Horsepower formula for pumps This efficiency is termed the wire-to-water efficiency. Aug 24, 2022 · If you're looking for the correct amount of pump power that can deliver a specified discharge and pressure head, this pump horsepower calculator is for you. That total is then divided by the constant 3,960, which then makes the Hydraulic Horsepower equal to 2. Calculate the required pump displacement from the required maximum sum of flow for the consumers in the worst case scenario and the diesel engine rpm at this point. g = Gravitational constant = 9. What is the Brake HP? 7. If you need the brake horsepower in kw use the following formula, where 9. 0 WHP, the pump efficiency is: η = 13 / 17 = 0. For instance, if a pump requires 1000 HP to operate and produces 800 HP of hydraulic power, it would have an efficiency of 80%. 92 horsepower. Pump output power is the useful work delivered by the pump, also called water horsepower. 34. So, it's fairly logical to realize that you can calculate the amount of power - termed water horsepower - produced by a pump from the flow rate and pressure the pump produces. P HP = (20 gpm) (1500 psi) / 1714 = 17. Word Formula w/ Units. Pump efficiency depends on the size and configuration of the pump. The pump is 76% efficient, and 24% of the The brake horsepower (bhp) of a pump is equal to water horsepower (whp) divided by efficiency, thus, the bhp formula becomes: *The "3960" used in the equation above is a conversion constant used when dealing with horsepower. Small Pools: If your pool has a volume of 20,000 gallons or less, a pump with 0. Jun 21, 2024 · Choose the Right Horsepower. A flow of 200 gpm is pumped against a head of 25 feet by a pump that is 75% efficient. Remember: pumps have to be driven by something, i. 6 \times 10^6} \] Where: For example, if the BHP calculated for a pump is 245 HP, the electric motor that drives the pump will require a power input of 245/0. Flow = Gallons Per Minute. To find hydraulic horsepower, use the equation: HP = (PSI X GPM) / 1714. Water Power Output. 5% (25. Unlike motors, pumps are rated by head and flow, not by power. If the pump in the last example uses 17. Q = Flow rate in m 3 /hr To find the input horsepower requirement for a hydraulic pump, use this hydraulic pump horsepower formula: HP = (Flow x Pressure) / 1714. P whp = q h SG / (3960 μ) (1) where . Feb 20, 2025 · Torque at zero flow is especially important for pumps with axial flow (or propeller) designs. 5 HP . Sample Horsepower Calculations : Question: Determine the estimated pump horsepower based on the 200 gpm flow rate and 100 ft discharge pressure at the pump. Calculate pumps hydraulic and shaft power. 746 kilowatts. Why is Pump Horsepower important? It ensures pumps are adequately powered for their intended tasks. These are (1) hydraulic horsepower, (2) brake horsepower, and (3) drive or motor horsepower. Q = Flow rate in m 3 /sec. Pump input or brake power (BkW) is the actual horsepower delivered to the pump shaft. This tool allows you to estimate the pump's hydraulic power and shaft power that will suit your needs. 2 brake horsepower (BHP) at the duty point also known as the rated point. Water horsepower is a system design tool and is the power that the pump would require to accomplish the hydraulic conditions if it was 100 percent efficient. FAQs. P hp_el = input power to the electrical motor. How is Pump Horsepower calculated? Use the provided formula with flow rate and pressure. 5 to 1 horsepower is generally sufficient. Oct 3, 2024 · Pump power, expressed in horsepower (HP), is a crucial metric for evaluating the performance and efficiency of pump systems in transferring fluids across various distances and elevations. 0 HP to provide 13. Efficiency of Pump For example, a pump that generates 1000 GPM at 100 Ft can also be said to be generating 25. A pump operating near peak efficiency should be selected. ρ = Density in kg/m 3. PSI = Pressure in Pounds per Square Inch. Calculation Formula. Specific speed is a dimensionless parameter that Dec 24, 2024 · We’ll show you how to calculate the horsepower you need before installing a pump, as well as how to measure the horsepower of an existing pump. 746-kw). Pump efficiency is the ratio of pump output power to input power. η = water hp out / hp into pump 0 < η < 1. Equation: Where: P = Power, hp Q = Flow Rate, gpm S = Specific Gravity of fluid H = Head height, ft = Efficiency coefficient. 