{"id":8397,"date":"2026-09-10T01:00:00","date_gmt":"2026-09-10T01:00:00","guid":{"rendered":"https:\/\/www.mislier.com\/?p=8397"},"modified":"2026-09-10T01:00:00","modified_gmt":"2026-09-10T01:00:00","slug":"pump-efficiency-calculation","status":"publish","type":"post","link":"https:\/\/www.mislier.com\/ar\/pump-efficiency-calculation\/","title":{"rendered":"Pump Efficiency Calculation: Formula, Boundaries, and Example"},"content":{"rendered":"<p><img decoding=\"async\" class=\"lazyload\" data-src=\"https:\/\/www.mislier.com\/wp-content\/uploads\/2026\/08\/pump-efficiency-calculation-formula-boundaries-example.png\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" \/><noscript><img decoding=\"async\" src=\"https:\/\/www.mislier.com\/wp-content\/uploads\/2026\/08\/pump-efficiency-calculation-formula-boundaries-example.png\"><\/noscript><\/p>\n<p>A centrifugal pump moving 100 m\u00b3\/h against 40 meters of head at the shaft may show 72% efficiency when you measure shaft torque and speed, but only 65% efficiency when you measure electrical input at the motor terminals. Both values are correct because they answer different questions: the first tells you how well the impeller and casing convert mechanical rotation into hydraulic energy, while the second includes motor copper losses, core losses, and any variable-frequency drive inefficiencies between the wall and the shaft. Pump efficiency calculation requires you to define the boundary first\u2014hydraulic output divided by what input\u2014then measure or estimate the power crossing that boundary with instruments placed at the correct locations in the energy chain.<\/p>\n<p>This guide walks through the formula for each efficiency boundary, shows where flow, head, shaft power, and electrical input fit into the calculation, presents a worked SI example with stated assumptions, and explains how to avoid mixing pressure with head or assigning one efficiency value to every operating point when the pump curve proves otherwise.<\/p>\n<h2>\u0627\u0644\u0648\u062c\u0628\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629<\/h2>\n<ul>\n<li><strong>Hydraulic efficiency<\/strong> converts flow (m\u00b3\/s or L\/s) and total dynamic head (m) into hydraulic power output, requiring liquid density and gravitational acceleration.<\/li>\n<li><strong>\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u0645\u0636\u062e\u0629<\/strong> divides hydraulic power by shaft input power, isolating impeller, casing, volumetric slip, and disk friction losses without motor influence.<\/li>\n<li><strong>Wire-to-water efficiency<\/strong> multiplies pump efficiency by motor efficiency and, when present, drive efficiency, capturing the complete energy path from electrical supply to liquid discharge.<\/li>\n<li><strong>Measurement placement<\/strong> determines which losses you include: shaft torque and speed for pump-only efficiency, motor input power for combined pump-motor efficiency, or line power for full system efficiency.<\/li>\n<li><strong>Duty-point comparison<\/strong> is essential because efficiency changes across the pump curve, making a single headline efficiency value misleading unless tied to a specific flow and head.<\/li>\n<li><strong>Trending<\/strong> reveals degradation when efficiency drops at the same duty point over time, indicating wear ring clearance growth, impeller damage, or bearing deterioration.<\/li>\n<\/ul>\n<h2>Choose the Efficiency Boundary First<\/h2>\n<p>Pump efficiency is not a single number. It is a ratio of useful output power to supplied input power, and the result changes depending on where you draw the measurement boundary. A plant engineer troubleshooting high energy costs needs wire-to-water efficiency to see the full electrical-to-hydraulic conversion. A pump manufacturer publishing a <a href=\"https:\/\/www.calculatorultra.com\/en\/tool\/pump-efficiency-calculator.html\" target=\"_blank\" rel=\"noopener\">performance curve<\/a> reports pump efficiency at the shaft, excluding motor losses that vary by motor selection and load. A hydraulic system designer calculating combined pump-motor efficiency to size a generator must include both.<\/p>\n<p>The three most common boundaries are:<\/p>\n<ul>\n<li><strong>Hydraulic (pump) efficiency<\/strong> \u03b7_p: hydraulic power out \u00f7 shaft power in. Captures impeller hydraulic losses, disk friction, mechanical seal friction, bearing friction, and volumetric slip through wear rings and balancing holes.