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Chapter 10 Laminar Flow
which shows that for laminar flow through circular pipe, velocity of flow varies parabolically and the
surface of velocity distribution is a paraboloid of revolution.
This equation is called Hagen Poiseulle equation.
. ..............(viii)
........ ...(ix)
so mean velocity of flow occurs at a radial distance of 0.707 R from the centre of the pipe.
Laminar Flow Between Parallel Plates
Case 1 : Both plates are at Rest
distribution is given by
...(i)
...(ii)
...(iii)
........(iv)
By comparing (ii) and (iv)
....(v)
...(vi)
...(vii)
...(viii)
Case 2 : When one Plate Moving And Other at Rest is known as COUETTE Flow
Expression For Head Loss
(a) In case of laminar flow through pipes :
(b) In case of laminar flow through parallel plates :
(c) In case of open channel flow :
(d) The general equation is
where,
h_{f} = loss of head in length L
V = mean velocity of flow
D = characteristic dimension representing the geometry of passage.
k = constant, whose value depends upon the shape of passage.
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