#### Denn Process Fluid Mechanics Solutions Manual

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10.301 Spring 2014 INTRODUCTION psdoyle frbrushett psvirk /140208/ Year: U(2) Units: 12 ( Lec-Lab-Homework, hrs, = 4-0-8) Prereq: 18.03, 10.10 URL: Stellar Site: OBJECTIVES A quantitative introduction to the theoretical and physical principles in fluid mechanics that are of fundamental importance to chemical engineers. Four areas are addressed, namely: (1) Fluids and Flow Phenomena; Dimensional Analysis, Pipe Flow and External Drag Relations. (2) Statics and Microscopic Balances; Stress, Navier-Stokes Equation, Laminar Flows, Inviscid Flows. (3) Macroscopic Balances; Bernoulli's Equation, Linear Momentum Conservation, Applications. (4) Real Flows; Laminar Boundary-Layers, Turbulent Flow Structure, Reynoldsâ€™ Equations, Wall turbulence.

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OUTLINE METHODS The preceding principles will be illustrated by lectures, examples, and homework problems that are both theoretical and practical in nature. The weekly class cycle, beginning on day T, say, is of the form: T Lecture, introducing a topic T. R Lecture, continuing on T. Problem set concerning T handed out in class. M Recitation sections discuss T, often using simple problems from textbook. T Lecture on topic T+1.

R Problem set T due. Lecture on topic T+1. Problem set concerning T+1 handed out in class. TEXTBOOKS Denn, M.M.: Process Fluid Mechanics, Prentice-Hall, 1980. Still the best intro to chemical engineering fluid mechanics; attempts to be both relevant and rigorous. Deen, W.M.: Chemical Engineering Fluid Mechanics, 411pages on Stellar Site, 2013.

Brand new, by a distinguished, longtime 10.301 instructor. Additional References (Optional) Middleman, R.: An Introduction to Fluid Mechanics, Wiley, 1998. Emphasizes analytic, microscopic aspects of fluid mechanics. Attractive, physically insightful, chem-e flavored examples. Fay, J.A.: Introduction to Fluid Mechanics, MIT Press, 1995. Balanced blend of theory with physical intuition. Copious, well-explained, modern mech- and aero-e type examples.

Bird, R.B.; Stewart, W.E.; Lightfoot, E.N.: Transport Phenomena, Wiley, 1960. Classic chem-e undergraduate transport text.

Many worked examples. Priceless appendix on vectors and tensors. CLASSES Lec TR12-1:30; all in Rm 66-110.

Rec 1-4 M11,M12 in Rooms 66-154 and 66-160 (Note 4 rec secs, not 6) is on a separate sheet below. INSTRUCTORS & TEACHING ASSISTANTS Patrick Doyle pdoyle Rm E17-504f Office Hrs: by appointment Fikile Brushett brushett Rm 66-558 Office Hrs: by appointment Preetinder Virk psvirk Rms 66-157; E34-454; 253-3177 Office Hrs: by appointment Rahul Misra rpmisra Rm NW86-726 Office Hrs: TW7:30-9:30 in Room TBA for all TAs. Karthik Narsimhan knarsimh Rm NW86-664C Lu Yang Luyang Rm NW86-258B EXAMS & GRADING Homework, assigned weekly during term, ~10 Problem Sets (~2 Problems each). Counts as 100 points, max (20% of total). 2 Quizzes, 1 hr each, during term. Count equally at 100 points each, max, (20% each).

1 Final, 3 hr, during final exam period. Counts as 200 points, max (40%). Use of the textbooks and class materials will be permitted in all quizzes and in the final exam.

Course Grade will be determined from the sum [h+q1+q2+f], where the elements respectively represent scores obtained in homework, quizzes, and the final. Typical percentage grade distributions in the last few years were: 30 A, 44 B, 23 C, 2 D, 1 F. HOMEWORK GUIDELINES (Abbreviated; see Stellar site for details) Problem sets will be due at the beginning of class on the date specified. Problem solutions will be distributed, by ei upload to Stellar or hardcopy, at the end of class on the problem due date. No credit will be given for homework turned in after the due date and time. Write your name on each sheet of paper. Be sure all sheets for any single problem are stapled or clipped together.