<\/li>\n<li><strong>Motor efficiency<\/strong> \u03b7_m: shaft power out \u00f7 electrical power in. Captures copper losses (I\u00b2R), core losses (hysteresis and eddy currents), windage, and bearing friction in the motor.<\/li>\n<li><strong>Wire-to-water (overall) efficiency<\/strong> \u03b7_overall: hydraulic power out \u00f7 electrical power in. The product \u03b7_p \u00d7 \u03b7_m, or \u03b7_p \u00d7 \u03b7_m \u00d7 \u03b7_drive when a VFD is present.<\/li>\n<\/ul>\n<p>Each boundary requires different instruments. Shaft power needs a torque transducer or dynamometer and a tachometer. Motor input power needs a three-phase power analyzer at the motor terminals. Wire-to-water calculation from line power needs the analyzer at the VFD input or motor starter, depending on configuration.<\/p>\n<p>Before calculating, confirm which losses you want to capture and where your measurement points are located. Mixing boundaries\u2014using motor nameplate power as if it were shaft power, or using discharge pressure without accounting for suction pressure and elevation\u2014produces errors larger than typical instrument uncertainty.<\/p>\n<h2>Hydraulic Output Power from Flow, Head, and Density<\/h2>\n<p>Hydraulic power is the rate of energy transfer to the liquid. The formula is:<\/p>\n<p><strong>P_hydraulic = \u03c1 \u00b7 g \u00b7 Q \u00b7 H<\/strong><\/p>\n<p>\u0627\u0644\u0645\u0643\u0627\u0646:<\/p>\n<ul>\n<li>\u03c1 = liquid density (kg\/m\u00b3)<\/li>\n<li>g = gravitational acceleration (9.81 m\/s\u00b2)<\/li>\n<li>Q = volumetric flow rate (m\u00b3\/s)<\/li>\n<li>H = total dynamic head (m)<\/li>\n<\/ul>\n<p>In SI units, the result is watts. Divide by 1,000 for kilowatts.<\/p>\n<p>Total dynamic head H is the energy per unit weight added by the pump, calculated from discharge pressure minus suction pressure plus any elevation change plus velocity head change. If you substitute gauge pressure directly into this formula without converting to head, the result will be wrong because pressure and head are related by density: H = \u0394P \/ (\u03c1 \u00b7 g).<\/p>\n<p>For water at 20\u00b0C (\u03c1 \u2248 998 kg\/m\u00b3), one bar of pressure difference equals approximately 10.2 meters of head. For liquids with different density\u2014oil, brine, or slurries\u2014you must use the actual density or convert specific gravity to kg\/m\u00b3 before calculating head or hydraulic power.<\/p>\n<p>The formula assumes steady flow. For pulsating flow from reciprocating pumps or non-Newtonian fluids such as sludge or polymers, instantaneous power varies and you need time-averaged measurements or acceptance test procedures that account for flow variation.<\/p>\n<h2>Pump Efficiency from Shaft Input<\/h2>\n<p>Pump efficiency isolates the pump assembly from the driver:<\/p>\n<p><strong>\u03b7_p = P_hydraulic \/ P_shaft<\/strong><\/p>\n<p>Shaft power is the mechanical power delivered to the pump shaft by the motor or other driver. You can measure it directly with a torque transducer and tachometer:<\/p>\n<p><strong>P_shaft = (2\u03c0 \u00b7 n \u00b7 T) \/ 60<\/strong><\/p>\n<p>\u0627\u0644\u0645\u0643\u0627\u0646:<\/p>\n<ul>\n<li>n = shaft speed (rpm)<\/li>\n<li>T = shaft torque (N\u00b7m)<\/li>\n<li>Result in watts<\/li>\n<\/ul>\n<p>Alternatively, if you measure motor input power and know motor efficiency from the motor manufacturer&#8217;s curve at the actual load, you can back-calculate shaft power:<\/p>\n<p><strong>P_shaft = P_motor_input \u00d7 \u03b7_m<\/strong><\/p>\n<p>This method introduces motor efficiency uncertainty, so direct torque measurement is preferred for acceptance testing or baseline records.<\/p>\n<p>Pump efficiency accounts for:<\/p>\n<ul>\n<li><strong>Hydraulic losses<\/strong> in the impeller and casing from friction, turbulence, recirculation, and shock at off-design flow.<\/li>\n<li><strong>Volumetric losses<\/strong> through wear ring clearances, balancing holes, and any internal leakage paths that return liquid from discharge to suction without delivering useful head.<\/li>\n<li><strong>Mechanical losses<\/strong> in bearings, mechanical seals, and disk friction\u2014the drag of impeller shrouds rotating in liquid-filled casing clearances.<\/li>\n<\/ul>\n<p>Pump efficiency is maximum at the best efficiency point (BEP) and falls at lower or higher flows. Never assume the nameplate or datasheet efficiency applies across the full operating range.