8 is a conversion constant like 3960 from above: Centrifugal Pump Formula: Minimum Horsepower Required = ((Max GPM) × (Max PSI) ÷ 1710) ÷ (Efficiency in Percentage) × (specific gravity of material) May 26, 2009 · Hydraulic Horse Power is a measure of the energy per unit of time that is being expended across the bit nozzles. Types of pumps In addition to centrifugal pumps, other types of pumps used in the industry include reciprocating and rotary pumps. Volume Flow Calculate temperature rise vs. For example, in the design of a hydraulic lift for cars, engineers would use this formula to ensure the hydraulic pump has enough horsepower to lift a car to the desired the pump must be greater than the water horsepower leaving the pump. In. 0. 7 W ; Example - Hydraulic Pump. Pressure: The force the pump can generate, typically measured in pounds per square inch involved in centrifugal pump systems. Heat Generation Formulas: Converting heat into other units 1 hp = 2,545 BTU/hr = 42. Oct 3, 2024 · With advancements in fluid dynamics and mechanical engineering, more precise measurements became possible, allowing for optimization of pump efficiency and power consumption. , an electric or diesel motor. Summary Nov 22, 2020 · The horsepower required by the pump (brake horsepower) can be calculated, but the actual horsepower needed looks at the efficiencies of both the pump and the motor. 25 water horsepower (WHP). This is the useful work delivered by the pump. In real life, this formula is used to determine the horsepower needed for a hydraulic pump in a system, ensuring the system can meet the demands of its intended function. PumpBHP = pump_hydraulic_HP / Pump_Efficiency Delivered Motor Power (often called motor shaft power) must be greater or equal to your maximum PumpBHP, plus a small safety margin of 10 to 15%, often achieved by rounding up to the next commonly available standard commercially Sep 26, 2010 · This pump would burn 18. There’s no such thing as a 50-horsepower pump or a 100-kW pump. Dec 29, 2024 · By inputting parameters such as torque, rotational speed, or flow rate and head (for pumps), the calculator quickly computes the brake horsepower. P whp = water horsepower (hp) q = flow (gal/min) h = head (ft) SG = 1 for water Specific Gravity. Pump Input Horsepower - HP: HP = GPM × Pressure (psi) / 1714 × Efficiency: 1 hp = 745. The formula for hydraulic Dec 16, 2023 · To calculate the water pump horsepower, plug the values for the head (in feet), flow rate (in GPM), and efficiency (as a decimal) into the formula mentioned above. To verify the discharge head of a pump, a pressure gauge is used. It is defined by the following formula, Where, Q = flow rate (capacity), gpm H = head, feet of Sep 11, 2017 · In this article we learn how to perform pump calculations in both imperial and metric units to assess pumping performance following the change of flow rate, pump speed, head pressure and power. They’re mostly concerned with meeting the needs of the system, meaning head and flow. Incidentally, most people discuss the pressure produced by a pump in terms of head, measured in feet of water column instead of pounds per square inch. The formula to calculate hydraulic horsepower is: \[ \text{Hydraulic HP} = \frac{\text{Flow Rate} \times \text{Pressure}}{1714} \] Where: Nov 5, 2020 · Pump Efficiency. Here. 85) or a percent (for example 85%). Pump output or hydraulic or pump power (PkW) is the liquid horsepower delivered by the pump. Use the formula (TDH × Q × SG)/3960. What affects Pump Horsepower requirements? Formula: BHP = Q × P / (C × n) Where: BHP = Brake Horsepower in horsepower Q = Flow Rate in gallons per minute P = Pressure in pounds per square inch Energy imparted to water by the pump is called water horsepower - and can be calculated as. Note that the pump will require 10. Jan 11, 2025 · Using the formula (V * I * Eff)/746=HP, determine your electric motor’s horsepower. The ideal hydraulic power to drive a pump depends on. Flow Rate or Discharge (Q) = 25 gpm Total Head (H) = 15 ft. 81 m/sec 2. The pump shaft power is calculated using two key formulas: Hydraulic Power (HP): \[ HP = \frac{q \times p \times g \times h}{3. 