Flow Through Pipes

1. UNIT II
Prepared by
S. Muthu Natarajan M.E., (Ph.D.),
Assistant Professor
Kamaraj College of Engineering and Technology
Madurai

2. FLOW THROUGH CIRCULAR PIPES

3. FLOW THROUGH CIRCULAR PIPES
• Consider a horizontal pipe of radius “R”
• Consider a fluid element of radius “r” sliding in the viscous fluid with
a thickness dr

4. FLOW THROUGH CIRCULAR PIPES
Equation 9.1

5. FLOW THROUGH CIRCULAR PIPES

6. FLOW THROUGH CIRCULAR PIPES

7. FLOW THROUGH CIRCULAR PIPES
Integrating the above equation with respect to r
Equation 9.2

8. FLOW THROUGH CIRCULAR PIPES
• Where C is a constant and the
value is obtained using the
boundary condition
• When u=0, r =R,
Substituting the value of C in equation
9.2
Equation 9.3

9. FLOW THROUGH CIRCULAR PIPES
• The Velocity is maximum when
r= 0
• The maximum velocity Umax
• The fluid flowing/sec through
the elementary ring is

10. FLOW THROUGH CIRCULAR PIPES

11. FLOW THROUGH CIRCULAR PIPES

12. FLOW THROUGH CIRCULAR PIPES
• Drop of pressure over the length of the pipe

13. FLOW THROUGH CIRCULAR PIPES