UNIT II
By
Dr. A. Asha, Prof/Mech
Kamaraj College of Engineering & Technology
FLOW THROUGH CIRCULAR PIPES
FLOW THROUGH CIRCULAR PIPES
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
FLOW THROUGH CIRCULAR PIPES
Equation 9.1
FLOW THROUGH CIRCULAR PIPES
FLOW THROUGH CIRCULAR PIPES
FLOW THROUGH CIRCULAR PIPES
Integrating the above equation with respect to r
Equation 9.2
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
FLOW THROUGH CIRCULAR PIPES
• The Velocity is maximum when
r= 0
• The maximum velocity Umax
• The fluid flowing/sec through
the elementary ring is
FLOW THROUGH CIRCULAR PIPES
FLOW THROUGH CIRCULAR PIPES
FLOW THROUGH CIRCULAR PIPES
• Drop of pressure over the length of the pipe
FLOW THROUGH CIRCULAR PIPES