – Fluid Mechanics

Course Description – Fall Semester 2000

Instructor: Ron Miller

AH 441

(303) 273-3892

rlmiller@mines.edu

Office hours: MWF 1-2 pm; MW 2-3 pm

Text: Fluid Mechanics for Chemical Engineers, Wilkes, Prentice-Hall, 1999.

(Please bring your text to each class – we will often use figures and charts in class.)

Course Goal:

The goal of this course is to introduce you to the fundamental concepts of engineering fluid mechanics by studying both empirical and theoretical approaches to analysis of momentum transport systems. We will concentrate on learning concepts and applications of fluid mechanics which will be valuable to you as an engineer. Note that ChEN 201 and MACS 315 are prerequisites for this course.

Teaching and Learning Philosophy:

As juniors, you need to become less dependent upon the instructor for your learning (after all, you’ll be graduating in a couple of years and I can’t go with you!). Therefore, you are responsible for completing all reading assignments prior to class attendance so that you are ready to participate in class activities. My job is to promote your learning, not repeat exactly what the text says (i.e. I will not be lecturing much in this class nor will I cover all the topics you will be responsible for). In class, we will work on exercises and problems and will discuss questions and sort out points of confusion. Be prepared for an active, working class session each day.

Learning Objectives:

Upon successful completion of this course, you should be able to:

❑ Define shear stress, shear rate, and absolute viscosity and identify common classes of fluids (e.g. newtonian, bingham plastic, pseudoplastic, dilatant).

❑ Write and apply macroscopic mass, energy, and momentum balances on chemical engineering flow processes and systems.

❑ Compute average velocity in a conduit given an analytical velocity profile or experimental velocity profile point values.

❑ Use the extended Bernoulli equation and macroscopic energy balance to evaluate frictional losses and size common fluid flow devices (e.g. pumps, piping, valves).

❑ Describe the concept of choking in compressible flow and estimate pressure drop for compressible pipe flow of an ideal gas under isothermal and adiabatic expansion.

❑ Apply the concept of drag coefficients to evaluate the drag force and settling velocity for spherical and non-spherical particles.

❑ Compute the pressure drop through a packed bed and estimate the minimum fluidization velocity of the bed.

❑ Describe boundary layer development for flow over a flat plate including velocity profile and boundary layer thickness and describe the phenomenon of pipe entrance length using boundary layer development.

❑ Develop microscopic mass and momentum balances for chemical engineering systems. Use the Navier-Stokes equations and equation of continuity to evaluate shear stress profile, velocity profile, and friction factor for simple one-dimensional flows. Perform scaling analysis on the Navier-Stokes equations to non-dimensionalize them.

Grading: 15% homework

20% design projects/computer programs

35% hour exams (2)

30% final exam

Homework: Completing all your homework assignments is absolutely required to learn the course material. Problem sets are carefully designed to promote learning and will not consist of “busy work” or “drill” problem sets. Homework will be assigned about once per week and will be due by noon on the due date (at least two class periods after being assigned). To help you keep from falling behind, no late homework will be accepted. Answers (not solutions) to the problems will be provided with each assignment and complete solutions will be posted after the assignment due date. Very few students succeed in this course without regularly completing the homework; to encourage you to do well on the homework, you must have a homework score of 60% or greater to pass the course.

Please start each problem on a separate sheet of paper and write on only one side of the page. Staple your solution pages together. Points will be deducted for sloppy and unprofessional work.

Projects/computer programs: Two or three projects will be assigned; each will require more involved computations or analysis than homework problems. Unless otherwise specified, projects will be completed individually.

Hour exams: Exams will emphasize topics covered in class and homework. To reduce the stress of time constraints, exams will be administered in the evening with two hours allowed to complete each exam. Tentative exam dates are:

Week of October 2nd

Week of November 13th

Final exam: The final exam for this course will be comprehensive and is scheduled for Wednesday, December 13th from 8-10 am.

Tentative Class Schedule

|Week |Dates |Topics |Text Chapter(s) |

|1 |8/22 – 8/25 |Introduction to fluid mechanics; review units & dimensions; fluid properties |1 |

|2 |8/28 – 9/1 |Applications of fluid statics |1 |

|3 |9/4 –9/8 |Review of mass and energy balances |2 |

|4 |9/11 – 9/15 |Introduction to momentum balances |2 |

|5 |9/18 – 9/22 |Applications of Bernoulli equation |2,3 |

|6 |9/25 – 9/29 |Applications of Bernoulli equation (cont.) |2,3 |

|7 |10/2 – 10/6 |Flow in pipes; exam 1 |3 |

|8 |10/9 – 10/13 |Flow in pipes (cont.) |3 |

|9 |10/16 – 10/20 |External flows |4 |

|10 |10/23 – 10/27 |Design of pumps |4 |

|11 |10/30 – 11/3 |Compressible flow in pipes |3 |

|12 |11/6 – 11/10 |Differential equations of fluid mechanics |5 |

|13 |11/13 – 11/17 |Solution of viscous flow problems; exam 2 |6 |

|14 |11/20 – 11/22 |Solution of viscous flow problems (cont.) |6 |

|15 |11/27 – 12/1 |Boundary layer flows |8 |

|16 |12/4 –12/6 |Boundary layer flows (cont.) |8 |

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