Selecting a flow divider Although
speed of rotation can be as low as 750 rpm and the maximum is 3000 rpm,
a flow divider should be selected which will pass the required flows in
the range 1000 to 2000 rpm for maximum efficiency.
1. Equal flow
dividers Having
decided on the separate flow ratio the sum of which will give total
input flow, refer to the table "Equal Element Units" to select
a divider which will pass these flow rates at or near to 1500 rpm. If
the flow is variable, calculate speed of rotation which will occur at
both maximum and minimum input and ensure that these speeds fall within
750 to 3000 rpm.
2. Unequal flow
dividers Refer
to the table of individual elements to select those which will pass the
desired flows at or near to 1500 rpm, bearing in mind that all the
elements in a flow divider rotate at the same speed. Thus having
calculated the speed of one of the elements according to its flow rate,
select the other elements to provide their required flows at that speed.
If this proves impractical repeat the process, starting with another of
the required outputs. It is not always possible to obtain precisely all
the required outputs as this would call for an infinite number of
element sizes so some compromise is often required. However, in
practical terms, any combination of outputs from 9 Lpm up to a total
input of 90 Lpm per section can be provided for.
Calculation
of Inlet Pressure The
product of inlet pressure and flow is equal to the sum of the products
of outlet pressures and flows plus the pressure required to cause the
flow divider to rotate.
i.e
PQ = P1Q1 + P2Q2 +
P3Q3 + PR
when
P= inlet pressure
Q = inlet flow
P1,P2,P3 etc. are outlet pressures Q1,Q2,Q3
etc. are the respective outlet flows
Tests have shown that
PR varies slightly according to the size and number of elements, but for
practical purposes it can be assumed to be 17 bar (250psi).
Slip Losses
Because there must be
some clearance for the gears to rotate some internal leakage is
inevitable and this causes some inaccuracy in flow diversion. The amount
of "slip" is a function of flow and pressure drop through each
section and is affected by viscosity. The losses caused by
"slip" past the gears are conducted to tank via die drain
line. Use of Flow
Divider as a Pressure Intensifier Using
an equal element unit within two sections, pressure at one of the
outlets can be approximately 2 x the inlet pressure, if the second
outlet is piped to the tank. In
the same way an "unequal" unit can be used to obtain higher
intensification. The ratio of the displacements of the flow divider
sections is a measure of the amount of intensification achieved. If
a ratio of more than 4'/2:1 is required (i.e. a higher ration
than can be obtained with an FD 2/12.30), one or more extra sections can
be added to increase the flow to tank and thereby the ratio of
intensified pressure to inlet pressure. Pressure
at the intensified pressure outlet is given by:
Po=Pi x
El + E2 + E3 etc.
E1
Where
| Po |
= |
Intensified
Pressure |
| Pi |
= |
Inlet
Pressure |
| E1 |
= |
Element
capacity of high pressure element |
| E2,E3
etc. |
= |
Element
capacities of low pressure elements |
The inlet pressure
can be calculated as for any other flow divider, (see formula under
"Calculation of Inlet Pressure") taking PI as the intensified
pressure and P2, P3 as the pressure drop on the tank connections of the
'by-pass' elements.