State both the problem set and problem number on your solution. POLICY ON COLLABORATION AND ORIGINALITY You are encouraged to discuss concepts and techniques underlying homework problems with fellow students.

However, your final solutions should be your own original work. Jointly prepared solutions, and solutions closely resembling those available online or elsewhere, are unacceptable. When in doubt, consult with Professors Doyle, Brushett or Virk first. CLASS SCHEDULE (Abbreviated, see Stellar Site for details) Lec Date Day Subject Read (Dean) Read ( Denn) HW Due 1 4-Feb-14 T Intro, objectives, outline Ch1 p1-35 2 6-Feb-14 R Fluid mech, fluid props, dimensional analysis Ch1 p1-35 pp.

3-24, 29-32 10-Feb-14 M Recitation 3 11-Feb-14 T Fluid friction in pipes Ch2 p1-29 pp. 33-39 4 13-Feb-14 R Pipe flow calculations Ch2 p1-29 pp. 39-49 X 17-Feb-14 M Holiday 18-Feb-14 T Recitation (M schedule of classes) 5 20-Feb-14 R Drag on submerged objects Ch3 p1-14 pp. 52-73 X 24-Feb-14 M Recitation 6 25-Feb-14 T Flow in porous media, fluidization, entrainment Ch3 p15-35 pp. 52-73 7 27-Feb-14 R Fluid statics: micro. Force balance Ch4 p1-12 X 3-Mar-14 M Recitation 8 4-Mar-14 T Pressure forces and buoyancy, surface tension Ch4 p13-21 9 6-Mar-14 R Microscopic mass balance Ch5 p1-6, 15-24, Ch6 pp1-7 pp. 141-146 10-Mar-14 M Recitation X 9 11-Mar-14 T EXAM 1, Room 50-340 Walker 10 13-Mar-14 R Microscopic momentum balance, viscous stress tensor Ch5 p6-9, Ch6 p9-39 pp.

147-163 17-Mar-14 M Recitation 11 18-Mar-14 T Fluid deformation, Navier-Stokes eq. Ch5 p6-9, Ch6 p9-39 12 20-Mar-14 R Exact solutions Ch1 p1-35 pp. 169-194 X 24-Mar-14 28-Mar Spring Vacation 31-Mar-14 M Recitation 13 1-Apr-14 T Order of Magnitude Analysis Ch8 p1,32-37 14 3-Apr-14 R Lubrication flow Ch4 p1-14,37-38 X 7-Apr-14 M Recitation 15 8-Apr-14 T Creeping flow, Inviscid flow Ch8 p14-27 16 10-Apr-14 R Pseudo-steady flow Ch4 p27-32 pp.

200-208 X 14-Apr-14 M Recitation 15-Apr-14 T EXAM 2, Room 50-340 Walker 17 17-Apr-14 R Laminar boundary layer flow pp. 277-302 21-Apr-14 M 22-Apr-14 T 18 24-Apr-14 R Macroscopic balances: mass and energy. 2016 Softail Service Manual here. 79-94 X 28-Apr-14 M Recitation 19 29-Apr-14 T Bernoulli's equation, macro momentum balance pp. 95-101 20 1-May-14 R Applications of macroscopic balances pp. 105-132 X 5-May-14 M Recitation 21 6-May-14 T Turbulent flow, introduction, physics, scales pp. 307-327 22 8-May-14 R Kolmogorov's hypothesis, turbulent energy cascade X 12-May-14 M Recitation 23 13-May-14 T Reynoldsâ€™ equations, theoretical treatments of turbulence 24 15-May-14 R Wall turbulent flows, pipes, B/Ls 19-May-14 23-May FINAL EXAM, Text ( Denn) and all notes allowed.

Date, Room TBA Lec Date Day Subject Read (Dean) Read ( Denn) HW Due Last Mod: psvirk 2014 02 08 ~13:00.