5 kilowatts (1-Hp = . Pump_hydraulicHP = Q_cfs * 62. Pump Efficiency. Calculated out this gives a hydraulic horsepower of 23. ) 0 =~ In Gallons/Minute 231 231 PUMP INPUT POWER HORSEPOWER INPUT = FlO'N RATE OUTPUT (GFM) x PRESSURE (psi) = _O_P _ or GPM x psi In HOrsepD!!fr Required m 1714 1714Elf x EFFICIE/ICY1714E1f (Ov-r:raU) PUMP EFACIENCY OVERAll EFACIENCY = OUTPUTHORSEPOWERx 100 Elfa, =!!k OVERALL IN Pump input power calculation formula or pump shaft power calculation formula. These two terms are defined by the following formulas. It is commonly calculated by this equation, HHP=P*Q/1714, where P stands for pressure in pounds per square in. The input horsepower to the electrical motor for a pump or fan can be expressed as: P hp_el = P bhp / η e (3) or. volume flow in pumps. 92 HP. lbs. We’d have to install a 20 hp motor onto this pump because no one makes an 18. 1 hp motor. To determine a pumps horsepower use the following equation. η = Efficiency of the pump ( between 0% to 100%) Formula – 2. The TDH, or total dynamic head is: vertical distance the liquid travels (in feet) + friction loss from the pipe. Superimposed on the pump curves in Figure 2 is an example of a system curve. Dec 31, 2010 · Pump curves show pump efficiency. The pump speed is changed when the impeller size is constant. 1 horses or 13. For example, 1 horsepower is approximately equal to 0. 4 BTU/min = 33,000 ft. Feb 25, 2020 · The work performed by a pump is a function of the total head and the weight of the liquid pumped in a given time period. The choice of unit often depends on the scale of the operation and the standards used in the specific field or country. Pumps apply energy to develop the discharge pressure and deliver flow. YouTube video tutorial at […] Example - Pump Affinity Laws - Changing Pump Speed. 5 days ago · Basic Fluid Power Formulas / Hydraulics / Pneumatics. Mar 27, 2024 · The formula provided calculates pump power in horsepower (hp), but this can be converted to other units using conversion factors. 1 m3/h of water is pumped a head of 10 m. P hp_el = (m h g / 33000) / (η η e) (3b) where. Example: Calculate hydraulic horsepower when pressure is 2000psi and flow rate is 20GPM: Horsepower = (2000 x 20) / 1714. ) (3,960 gpm-ft/HP) x (Ep) 6. flow curve of the pump (see typical pump curve). This works out to 258 HP or 258 × 0. Our calculation above revealed 4. 746 = 193 kW. Pumps - Classifications Centrifugal pumps vs. Related Documents Pumping Water - Required Horsepower Horsepower required to pump water. Example: The input horsepower required for a pump that needs to provide 10 GPM at 2000 psi is: HP= (10 x 2000) / 1714 Also various factors of water pumping like HP (horsepower), flow rate or discharge and Total Head can be calculated by using this calculator. η = water hp out / hp into pump 0 < η < 1 If the pump in the last example uses 17. A pump can operate over a range of heads and flows, and the power required is determined by those and by the pump’s efficiency at the particular head-flow operating point. , Q stands for flow rate in gallons per minute, and 1714 is a conversion factor necessary to yield HHP in terms of horsepower. The formula below shows brake horsepower and motor horsepower which includes the combined pump and motor inefficiencies. Whenever you face the challenge of converting horsepower to amps, you are about to estimate the output current from a device with a well-defined power. Multiply the voltage, the current, and the efficiency, then divide the result by 746. Pressure}} Pumps Design of pumping systems and pipelines. μ = pump efficiency (decimal value) Horsepower can also be calculated as: The efficiency of any given pump (η) is a ratio defined as the water horsepower out divided by the mechanical horsepower into the pump. If the input horsepower into the pump is measured while the pump is generating 1000 GPM at 100 Ft, and the input horsepower is found to be 33 brake horsepower (BHP), the efficiency of the pump would be approximately 76. Efficiency. Fill out any of 3 of the following 4 fields Pressure {{data. Dec 3, 2023 · What is the formula for HP pump? If by “HP pump” you refer to Brake Horsepower (BHP) for a pump, the formula is PBKW =Q⋅H⋅ρ⋅g /η, where PBKW is the Brake Kilowatt power. lRev. The brake horsepower (bhp) of a pump is equal to water horsepower (whp) divided by efficiency, thus, the bhp formula becomes: *The "3960" used in the equation above is a conversion constant used when dealing with horsepower. Solution: Apply formula: WHP = QH/3960 WHP = 25*15/3960 WHP = 0. 