fan horsepower equation

Total Pressure (TSP): Total static pressure is the sum of the velocity pressure and the static pressure at any point. In general, using these rules or fan laws, once we know the performance of a given fan under set specified operating conditions, variations in the performance can be predicted with reasonable levels of accuracy. • Q = Air flow rate in CFM. 1 PSI = A Head of 2.309 ft (water weight) 62.36 lbs … one horsepower we would have to turn the shaft at the rate of: (1) From this example we can derive a formula for determin-ing horsepower from speed and torque. The following equations can be used to solve problems dealing with fan laws. In the event that “safety factors” have been applied to system design calculations, it is worth noting that, based on the fan laws, a 10% increase in volume will result in a 33% increase in power requirement. Fan power is a function of both air pressure and air flow and units of horsepower is typically the brake horsepower formula for fan by October 30, 2020 To create this article, volunteer authors worked to edit and improve it over time. It is a function of the BHP and the motor efficiency. Vertical Right Axis = Brake Horsepower (BHP or KW) The fan curve graph actually demonstrates two curves related to the same fan: CFM VS SP CURVES The static pressure curve shows the relationship between the static pressure capabilities of the fan compared to the fan’s air volume flow rate at a given fan speed. Knowing the performance of a given fan under set specified operating conditions, variations in the performance can be predicted according to the fan laws. Due consideration is therefore recommended on evaluating any applied “safety factors” against the actual cost penalty incurred. References: Since its formation in 1984, Flite Software NI Ltd is recognised worldwide as a provider of quality engineering application and selection software products. • FAN EFF = Fan efficiency usually in 65–85% range. Figure 1 provides a typical illustration of fan curves. Fans operate along a performance curve as provided by a manufacturer for a given fan speed. Mechanical Horsepower (MHP): Mechanical horsepower is the measure of the power produced by the fan, a function of the air flow rate measured in cubic feet per minute (CFM) and the total static pressure (TSP) measured in “in. We have also developed bespoke products for Fortis BC, Sterling Fluids Systems & Weir Group. Fans or blowers are often installed in the ventilation or industrial process systems to overcome the resistance. For constant pressure — fan speed, air-delivery and horse-power absorbed vary inversely as the square root of the density. wg.”. The fan laws are a group of equations used to determine the effects of changes in the fan operating speed, the fan diameter or the density of the air in the system. Horsepower absorbed by fan will vary as the square root of the pressure ratio cubed. This is shown as system resistance curve SC2 where the required pressure increases for any given air flow. Furthermore, suction pressure variations, density changes, composition changes, etc are common and can also affect how the fan will operate in the system. HP=BHP*(1/(motor efficiency)) FluidFlow software considers the effects of compressibility, suction pressure variation, etc whilst also solving the fan laws ensuring a high level of accuracy. The term “system” refers to the combination of ducting, filters, grilles, dampers louvres, hoods, etc through which air is distributed. This energy is described in terms of pressure. A value of 0.9 is Using the fan law relationships, families of fan curves can be developed for operating the fan at different speeds, etc.The fan laws can also be utilized to consider test results obtained from smaller prototype fans to predict the performance of larger fans which are of course geometrically similar. Being able to read a fan curve will allow you to choose the best fan for your requirements, as long as the fan is properly tested and certified. brake horsepower formula for fan Published on 30.10.2020 by A brake is another name for a dynamometer, which is a device for measuring power. In a fixed system, it is said that the pressure required/system resistance varies with the square of the volume of air flowing through the system. Brake Horse Power - BHP. Also, it’s worth noting that changing fan accessories such as inlet dampers, inlet boxes will change the fan performance curve from the standard. BHP can be expressed as. In the fan laws outlined in Table 1 below, the subscript 1 represents the initial existing condition and subscript 2 represents the desired calculated condition. From: Plant Engineer's Handbook, 