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
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