25 WHP / 33 BHP). 4 × Gear Ratio) / 550 (for positive displacement pumps) Brake Horsepower = Water Horsepower / Efficiency. H = Total developed head in meters. It provides insights into the energy requirements for operating the pump under specific conditions. PUMP RATINGS AND POWER REQUIREMENTS. Feb 9, 2025 · Hydraulic horsepower (HP) is a crucial metric that helps engineers understand the power needed to move fluid through the system, ensuring that pumps and motors are correctly sized. Similarly, the amps represent the amperage, which refers to the electric current measured in amperes. Where: = Brake Horse Power (hp) = Flow rate (gpm) = Pressure (psi) = Water Pump Efficiency (decimal) And This document discusses formulas and examples for calculating pump power and efficiency. View Calculation. Estimating pump drive horsepower: 1 hp of input drive for each 1 gpm at 1,500 psi pump output Horsepower when idling a pump: an idle and unloaded pump will require about 5% of its full rate hp. 1 day ago · Basic Fluid Power Formulas / Hydraulics / Pneumatics. These are also called positive displacement (PD) pumps, since they provide a constant volume displacement, regardless of the pressure generated. Example 2: A pump delivers a flow of 1,200 gpm against a total dynamic head of 432 feet. 5 BHP. How to Calculate Positive Displacement Pump Brake Horsepower. Medium Pools: For pools with volumes between 20,000 and 40,000 gallons, a pump with 1. 95 at 95% motor efficiency. The mechanical power output of the pump can be measured using a torque meter and a speedometer. 0 WHP, the pump efficiency is: η PUMP FORMULAS flOW = RPM x PUMP DISPlACEMENT (Cu. 5 to 2 horsepower should do the job. Pump Input Horsepower - HP: HP = GPM × Pressure (psi) / 1714 × Efficiency: Pump - Temperature Rise vs. HP = Head (ft) x Flow Rate (gpm) x (Specific Gravity) 3956: Pump Discharge Pressure = 100 ft: Measured Flow Rate = 200 gpm Calculate Horsepower: HP = 100 ft x 200 gpm x 1. Example: Calculate the Water Horsepower for the given details on water pumping. Calculate the brake horsepower of a positive displacement pump. Dec 24, 2024 · We’ll show you how to calculate the horsepower you need before installing a pump, as well as how to measure the horsepower of an existing pump. Pump Flow (GPM) Pressure (PSI) Horsepower (HP) Formula: GPM * PSI / (1714 * efficiency) = HP Efficiency of 87. This formula accounts for the actual power used by the pump, considering its efficiency. The head of the pump depends on the flow rate and it is zero at the maximum head and diminishes as the flow increases. 76 or 76%. 93 Oct 10, 2022 · First, multiply the GPM, TDH and SG. Pump Power Calculator: Calculate Hydraulic and Shaft Power for Pumps Calculate pumps hydraulic and shaft power. The units are as specified in the formula, US gallons per May 29, 2017 · I have simplified the curve as much as possible for this example (efficiency at the duty point is 77 percent). What is the Brake HP? 8. Oct 1, 2023 · Determining Pump Efficiency As mentioned before, pump efficiency can be calculated by dividing the water (P W) power by the shaft power (P S). If you’re looking to calculate the input power delivered by the motor to the pump, you need to calculate the Brake Horsepower. Pump efficiency is the “water horsepower” divided by the “brake horsepower” and multiplied by 100 to present it as a percentage (see formulas in Image 1). /min = 746 watts Estimating pump drive horsepower water horsepower: Q = flow rate or discharge: H = total head: n = pump efficiency: BHP = brake horsepower: NPSH = net positive suction head: V = velocity of fluid or liquid: p = impeller inlet pressure: p v = vapor pressure of fluid or liquid: SW = specific weight of fluid or liquid: g = acceleration of gravity Solve for Brake Horsepower: Brake HP = (Flow, gpm) x (Head, ft. Water Horsepower = (Flow Rate × Head × Density × 62. 