<\/p>\n<h2>Motor, Drive, and Wire-to-Water Efficiency<\/h2>\n<p>Motor efficiency depends on motor design, size, speed, and load. A four-pole 15 kW IE3 motor may show 91% efficiency at 100% load, 90% at 75% load, and 85% at 50% load. Motor manufacturers publish efficiency curves; use the curve value corresponding to the measured shaft load, not the nameplate full-load efficiency.<\/p>\n<p>When a variable-frequency drive controls the motor, add drive efficiency:<\/p>\n<p><strong>\u03b7_overall = \u03b7_p \u00d7 \u03b7_m \u00d7 \u03b7_drive<\/strong><\/p>\n<p>Drive efficiency adds losses between the line and the motor depending on load and switching frequency.<\/p>\n<p>Wire-to-water efficiency is the product of all terms. For example:<\/p>\n<ul>\n<li>Pump efficiency at duty point: 74%<\/li>\n<li>Motor efficiency at that load: 90%<\/li>\n<li>VFD efficiency: 96%<\/li>\n<li>Overall efficiency: 0.74 \u00d7 0.90 \u00d7 0.96 = 64%<\/li>\n<\/ul>\n<p>This overall efficiency is what matters for energy cost calculations, carbon footprint estimates, and generator or solar array sizing. The pump manufacturer&#8217;s published efficiency curve stops at the shaft and does not include the motor or drive you select.<\/p>\n<h2>Worked SI Example with Stated Assumptions<\/h2>\n<p><strong>System:<\/strong> A horizontal centrifugal pump moves water at 20\u00b0C through a closed-loop cooling system.<\/p>\n<p><strong>Measurements:<\/strong><\/p>\n<ul>\n<li>Flow rate Q = 120 m\u00b3\/h = 0.0333 m\u00b3\/s (magnetic flowmeter)<\/li>\n<li>Suction pressure (gauge) = 1.2 bar absolute = 120 kPa<\/li>\n<li>Discharge pressure (gauge) = 5.4 bar absolute = 540 kPa<\/li>\n<li>Suction and discharge pipe diameters equal, negligible elevation change, negligible velocity head change<\/li>\n<li>Shaft speed n = 1,460 rpm (tachometer)<\/li>\n<li>Shaft torque T = 98 N\u00b7m (torque transducer)<\/li>\n<li>Motor input power P_motor = 16.2 kW (three-phase power analyzer at motor terminals)<\/li>\n<\/ul>\n<p><strong>Assumptions:<\/strong><\/p>\n<ul>\n<li>Water density \u03c1 = 998 kg\/m\u00b3<\/li>\n<li>g = 9.81 m\/s\u00b2<\/li>\n<li>Motor and pump on common baseplate, no gearbox or belt drive<\/li>\n<\/ul>\n<p><strong>Step 1: Calculate total dynamic head<\/strong><\/p>\n<p>\u0394P = 540 &#8211; 120 = 420 kPa<\/p>\n<p>H = \u0394P \/ (\u03c1 \u00b7 g) = 420,000 Pa \/ (998 kg\/m\u00b3 \u00d7 9.81 m\/s\u00b2) = 42.9 m<\/p>\n<p><strong>Step 2: Calculate hydraulic power<\/strong><\/p>\n<p>P_hydraulic = \u03c1 \u00b7 g \u00b7 Q \u00b7 H = 998 \u00d7 9.81 \u00d7 0.0333 \u00d7 42.9 = 13,980 W = 14.0 kW<\/p>\n<p><strong>Step 3: Calculate shaft power<\/strong><\/p>\n<p>P_shaft = (2\u03c0 \u00d7 1,460 rpm \u00d7 98 N\u00b7m) \/ 60 = 15,000 W = 15.0 kW<\/p>\n<p><strong>Step 4: Calculate pump efficiency<\/strong><\/p>\n<p>\u03b7_p = P_hydraulic \/ P_shaft = 14.0 \/ 15.0 = 0.933 = 93.3%<\/p>\n<p><strong>Step 5: Calculate motor efficiency at this load<\/strong><\/p>\n<p>\u03b7_m = P_shaft \/ P_motor = 15.0 \/ 16.2 = 0.926 = 92.6%<\/p>\n<p><strong>Step 6: Calculate wire-to-water efficiency<\/strong><\/p>\n<p>\u03b7_overall = P_hydraulic \/ P_motor = 14.0 \/ 16.2 = 0.864 = 86.4%<\/p>\n<p>Or equivalently: \u03b7_overall = \u03b7_p \u00d7 \u03b7_m = 0.933 \u00d7 0.926 = 0.864<\/p>\n<p><strong>Interpretation:<\/strong> The pump itself converts shaft power to hydraulic power at 93%, likely near its best efficiency point. The motor adds another 7.4 percentage points of loss. The overall system converts electrical input to useful hydraulic output at 86%, meaning 14% is lost as heat in the motor windings, pump bearings, and impeller-to-casing friction.<\/p>\n<h2>Measurement Uncertainty and Instrument Placement<\/h2>\n<p>Calculated efficiency is only as accurate as the measured inputs. Instrument uncertainties compound, so for acceptance testing or energy baseline records, follow instrument calibration and installation requirements, including straight-run piping upstream and downstream of flowmeters, transducer placement away from elbows and valves, and zero-drift checks before testing.<\/p>\n<p>Instrument placement defines which losses you capture. Measuring suction and discharge pressure at the pump flanges isolates the pump from suction piping losses and discharge piping losses up to the measurement taps. Moving pressure taps farther into the system includes pipe friction and fitting losses, lowering apparent pump efficiency because you are crediting the pump with head that was consumed by the system. For troubleshooting or trending, keep tap locations consistent across tests so efficiency changes reflect pump condition, not measurement drift.