Restriction
Orifice Plate Thickness Calculation
While
calculating the thickness, it is advisable to follow 'Flowel' specified
thickness for computer calculation or to use R.W. Miller's equation
for manual calculation, highlights Meghdut Manna.
Thickness
of orifice plate is generally selected as per the guidelines given by
ISO-5167 / ISA-RP-3.2 / API-2530 / IS-2952 / ASME-MFC-3M. In fact, these
are meant for measurement orifice plate. In general, these standards
specify the following thickness depending on the line sizes only(Note
1).
|
Line
Size in Inch
|
Thickness
in mm
|
|
<
6
> 8 < 16
> 18
|
3.18
6.125
9.53
|
None of the above standards give any clear guideline for the thickness
of the restriction orifice plate, which leads us to follow the same,
as given for measurement orifice plate. This is an attempt to highlight
the importance and calculation guidance for the restriction orifice
plate thickness.
Importance of Thickness
Calculation Orifice plate thickness should be sufficient
to prevent the plate from undue stress under operating conditions for
restriction orifice and should not exceed the deflection required from
the metering standards for measuring orifice plates. If the differential
pressure across the orifice increases, the plate tends to deform elastically.
For measurement orifice plate, beyond a certain point, this deformation
will result in a shift in the characteristics of the meter, resulting
in increased measurement uncertainty. AGA -3, Appendix- 2-F (American
Gas Association) provides the guidelines for using high differential
for measurement natural gas with orifice plate. This maximum limit is
dependent upon the thickness, diameter and b ratio. The relationship(Note
2) demonstrates that for a given b ratio, the allowable differential
pressure is a function of the diameter and plate thickness. For a given
line size, there is always a maximum allowable differential pressure
on the plate e.g. for 2" size, the maximum allowable DP is 1000
MPa in WC ("2.5 bar) with minimum thickness of 3.2 mm.
Sonic Flow and Restriction Orifice Thickness
Thickness of the restriction orifice plate needs
careful consideration as the differential pressure across the orifice
plate is generally higher as compared to measurement orifice, particularly
for the sonic flow application where high differential pressure is desired
to be maintained to achieve the sonic condition(Note 3).
Sonic flow through restriction orifice plate in quite common in chemical
process plants as well as oil and gas industries. The design of the
restriction orifice plate will be such that sonic flow is maintained(Note
4). Restriction orifice bore selection(Note 5) for sonic conditions
are generally done on trial and error basis in process simulation software.
Upstream pressure of the orifice plate is calculated in such a way that
flow through the restriction orifice is sonic until the vessel pressure
has reached 50% of its design pressure. When a gas flows from one point
to other through an orifice, it is obvious that as the down pressure
is reduced, the flow rate steadily increases until the velocity at the
orifice reaches sonic velocity. Any further reduction of downstream
pressure, the flow rate is unaffected and the excess pressure is dissipated
in shock waves downstream of the orifice. It should be noted that square
root formula used for normal orifice flow measurement is not valid for
sonic flow.
Thickness Calculation Formula
Thickness of any orifice plate, as defined in the
R.W.Miller's handbook, depends on the following parameters l Line size
Differential Pressure
Yield Stress of Plate
ß Ratio
cont....
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