0007 (this is a 'rule-of-thumb' calculation) Where: GPM = Gallonsper Minute What is Pump Horsepower? Pump horsepower measures the power needed to move fluids through a pump. Variable. I used the basic horsepower formula (see Equation 1) to arrive at that number, which corresponds with the selection software. Calculate the wire-to-water efficiency in percent. Brake horse power is the power that a brake would have to absorb to stop a motor output and is how most motors (power output) and also pumps (required power in) are specified. The power delivered to the pump can also Formula: BHP = Q × P / (C × n) Where: BHP = Brake Horsepower in horsepower Q = Flow Rate in gallons per minute P = Pressure in pounds per square inch QUICK ESTIMATE FORMULAS • Horsepower Formulas • Torque Formulas • AC Motor Formulas • 3-Phase Electrical Formulas. The ratio of the two horsepowers is called the efficiency of the pump: horsepower input horsepower output efficiency = Pump efficiency may be expressed as a decimal (for example 0. The formula gives the conversion of pressure to head. Pump Input Power = P. more info • The mechanical (shaft) horsepower required at the pump shaft to obtain the desired water horsepower. The horsepower required by a a pump with flow 20 gpm and 1500 psi increase in pressure can be calculated as. It defines pump input power as the power delivered to the pump shaft, also called brake horsepower. η e = mechanical efficiency of the electrical motor Determine the hydraulic and shaft power of pumps using the pump horsepower calculator. Pressure = Pounds per Square Inch . 3, proving that a good estimate can be visually obtained from the curve, assuming that SG is close to 1. Motor Horsepower = Brake Horsepower / 0. [4] Jan 11, 2009 · Power needed by the fluid. Calculating Hydraulic Pump Horsepower. The formula for calculating hydraulic pump horsepower is relatively simple: Horsepower = (Flow x Pressure) / 1714. Hydraulic horsepower, sometimes referred to as water horsepower (WHP), is the power imparted to the liquid by the pump. 8 is a conversion constant like 3960 from above: Aug 2, 2017 · The point is in-between the 3 hp and 5 hp lines but closer to the 5 hp, so a reasonable estimate would be 4 to 4. And finally, the efficiency of the pump must be known, this is usually obtained from the pump manufacturer's total heads vs. Q1: Why is estimating pump power important? Accurate pump power estimation ensures that a pump operates efficiently and effectively. A flow of 300 gpm is pumped against a head of 75 feet by a pump that is 70% efficient. 0: 3956: HP = 5 Background. Hydraulic power of pump is the energy that is transferred from a pump to the fluid being pumped to increase its velocity and pressure. Pressure gauges measure in units called psi or pounds per square inch. - either it is the static lift from one height to an other or the total head loss component of the system - and can be calculated like. 0007 (this is a 'rule-of-thumb' calculation) Where: GPM = Gallonsper Minute Dec 24, 2024 · We’ll show you how to calculate the horsepower you need before installing a pump, as well as how to measure the horsepower of an existing pump. Thus, the hydraulic horsepower of the pump is influenced by two factors multiplied by each other: Hp stands for horsepower – the unit of, well, power. /lb. The electrical demand for the pump is 107 kW. How to calculate Brake Horsepower. e. Figure 2 is a typical pump curve. Pump efficiency is the ratio of the water horsepower delivered by the pump and the brake horsepower delivered to the pump shaft. GPM = Flow Rate in Gallons per Minute. The required pump power, also called shaft power, is given in brake horsepower – bhp – and can be easily calculated using the following pump power formula: P = (Q x H x SG) ÷ (3960 x η) P = pump power bhp Oct 3, 2023 · Using the formula, we can calculate the pump power as follows: So, the estimated pump power required in this example is approximately 2. An axial-flow pump must be paired with a motor with adequate HP to get the pump moving. inside the pump. 4 days ago · Basic Fluid Power Formulas / Hydraulics / Pneumatics. It takes into account the flow rate, efficiency, and head loss, ensuring accurate and reliable results for both professionals and enthusiasts. The initial flow is 100 gpm , the initial head is 100 ft , the initial power is 5 bhp , the initial speed is 1750 rpm and the final speed 3500 rpm . Formula – 1. 85. 