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AERE 541, 2010 Fall MWF 1:10PM - 2:00PM in Howe 1220

Incompressible Flow (AER E 541) COURSE POLICY

Instructors: Dr. Hui HU Department of Aerospace Engineering Iowa State University Office: Room 2251, Howe Hall Tel: 515-294-0094 Email: [email protected]

Office Hours: Monday 2:10pm – 3:00 pm Wednesday 2:10pm – 3:00 pm Friday 2:10pm – 3:00 pm

Reference books: Pijush K. Kundu and Ira M. Cohen “”, Academic Press Ronald L. Panton, “Incompressible Flow”, 3rd edition, Wiley

Homeworks: Available at http://www.public.iastate.edu/~huhui/teaching/2010F/AerE541.html

Grading policy: Homework 30 % First exam 20 % Second exam 20 % Final exam 30 % Total 100 %

Course Outline: See course syllabus attached.

If a student has a disability that qualifies under the Americans with Disabilities Act and Section 504 of the Rehabilitation Act and requires accommodations, he/she should contact the Disability Resources (DR) office for information on appropriate policies and procedures. DR is located on the main floor of the Student Services Building, Room 1076; their phone is 515-294-6624.

AERE 541, 2010 Fall MWF 1:10PM - 2:00PM in Howe 1220

COURSE SYLLABUS

Date Period Topics Due Date of Homework

Week 1 ··································································································································· 23 Aug. 1 M Syllabus, Policies and Introduction 25 Aug. 2 W Review of Vector Algebra and Calculus 27 Aug. 3 F Curvilinear Coordinate Systems Week 2 ··································································································································· 30 Aug. 4 M Scale Factor, and Derivatives of Unit Vectors 01 Sept. 5 W Gradient of a Scalar Field 03 Sept. 6 F of Velocity Field Week 3 ··································································································································· 06 Sept. M No class (Labor Day Break) 08 Sept. 7 W of a Velocity Field 10 Setp. 8 F Stoke Theorem Week 4 ··································································································································· 13 Sept. 9 M Descriptions of Flow Motions 15 Sept. 10 W Substantial Derivatives and Accelerations of a Flow Particle 17 Sept. 11 F Reynolds Transport Theorem Homework set #1 Week 5 ··································································································································· 20 Sept. 12 M Mass Conservation Equation 22 Sept. 13 W Conservation Equation 24 Sept. 14 F N-S Equations: General Form Week 6 ··································································································································· 27 Sept. 15 M N-S Equations: Cartesian and Cylindrical Forms 29 Sept. 16 W Simplified N-S Equations: Euler Equation 01 Oct. 17 F First Exam Week 7 ··································································································································· 04 Oct. 18 M and Potential Function 06 Oct. 19 W Integral of Euler Equation in an Irrotational Flow 08 Oct. 20 F Integral of Euler Equation along a Streamline Homework set #2 Week 8 ··································································································································· 11 Oct. 21 M Kelvin’s Theorem 13 Oct. 22 W Rate of Change of Vortex Vorticity in an Ideal Fluid 14 Oct. 23 F Uniform Flow Week 9 ··································································································································· 18 Oct. 24 M Point Source flow 20 Oct. 25 W Uniform Flow +Point Source flow 22 Oct. 26 F Doublet Flow

Week 10 ··································································································································· 25 Oct. 27 M Flow around a Sphere 27 Oct. 28 W Theory of Complex Variables 29 Oct. 29 F Cauchy-Riemann Conditions Homework set #3 Week 11 ··································································································································· 01 Nov. 30 M 2-D Doublet 03 Nov. 31 W 2-D Vortex 05 Nov. 32 F Flow around a Circular Cylinder Week 12 ··································································································································· 08 Nov. 33 M Flow around a Spinning Circular Cylinder 10 Nov. 34 W Force and Momentum on a Spinning Circular Cylinder 12 Nov. 35 F Second Exam Week 13 ··································································································································· 15 Nov. 36 M Airfoils: Kutta Condition and Start Vortex 17 Nov. 37 W Lift, Drag and Moment Coefficients of Airfoils 19 Nov. 38 F Jankowski Transformations Homework set #4 Week 14 ··································································································································· 22 Nov. M Thanksgiving Break 24 Nov. W Thanksgiving Break 26 Nov. F Thanksgiving Break Week 15 ··································································································································· 29 Nov. 39 M Thin Airfoil Theory 1 01 Dec. 40 W Thin Airfoil Theory 2 03 Dec. 41 F Thin Airfoil Theory 3 Week 16 ··································································································································· 06 Dec. 42 M Finite Wing Theory 1 08 Dec. 43 W Finite Wing Theory 2 10 Dec. 44 F Review for Final Exam Homework set #5 Week 17 ··································································································································· Final Exam