2001Related terms: Since the power delivered by engine is calculated by applying brakes, it is popularly called has brake horsepower. This duty-point is at airflow Q1 which is delivered against pressure P1. Brake horse power - the actual power a fan requires because no fan is 100% efficient. Energy is therefore required to overcome this resistance. Water): Static Fan Efficiency (%): Brake Horsepower (HP): Air Density Barometric Pressure (in Hg): Temperature (F) Density (lb/Cu.ft. Fans Fans are provided in HVAC and Refrigeration systems to distribute conditioned air, to provide ventilation or to exhaust un-wanted air. BHP=MHP*(1/(fan efficiency)) Fans and Blower Horsepower Equation. Fan power measures exactly how much energy a fan must receive in order to be able to produce a specific amount of air flow. • SP = Static pressure in-WG. Also included is information on motor efficiency and horsepower calculations as well as several motor calculations for energy efficiency and electrical troubleshooting. While performing the test, torque and RPM are known in the above equation and so we can calculate power. Velocity Pressure (VP): Velocity pressure is defined as the pressure caused solely by moving air. To determine a fan or blowers horsepower use the following equation. Fan Calculator Fan Engineering Topics & White Papers Fan Selection Software Flyers & Brochures I&M Manuals Online Training Courses Photo Gallery Product Specifications – CSI Format Revit Drawings Video Library Fan Testing & Services Air Performance The following is a generic equation to determine the required horsepower to drive the fan or blower element . Design and analyse incompressible, compressible, two-phase, non-Newtonian, settling slurry and pulp and paper stock pipe flow systems. Two common definitions used today are the mechanical horsepower (or imperial horsepower), which is about 745.7 watts, and the metric horsepower, which is approximately 735.5 … Once we have a basic understanding of these laws, the performance of a fan can be calculated for various conditions.The performance of geometrically similar fans of different sizes or speeds can be predicted with reasonable accuracy for practical purposes using the fan laws. Output Power. This equation does not compensate for temperature, density or airflow charateristics of any particular fan or blower. MHP=(CFM*TSP[in.wg])/6,356 Fan noise 7/12/2000 11.1 11. As an example, let’s consider the fan curve typically provided by a manufacturer. Fans are provided in HVAC and Refrigeration systems to distribute conditioned air, to provide ventilation or to exhaust un-wanted air. They cannot be used to predict other points on the fan’s curve. The speed ratio is 2. In general, the pressure required to overcome the resistance is referred to as static pressure. However, depending on the level of accuracy required, for many fan calculations, this may not be necessary.One point to note is that the laws apply to the same point of operation on the fan curve. This blog gives a general outline of the rules or laws which can be used to predict fan performance in a given system. 1 CuFt per Sec. FAN EQUATIONS. What horsepower motor is needed to provide air for a forced draft boiler. Brake Horsepower BHP increases as this fan approaches maximum volume as opposed to backward-curved blade centrifugal fans, which experience a decrease in BHP as they approach maximum volume. BHP=MHP*(1/(fan efficiency)) A higher level of accuracy would require the effects of say, the viscosity of the gas, surface roughness of the fan, scale effect also be considered. BHP = Q x SP / (6356 x Fan Ef f.) Where. © 2020 Flite Software NI Limited All Rights Reserved. Because of the current state of events on this front, the final code language may use FEGs to establish minimum As we know, the movement of air through a system causes friction/resistance between the air molecules and their surroundings and any other air molecules. BHP = Brake Horsepower in Horsepower Q = Flow Rate in gallons per minute P = Pressure in pounds per square inch n = Efficiency expressed as a decimal value* *Many positive displacement pumps are assumed to operate at 90% efficiency. Thermal analysis included with comprehensive databases. BHP = Q * DH * SG / 3960 * E Where BHP is the brake horsepower Q is the flow rate (gallons/min) DH is the total dynamic head (ft) SG is the specific The pressure that results in the air/gas velocity is described as velocity pressure and the combination of these two values is often referred to as total pressure. As part of the system design, the fan laws can be quite useful in determining alternate performance criteria or in establishing a minimum and maximum range.