<\/p>\n<h2>Compare Efficiency at the Actual Duty Point<\/h2>\n<p>A centrifugal pump operating at 80 m\u00b3\/h may show 76% efficiency while the same pump at 120 m\u00b3\/h shows 68% efficiency. Neither value is wrong; they simply correspond to different points on the efficiency curve. The manufacturer&#8217;s datasheet efficiency is valid only at the specified duty point, often the best efficiency point or a rated condition chosen for the application.<\/p>\n<p>To verify whether measured efficiency matches expectations:<\/p>\n<ol>\n<li>Locate the manufacturer&#8217;s pump curve with efficiency contours or a tabulated efficiency-versus-flow table.<\/li>\n<li>Find the measured flow and head on the curve.<\/li>\n<li>Read the efficiency at that intersection.<\/li>\n<li>Compare measured efficiency (calculated from flow, head, and shaft power) to curve efficiency.<\/li>\n<\/ol>\n<p>If measured efficiency is significantly below curve efficiency and the pump is new or recently overhauled, suspect measurement error, wrong impeller diameter, or a mismatch between the installed pump and the curve you are referencing. If the pump has been in service, wear ring clearance growth, impeller erosion, or casing damage can degrade efficiency substantially before the pump fails to meet minimum flow or head.<\/p>\n<p>Efficiency near shutoff (zero flow) is zero because you deliver no hydraulic power but still consume shaft power to spin the impeller. Efficiency at runout (maximum flow, often with discharge valve fully open and low head) is also low because of hydraulic losses and recirculation at the impeller inlet. Operating a pump far from BEP increases energy waste and accelerates wear, so duty-point comparison is both a diagnostic tool and a design check.<\/p>\n<h2>Use Trending to Find System or Pump Degradation<\/h2>\n<p>Efficiency trending\u2014recording efficiency at the same duty point over weeks or months\u2014reveals degradation that single snapshots miss. A pump that starts service at 73% efficiency and drops to 65% after six months at the same flow and head has lost 8 percentage points, equivalent to roughly 12% more energy input for the same output. The cause may be:<\/p>\n<ul>\n<li><strong>Wear ring clearance growth<\/strong> allowing internal recirculation from discharge to suction.<\/li>\n<li><strong>Impeller damage<\/strong> from erosion, corrosion, or cavitation, reducing blade effective area or altering passage geometry.<\/li>\n<li><strong>Mechanical seal or bearing deterioration<\/strong> increasing mechanical friction.<\/li>\n<li><strong>Partial blockage<\/strong> in the suction or impeller eye, altering the inlet velocity profile.<\/li>\n<\/ul>\n<p>Trending requires consistent measurement. Record:<\/p>\n<ul>\n<li>Flow (m\u00b3\/h)<\/li>\n<li>Suction and discharge pressure (bar or kPa)<\/li>\n<li>Shaft speed (rpm)<\/li>\n<li>Shaft power or motor input power (kW)<\/li>\n<li>Liquid temperature (affects density and vapor pressure)<\/li>\n<li>Date and time<\/li>\n<\/ul>\n<p>Plot efficiency versus time. A gradual decline indicates progressive wear. A sudden drop points to a discrete event\u2014impeller impact damage, seal failure, or bearing seizure. Pair efficiency trending with vibration monitoring and seal-leakage inspection for a complete condition-based maintenance picture.<\/p>\n<p>Corrective actions depend on root cause. Worn wear rings can be replaced or machined back to tolerance. Damaged impellers can be dressed, rebuilt, or replaced. If efficiency loss exceeds energy cost savings from repair, replace the pump or upgrade to a higher-efficiency model, but confirm that the new pump&#8217;s BEP aligns with the system duty point to avoid trading one inefficiency for another.<\/p>\n<h2>\u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u0634\u0627\u0626\u0639\u0629<\/h2>\n<h3>What is the difference between pump efficiency and motor efficiency?<\/h3>\n<p>Pump efficiency measures how well the pump&#8217;s rotating assembly converts shaft mechanical power into hydraulic power in the liquid. Motor efficiency measures how well the motor converts electrical power into shaft mechanical power. They are independent values that multiply together to give overall system efficiency. A 75% efficient pump driven by a 90% efficient motor delivers 67.5% wire-to-water efficiency.