1. MAE 5130: VISCOUS FLOWS Homework #2 Solutions September 26, 2006
Mechanical and Aerospace Engineering Department
Florida Institute of Technology
D. R. Kirk

2. PROBLEM 2-7, STREAMLINE PATTERN: r=1.2, C=1

3. PROBLEM 2-7, VELOCITY COMPONENTS: r=1.2, C=1

4. PROBLEM 2-7, VELOCITY FIELD: r=1.2, C=1

5. PROBLEM 2-7, PRESSURE FIELD: r=1.2, C=1

6. PROBLEM 2-8, STREAMLINE PATTERN: MATLAB FUNCTION
Physical interpretation of flow field
Flow caused by three intersecting streams
Flow against a 120º corner
Flow around a 60º corner
Patterns (2) and (3) would not be realistic for viscous flow, because the ‘walls’ are not no-slip lines of zero velocity

7. PROBLEM 2-8, STREAMLINE PATTERN: MATLAB FUNCTION

8. PROBLEM 2-8, u AND v VELOCITY COMPONENTS

9. PROBLEM 2-8, VELOCITY MAGNITUDE

10. PROBLEM 2-8, STATIC PRESSURE FIELD

11. PROBLEM 2-8, TOTAL PRESSURE FIELD: P + ½rV2 = P + ½r(u2 +v2)½

12. PROBLEM 2-15

13. PROBLEM 2-15 Inviscid solution shown for C=1
For boundary layer solutions, 0.01 < e < 0.2, increments of 0.01 shown
Inviscid Solution
Boundary Layer Solutions
Arrow in direction of increasing e

14. COMBINED PLANE COUETTE AND POISEUILLE FLOW: m=1
COMBINED PLANE COUETTE AND POISEUILLE FLOW: m=1.73x10-5 N s/m2, h=10 cm, Vp=10 m/s