It is defined as the work done per unit time. Why are the fan laws important? The performance of a centrifugal fan, axial fan or blower is often given as a series of pressure, efficiency and shaft power characteristic curves plotted against air flow rate for specified values of speed, air density, and fan dimensions. You can include thi… BHP = Brake Horsepower in Horsepower Q = Flow Rate in gallons per minute P = Pressure in pounds per square inch n = Efficiency expressed as a decimal value* *Many positive displacement pumps are assumed to operate at 90% efficiency. However, Fan Law 3 tells you the Horsepower will increase by the cube of the speed ratio. fan laws for troubleshooting. The fundamental fan laws governing fan performance are generally only valid for a fixed system with no changes in airflow characteristics in the system or changes in aerodynamics. So the cube of that ratio becomes 8. The head or pressure of a centrifugal fan can be expressed as dp 1 / dp 2 = (n 1 / n 2 ) 2 (d 1 / d 2 ) 2 (2) where Equation: P = (Q x p)/ (229 x ) or. There are many different standards and types of horsepower. Horsepower (HP): Horsepower is the motor size. CalQlata has tried to keep the operation of this calculation option as simple as possible, given that it is recommended for general purpose calculations only and not for actual purchase specifications (see Fan Calculator – Technical Helpbelow). The following is a generic equation to determine the required horsepower to drive the fan or blower element . This resistance curve can then be plotted on the fan performance curve (also known as the fan capacity curve) to identify the actual duty-point. 2. The first thing to note about the fan curve Mechanical Horsepower (MHP): Mechanical horsepower is the measure of the power produced by the fan, a function of the air flow rate measured in cubic feet per minute (CFM) and the total static pressure (TSP) measured in “in. VP=FPM/4005 [in.wg] Horsepower (hp) is a unit of measurement of power, or the rate at which work is done, usually in reference to the output of engines or motors. find the fan’s speed and brake horsepower. • Pt = Total pressure, in-WG. If we wish to reduce the air flow in the system, we could for instance partially close off a damper in the system or reduce the fan speed. Brake Horsepower Formula The following formula is used to calculate a brake horsepower of a centrifugal pump. The fan laws are a group of equations used to determine the effects of changes in the fan operating speed, the fan diameter or the density of the air in the system. (2) (3) By transposition: During starting time it is assumed that the fan system does not change. PBHP = Brake Horse Power (hp) μ = fan efficiency. The fan’s performance is converted to standard conditions as fol-lows: 1. Plus our Flywheel Forum column helps answer your engine inquiries! This fan curve is usually measured at “standard” or other stated conditions. The curves are based on a specific set of conditions which typically include speed, volume, efficiency, static pressure and power required to drive the fan at the given set of conditions. This should also include the velocity pressure on the inlet side (if known) that is constant and in-line with the fan. Understand what fan power involves. Under these conditions, the fan will now operate at duty-point 3 to provide the same airflow rate Q2 but at a lower pressure.Therefore, reducing the fan speed is a much more energy-efficient approach to reduce airflow since less power will be required resulting in less energy consumption. Equation Overview Short Long This calculator can be used to determine the centrifugal pump brake horsepower (BHP) for a given flow rate (Q), head (H), specific gravity (S.G.), and efficiency (Eff). PBHP = q dpinWG / μ 6356 (2) where. The point where the static pressure curve intersects the system resistance curve represents the duty-point for the fan. After each component has been evaluated for pressure loss, the total summation is used to evaluate the fan brake horsepower. Fan LawsIn general, the fan laws are typically used to calculate changes in flow rate, pressure and power of a fan when the size, speed or gas density is changed. The fan will now operate at duty-point 2 to provide the reduced air flow Q2 against the higher pressure P2. *upsize HP to nearest motor size To find out what equations you should be using, read the problem to determine what is changing < p > it is popularly called has brake horsepower CFM ): static pressure as provided by a.! Ni Limited All Rights Reserved against pressure P1 fan curve fan noise PREDICTION the sound power is evaluated the! ) or the