How Does an Orifice Flow Meter Work: Calculating Pressure Drop Head Loss

How Does an Orifice Flow Meter Work: Calculating Pressure Drop Head Loss

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How Does an Orifice Flow Meter Work: Calculating Pressure Drop Head Loss


Quick Answer: An orifice flow meter forces liquid, gas, or steam through a sharp-edged plate with a smaller bore. The meter measures the pressure difference between the upstream side and the downstream side. Flow rate follows a square root relationship with this differential pressure. Permanent head loss is a fraction of the differential pressure, often 40 to 70 percent depending on pipe size, bore size, and beta ratio.


What Happens Inside the Pipe


An orifice flow meter starts with a metal plate installed between two flanges. The plate has a concentric hole. Upstream of the plate, the fluid velocity is low and static pressure is high. At the bore, velocity increases and static pressure drops. A low pressure zone forms just downstream of the plate at the vena contracta. Two pressure taps send the upstream and downstream pressures to a DP transmitter. The transmitter outputs a 4 to 20 mA HART signal or a Modbus signal to a flow computer or PLC.


The beta ratio is the bore diameter divided by the pipe diameter. A beta ratio of 0.6 on a DN100 line means the hole diameter is 60 mm. Beta ratio changes the permanent pressure loss, the differential pressure span, and the accuracy of the flow measurement.


Pressure Drop vs Permanent Head Loss


In practice, many engineers confuse the differential pressure reading with permanent head loss. The DP reading is the difference between the high pressure tap and the low pressure tap. Some of that pressure recovers downstream. Permanent head loss is the part that never recovers. For an orifice plate, this loss is high compared to a Venturi tube or cone meter.


A typical beta ratio of 0.6 on a DN100 line can produce a permanent pressure loss equal to 50 to 60 percent of the DP reading. If the DP transmitter reads 25 kPa, the differential head is about 2.55 m of water column at 25 °C and 1 cP viscosity. Multiply that by a loss fraction of 0.55 and you get about 1.4 m of permanent head loss. That means higher pump energy cost. We have seen this on customer sites many times.


Orifice Flow Equation and Discharge Coefficient


The main equation used on site is Q = C d A sqrt (2 delta P / rho). A is bore area in m2. delta P is differential pressure in pascals. rho is fluid density in kg/m3. C d is the discharge coefficient. For a new 316L orifice plate with sharp edges and a beta ratio from 0.2 to 0.75, C d is usually between 0.60 and 0.62. The full ISO 5167 equation adds thermal expansion and velocity of approach factors.


Most engineers skip this part during quick checks. They use a DP flow calculator from the transmitter vendor or a spreadsheet. Here is the thing: a small change in bore diameter changes flow a lot because the bore area is squared in the calculation. That is why plate inspection and edge sharpness matter for custody transfer and process control.


How to Calculate Head Loss in a Real Pipe


Imagine a DN80 carbon steel pipe carrying water at 25 °C. The pipe diameter is 80 mm. An orifice plate has a bore of 48 mm, so beta is 0.6. The DP transmitter reads 20 kPa. Water density is 997 kg/m3 and viscosity is about 1 cP. Differential head is 20000 divided by 997 times 9.81, about 2.04 m. If permanent loss fraction is 0.55, permanent head loss is 1.12 m. At 200 m3/h flow, that can add about 1 kW of pump shaft power at 0.65 pump efficiency.


For steam or

How Does an Orifice Flow Meter Work: Calculating Pressure Drop Head Loss
gas service, a PT100 temperature sensor and a pressure transmitter feed a flow computer for density compensation. Without temperature and pressure compensation, a steam mass flow reading in kg/h can be off by several percent for even a small pressure swing.


Selecting Orifice Plates for Industrial Applications


Orifice plates are cheap and tolerate high temperatures. They work well in steam lines, natural gas custody transfer, and clean water networks. For dirty liquids, the small pressure taps can plug. In those cases we suggest an electromagnetic flow meter or an ultrasonic flow meter. For an electromagnetic flow meter, the liquid must have a minimum conductivity around 5 µS/cm.


A paint manufacturer in Southeast Asia replaced an orifice meter on a solvent line because the taps clogged every two weeks. That site now uses an oval gear flow meter for diesel and a Coriolis mass flow meter for solvent batching. The plant reduced maintenance hours and improved batch accuracy.


Material options include 316L stainless steel, Monel, PTFE seals, and Hastelloy. Pressure ratings can go from PN16 to PN100. Tapping styles follow ISO 5167. Corner taps suit small pipes below DN50 and down to DN15. Flange taps are common from DN50 to DN400. D and D/2 taps are used in clean gas lines. For gas custody transfer in ATEX Zone 1 areas, use a DP transmitter with flameproof or intrinsically safe rating.


Silver Instruments Supply and Support


Silver Automation Instruments supplies flow meters for customers in oil and gas, water and wastewater, chemical, food and beverage, and marine industries. If you need a replacement for an existing orifice plate or a complete DP flow measurement package, send us the pipe size in DN, fluid type, flow range, pressure in bar, and temperature in °C. Also send flow range in kg/h for steam or m3/h for liquid.


Contact Silver Instruments: Tel +86-25-68650347, WhatsApp +86-25-52155837, WeChat +86 15365082610, flow-meter.com.au.


FAQ: Orifice Flow Meter Pressure Drop


What is the difference between differential pressure and permanent head loss? Differential pressure is the measured pressure drop between the two taps. Permanent head loss is the pressure that does not recover downstream of the plate. For orifice meters, permanent loss is usually 40 to 70 percent of the DP reading.


How do I calculate flow rate from an orifice pressure drop? Use Q = C d A sqrt (2 delta P / rho). You need the bore area, discharge coefficient, fluid density, and differential pressure in consistent SI units. For steam or gas, add pressure and temperature compensation.


What beta ratio should I choose for low head loss? Choose a beta ratio between 0.6 and 0.7. Higher beta reduces permanent pressure loss but weakens the differential signal. Below 0.3, accuracy often suffers and permanent loss becomes too high.


Can an orifice flow meter be used on dirty liquid? It can work for short periods, but the pressure taps and hole edges are sensitive to solids and buildup. For dirty water, sludge, or crude oil, an electromagnetic flow meter or a wedge meter may be a better fit.


What pipe sizes are practical for orifice flow meters? Orifice plates are used from DN15 to DN1000 and above. Below DN15, machining tolerance and edge sharpness errors become large. Above DN400, flange tapping and plate flatness need special care.


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