<\/p>\n<h3>Can I use discharge pressure alone to calculate head?<\/h3>\n<p>No. Total dynamic head is the difference between discharge head and suction head, including pressure, elevation, and velocity terms. Using discharge pressure alone ignores the suction-side energy, leading to significant error when suction pressure is above or below atmospheric or when suction and discharge pipe diameters differ. Always subtract suction head from discharge head and account for elevation changes.<\/p>\n<h3>Why does my calculated efficiency exceed 100%?<\/h3>\n<p>An <a href=\"https:\/\/calculator.swiftutors.com\/pump-efficiency-calculator.html\" target=\"_blank\" rel=\"noopener\">efficiency above 100%<\/a> indicates measurement error, wrong units, or incorrect density. Common causes include mixing gauge and absolute pressure, using pressure in bar without converting to pascals, forgetting the 1,000 factor when expressing power in kilowatts while calculating head in meters, or using nameplate motor power instead of measured input power. Recheck each term&#8217;s units and confirm that you are dividing output by input, not the reverse.<\/p>\n<h3>How often should I recalculate pump efficiency?<\/h3>\n<p>For critical systems (fire pumps, reactor cooling, potable water supply), establish a baseline efficiency at commissioning and recheck quarterly or after any maintenance event that opens the pump. For general HVAC or irrigation pumps, annual checks aligned with seasonal startup or shutdown are sufficient. Any time you observe rising energy consumption, reduced flow, or increased vibration, calculate efficiency immediately to diagnose whether the pump or the system has changed.<\/p>\n<h3>Does specific speed affect the formula for efficiency calculation?<\/h3>\n<p>Specific speed determines the pump&#8217;s efficiency potential and the shape of its efficiency curve, but it does not change the formula. The calculation\u2014hydraulic power divided by shaft power\u2014remains the same regardless of impeller design; specific speed simply predicts what efficiency value is achievable at BEP for a given pump type based on its head-flow characteristics.<\/p>\n<h2>\u0627\u0644\u062e\u0627\u062a\u0645\u0629<\/h2>\n<p>Pump efficiency calculation delivers an actionable number only when you define the measurement boundary first, use consistent units, and compare the result to the manufacturer&#8217;s curve at the actual operating point. Record baseline efficiency at commissioning with calibrated instruments, then trend efficiency monthly or quarterly to catch wear ring clearance growth or impeller damage before energy waste or mechanical failure forces an unplanned shutdown. Pair the calculated efficiency with the pump&#8217;s certified performance curve and motor efficiency curve to confirm that the installed system matches design intent and that any deviation triggers a root-cause investigation rather than guesswork.<\/p>","protected":false},"excerpt":{"rendered":"<p>Calculate hydraulic, shaft, and overall pumping efficiency. Key calculations, limits, and field checks for pump efficiency calculation.<\/p>","protected":false},"author":5,"featured_media":8396,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[151],"tags":[216,73,71,233,153],"class_list":["post-8397","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pump-selection-and-calculations","tag-calculation","tag-efficiency","tag-head","tag-pump-efficiency-calculation","tag-pump-selection-and-calculations"],"_links":{"self":[{"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/posts\/8397","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/comments?post=8397"}],"version-history":[{"count":1,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/posts\/8397\/revisions"}],"predecessor-version":[{"id":9133,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/posts\/8397\/revisions\/9133"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/media\/8396"}],"wp:attachment":[{"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/media?parent=8397"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/categories?post=8397"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mislier.com\/ar\/wp-json\/wp\/v2\/tags?post=8397"}],"curies":[{"name":"\u062f\u0628\u0644\u064a\u0648 \u0628\u064a","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}