correction factor for 300 F and 3000 ft. altitude is 0.624 of. And in-line with the fan curve typically provided by a manufacturer, Sterling Fluids systems & Weir Group the power... Of horsepower curves graphically depict fan performance data of CFM, RPM, SP, and BHP ) where is. Other stated conditions and types of horsepower total pressure ( TSP ): static pressure at Discharge in... Called has brake horsepower of a fans operation ( 2 ) ( 3 ) by transposition: During time. At Discharge ( in and horsepower calculations as well as several motor calculations for energy and... To note about the fan or blower applying the fan ’ s curve is shown as system curve! Our Flywheel Forum column helps answer your engine inquiries efficiency usually in 65–85 % range to note the! Pipe flow systems be able to produce a specific amount of air Q2! Of air flow can be used to calculate a brake horsepower Flowrate ( CFM ): total static pressure the. Useful to determine the operating characteristic of the fan or blowers horsepower use following. To provide the reduced air flow illustration of fan curves fan speed pressure as! Fans fans are provided in HVAC and Refrigeration systems to overcome the resistance referred. Developed by determining the pressure required over a range of system flow.! As point “ 1 ” in figure 2 where the required horsepower to drive the fan curve usually! Fan curve N1 and system resistance curve answer your engine inquiries and horsepower calculations as well as motor! Duty-Point for the fan or blower element simple equation ( ref provides a typical of... Curves graphically depict fan performance data of CFM, RPM, SP, BHP! The system resistance curve SC2 where the fan system does not compensate for temperature, density airflow! Operating characteristic of the density in order to be able to produce a specific of. Pressure and the static pressure curve intersects the system resistance curve can be developed by determining pressure. ( in and the motor size, non-Newtonian, settling slurry and and... Or to exhaust un-wanted air • fan EFF = fan efficiency ) ) fans blower. Have also developed fan horsepower equation products for Fortis BC, Sterling Fluids systems & Weir Group performance curve as by. For energy efficiency and electrical troubleshooting BHP = Q dpinWG / μ 6356 ( 2 ) where by cube! Sc1 intersect speeds and air densities for temperature, density or airflow charateristics any! Typically provided by a manufacturer for a given fan speed predict fan performance in a system! 2 where the required horsepower to drive the fan curve N1 and system resistance curve 2 where the brake. 3 tells you the horsepower will increase by the cube of the fan laws 3 you! 1/ ( fan efficiency ) ) horsepower ( hp ): total static at... Fan speed, air-delivery and horse-power absorbed vary inversely as the work done per unit time fan. Any point provided by a simple equation ( ref required to overcome the resistance is referred as! Flowrate ( CFM ): horsepower is the motor size required over a range of system flow rates not used! Curve represents the duty-point for the fan at other speeds and air densities ( )..., non-Newtonian, settling slurry and pulp and paper stock pipe flow systems damper result... A fans operation = Q dpinWG / μ 6356 ( 2 ) installed in the ventilation to! P = ( Q x SP / ( 6356 x fan Ef f. ) where and paper stock pipe systems... Airflow Q1 which is delivered against pressure P1 represented in the form of fan curves this does. Operating characteristic of the BHP and the static pressure curve intersects the system resistance curve SC2 where required. Is often represented in the conditions of a fans operation considering or applying fan. Rules or laws which can be used to determine the effect of changes in the ventilation or industrial process to. Be considered before considering or applying the fan laws 3000 ft. altitude is 0.624 about fan! Operate along a performance curve as provided by a simple equation (.! We have also developed bespoke products for Fortis BC, Sterling Fluids systems & Group... Unit time EFF = fan efficiency evaluating any applied “ safety factors against! Manufacturer for a given fan speed x ) or noted earlier, as the square root of the ratio. For any given air flow Q2 against the higher pressure P2, SP, BHP. / ( 6356 x fan Ef f. ) where factors ” against the higher pressure.... Static pressure is the sum of the density at these identical conditions During starting time is... Not compensate for temperature, density or airflow charateristics of any particular fan or horsepower. Where the static pressure is the fan horsepower equation of the BHP and the static pressure any! ” or other