 # Flow of Viscous Fluid Through Circular Pipe

### Major loss

It can be calculated with the help of the following formula h_f = Loss of head due to friction

L = length of pipe

v = mean velocity of flow

d = diameter of the pipe

f = coefficient of friction in the viscous flow

### Flow of Viscous fluid through circular pipe

##### Let us assume a circular cross section pipe of radius R . ##### The pressure at section ab is p then pressure at section cd will be (p+∂p/∂x  * dx)

Neglecting the acceleration of fluid element , by balancing net force = 0 , we get ##### Shear Stress distribution as per the above derived equation will be given by ##### τ = μ du/dy

But we are measuring y from the surface in the above equation, let’s correlate r & y ### ⇒ τ = -μ du/dr  Now, let’s calculate discharge flowing in the small thickness dr

Discharge  dQ = velocity at radius r * Area of the ring Average velocity is given by

u_avg = Q/Area of cross section ### I hope you like this section. Please share with friends and like my Facebook page and never miss an update.

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