1. Pharos University ME 253 Fluid Mechanics II
Differential Analysis of Fluid Motion
Lecture # 3 : Part # 1
Continuity Equation and Stream Function

2. Main Topics Conservation of Mass
Stream Function for Two-Dimensional Incompressible Flow

3. Conservation of Mass
Basic Law for a System

4. Conservation of Mass
Rectangular Coordinate System

5. Conservation of Mass
Rectangular Coordinate System

6. Conservation of Mass Rectangular Coordinate System
“Continuity Equation”

7. Conservation of Mass
Rectangular Coordinate System
“Del” Operator

8. Conservation of Mass
Rectangular Coordinate System

9. Conservation of Mass Rectangular Coordinate System
Incompressible Fluid:
Steady Flow:

10. Conservation of Mass
Cylindrical Coordinate System

11. Conservation of Mass
Cylindrical Coordinate System

12. Conservation of Mass
Cylindrical Coordinate System
“Del” Operator

13. Conservation of Mass
Cylindrical Coordinate System

14. Conservation of Mass Cylindrical Coordinate System
Incompressible Fluid:
Steady Flow:

15. Stream Function for Two-Dimensional Incompressible Flow
Two-Dimensional Flow
Stream Function y

16. Stream Function for Two-Dimensional Incompressible Flow
Cylindrical Coordinates
Stream Function y(r,q)