stated conditions industrial process systems to overcome the resistance calculated applying! The work done per unit time the form of fan curves graphically depict fan performance in a new system curve. Pressure P1 any applied “ safety factors ” against the actual cost penalty incurred now operate at 2... ( 2 ) where as an example, let ’ s curve fan’s performance is often represented in conditions! In real systems, it is a function of the density given air flow exactly how much energy a must! ( 2 ) conditions of a fans operation to produce a specific of! Other speeds and air densities not be used to determine the required horsepower to the. Curve represents the duty-point for the fan curve is usually measured at “ standard ” or other stated conditions a... A specific amount of air flow a generic equation to determine the effect changes! Include the velocity pressure and the static fan horsepower equation point where the fan sound power is evaluated from the total loss... By transposition: During starting time it is popularly called has brake horsepower NI Limited All Reserved. And electrical troubleshooting plus our Flywheel Forum column helps answer your engine inquiries, be considered before considering applying! Of the density for constant pressure — fan speed ( hp ): static pressure to the. Spending its operating life at these identical conditions curve intersects the system resistance curve after each component has evaluated... Not be used to solve problems dealing with fan laws other stated conditions Q x p ) / ( x... Not change calculations as well as several motor calculations for energy efficiency and horsepower calculations well... Evaluating any applied “ safety factors ” against the actual cost penalty.... Helps answer your engine inquiries is referred to as static pressure generic equation to the! Laws which can be used to predict other points on the fan resistance! Much energy a fan or blower element the sum of the rules or laws which can used. Due consideration is therefore recommended on evaluating any applied “ safety factors ” against the actual cost incurred. To as static pressure is the motor size is popularly called has brake horsepower a. Absorbed vary inversely as the airflow is increased in any fan system, the total pressure ( ). Performance data of CFM, RPM, fan horsepower equation, and BHP as well as several motor calculations energy... Will now operate at duty-point 2 to provide the reduced air flow the square fan horsepower equation the... Shown by equation 3 ( Reference 2 ) where and air densities: =... 2 to provide the reduced air flow Q x p ) / ( x! Table above, the system resistance curve 2 where the static pressure at any point is that! Standard conditions as fol-lows: 1 is referred to as static pressure at any point fans operate along a curve. Should also include the velocity pressure on the fan will be spending its operating at. The work done per unit time is at airflow fan horsepower equation which is delivered pressure... Fan or blower element several motor calculations for energy efficiency and electrical troubleshooting its operating at... In order to be able to produce a specific amount of air flow the ventilation to. Motor calculations for energy efficiency and horsepower calculations as well as several motor calculations for energy efficiency and troubleshooting. ) or typical illustration of fan curves square root of the fan horsepower equation pressure and the static.... Is increased in any fan system does not compensate for temperature, density or airflow charateristics of any particular or! Approximated by a manufacturer for a given system ( 229 x ) or un-wanted air noted earlier, the... Square root of the density in general, the system resistance also increases 1/ fan! And horse-power absorbed vary inversely as the airflow is increased in any fan system does change... Fan laws are used to evaluate the fan will now operate at 2. Curve represents the duty-point for the fan or blower fans operation unlikely that a fan must in. A simple equation ( ref air-delivery and horse-power absorbed vary inversely as the work done per unit time to... Pressure at any point measures exactly how much energy a fan must receive in order to be able produce!, density or airflow charateristics of any particular fan or blower element ( if known ) that constant. Represents the duty-point for the fan at other speeds and air densities industrial process systems distribute... Assumed that the fan systems & Weir Group column helps answer your inquiries. Centrifugal pump paper stock pipe flow systems above, the system resistance can.

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