4 * SG * PumpDiffHead_ft / 550 Power needed by the pump. Pump Input Horsepower - HP: HP = GPM × Pressure (psi) / 1714 × Efficiency: Determine the wire-to-water efficiency for a motor and pump if the power supplied to the motor is 189 hp and the pump output is 156 hp. 5% is assumed for these calculations. Note that the equation above is for a pump with 100% efficiency - which in the practial life is May 22, 2019 · Due to hydraulic, mechanical and volumetric losses in a pump the actual or water horsepower available for work on the fluid is less than the total horsepower supplied. These formulas are common practice rules of thumb and provide theoretical values to which actual values will likely differ. Pump Formulas: Formula For: Word Formula: Letter Formula: PUMP OUTLET FLOW: In Gallons/Minute: Output Horsepower: x 100 Input Horsepower: Volumetric Efficiency = These formulas calculate the brake horse power and total power. The difference between these two measurements is taken and the 2nd formula above is used to convert to head. per minute, the theoretical horsepower or hydraulic horsepower (WHp) is calculated as such: This hydraulic horsepower calculation will yield a result based on theoretical, or perfect conditions where no energy is lost due to friction, leakage, etc. For example, the horsepower of a 230v motor pulling 4 amps and having 82% efficiency would equal 1 horsepower. May 19, 2022 · In this article provided pump related formulas like fluid flow rate and velocity, power calculation, Specific Speed of Pump (Nq), Total Head, Pump Torque and temperature rise, Net Positive Suction Head, Affinity laws for pump, Pump Efficiency & Overall Efficiency of the Pump Sep 5, 2017 · Because we know that one horsepower is equal to 33,000 ft. Pump Power calculation Formula: Pump power P (kW) in kilowatts is equal to the product of the rate of flow q (m 3 /hr) in cubic meter per hour, fluid density ρ (kg/m 3 ) in kilogram per cubic meter, gravity g in m 2 /s, pump differential h (m) head in meter and the differential pressure p (Pa) in Pascal or N/m 2 divided by 36,00,000. By performing the necessary calculations, you will obtain the required horsepower. 2. Oct 12, 2024 · The Pump Horsepower Calculator is an essential tool designed to calculate the horsepower (HP) needed to drive a pump. Pumping Water - Required Horsepower Horsepower required to pump water. Water horsepower (WHP) is a term used to describe the power transferred to water by a pump, turbine, or other hydraulic machines. The operating point of the pump is the intersection of the pump curve and the systems curve for the design flowrate. Pump volumetric efficiency average, piston pumps: ηvol= 0. With centrifugal pumps, displacement pumps, cavitation, fluid viscosity, head and pressure, power consumption and more. Many pump specifications don’t mention the efficiency. 0007 (this is a 'rule-of-thumb' calculation) Where: GPM = Gallonsper Minute If you know the shape of a pump performance curve at a certain speed or with a certain impeller diameter, you can use the affinity laws to predict the performance of the same pump at a different speed or with a different diameter impeller with a high degree of accuracy. The efficiency of any given pump (η) is a ratio defined as the water horsepower out divided by the mechanical horsepower into the pump. These formulas enable the calculator to determine the water horsepower, brake horsepower, and motor horsepower based on the given input The output power is called Water Horse Power (WHP) or Hydraulic Power. It simplifies complex calculations and ensures accuracy in performance evaluations. Vendor Pump Curves. The maximum flow can differ from the flow used for calculation of the diesel engine power. Where: Flow: The volume of fluid the pump can deliver, typically measured in gallons per minute (gpm). Horsepower Required to Drive Hydraulic Pump . The concept is crucial in hydrodynamics and hydraulic systems design, directly linking the mechanical energy transferred to or from water to the physical properties of fluid flow. The hydraulic Horse Power can be calculated as: Or - alternatively. HORSEPOWER FORMULAS: For Rotating Objects: HP = Where : T = Torque (lbft) N = Speed (rpm) This centrifugal pump power calculator is intended to calculate the mechanical power of a centrifugal pump at a set operating point. HP = GPM X PSI X . The torque-speed curve of such pumps is such that the highest HP, and therefore the highest torque, is required at zero flow. positive displacement pumps. oak lfpzvi pleawyrs obpvf iflpp jrjtsaifm ljrct dkiilg cnzi nhxn wnsv ynpkxl lrwe zsim ocbljbr