tag:blogger.com,1999:blog-5854741938955568545.post8999297718123633974..comments2024-08-01T05:37:53.777-07:00Comments on ElectricRCAircraftGuy.com--RC, Arduino, Programming, & Electronics: Propeller Static & Dynamic Thrust Calculation - Part 2 of 2 - How Did I Come Up With This Equation?Gabriel Stapleshttp://www.blogger.com/profile/10071071884455787806noreply@blogger.comBlogger67125tag:blogger.com,1999:blog-5854741938955568545.post-41748572620886290482024-05-02T03:21:38.212-07:002024-05-02T03:21:38.212-07:00Hello! May I ask the dimensions of the propeller y...Hello! May I ask the dimensions of the propeller you used? Specifically, the pitch angle of the propeller, propeller geometry such as the radius of the hub and its units, diameter of the propeller. Thank you!<br /> Unknownhttps://www.blogger.com/profile/16232235309885811990noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-6112667028391228762024-01-14T02:46:24.081-08:002024-01-14T02:46:24.081-08:00Bonjour, je suis étudiant et je fais une étude sur...Bonjour, je suis étudiant et je fais une étude sur la physique des drones fpv. Je pense que je vais utiliser votre formule pour estimer la poussée d'un drone. Connaissez vous des articles scientifique ou des thèses qui parlent de l'élaboration de cette formule. Pour la poussée statique, elle se rapproche de la formule d'Abbott non? J'aurais besoins de vrai articles scientifiques à pouvoir citer dans mon étude en plus de vous citer vous. Merci de prendre du temps pour me répondre. <br />Gaspard Ollier Gaspardhttps://www.blogger.com/profile/12840829465864204364noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-77030528688915371502023-06-17T13:37:11.894-07:002023-06-17T13:37:11.894-07:00Future questions and comments may optionally be le...<b>Future questions and comments may optionally be left on my newer website via GitHub here, where we can pick up the discussion: <a href="https://gabrielstaples.com/propeller-thrust-articles/" rel="nofollow">GabrielStaples.com: My propeller thrust articles</a>.</b> <br /><br />You'll need to create a GitHub account to leave a comment there, but it's worth it. We can edit comments there and have a much better conversation there.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-7317687463415048822022-11-23T05:30:40.722-08:002022-11-23T05:30:40.722-08:00hello, i am using your equation to determine how m...hello, i am using your equation to determine how many motors can be installed on my aircraft. i don't know if i am using it correctly or not . <br />so i am doing my bachelor thesis on conceptual design for a martian aircraft . and my aircraft have a mass of 13 kg, so by simple calculation i can obtain the highest Thrust needed for take off for my aircraft is 11.07259546 N. Then i am using your equation with a set of different propellers and motors to calculate the thrust produced by the propulsion group. my question is, which thrust should i use to get the thrust of the propulsion group. Because i see that the thrust decreases with the airspeed of the aircraft. So the more the velocity gets near the cruise speed, the lower the dynamic thrust. i am maybe confused. so i would be grateful if you can explain it to me heemahttps://www.blogger.com/profile/14022256487637150858noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-67026087824343699372022-08-02T16:51:56.619-07:002022-08-02T16:51:56.619-07:00You can also see Google scholar here for the citat...You can also see Google scholar <a href="https://scholar.google.com/scholar?cites=15855327635777671481&as_sdt=805&sciodt=0,3&hl=en" rel="nofollow">here</a> for the citation of my work called <a href="https://scholar.google.com/scholar?cluster=15855327635777671481&hl=en&as_sdt=805&sciodt=0,3" rel="nofollow">Propeller Static & Dynamic Thrust Calculation</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-4409479513957297182022-08-02T16:37:02.009-07:002022-08-02T16:37:02.009-07:00To find more, simply do a Google search for "...To find more, simply do a <a href="https://www.google.com/search?q=gabriel+propeller+thrust&oq=gabriel+propeller+thrust&aqs=chrome..69i57j69i64j69i65l3.2328j0j7&sourceid=chrome&ie=UTF-8" rel="nofollow">Google search for "gabriel propeller thrust"</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-62116724238964033442022-08-02T16:33:53.151-07:002022-08-02T16:33:53.151-07:00Here is one of the many research papers which refe...Here is <a href="https://www.researchgate.net/publication/315684388_THEORETICAL_AND_EXPERIMENTAL_EVALUATION_OF_PROPELLER_THRUST_WITH_RESPECT_TO_FREE_STREAM_VELOCITY_AND_RPM_FOR_A_MAV" rel="nofollow">one of the many research papers which references my equation</a>. Take a look at Figure 11 on pg 9 to see my equation's theoretical thrust curve plotted against real data. Figure 17 on p11 shows more. They plot Thust - Drag curves with theoretical (T - D_The) and experimental (T - D_Exp) data. Again, the "theoretical" data they use is using my thrust equation. Pretty good results if you ask me!Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-24334416185534308862022-03-03T13:08:35.898-08:002022-03-03T13:08:35.898-08:002nd question you had: how can you measure flight s...2nd question you had: how can you measure flight speed? <br /><br />1. The best way is with a pitot-static tube, which is a little tube you have sticking out the front of an airplane, either on the nose or on the front of a wing, or sticking off the fuselage and aiming forwards. A pitot tube measures total pressure of the air. P_total = P_static (regular air pressure) + P_dynamic (pressure due to moving forwards and ramming into the air). P_dynamic = q = 1/2 * rho * V^2. V is velocity, so you can back out the velocity, accounting for air compressibility effects and shock waves if traveling at high speeds. For < 100m/s (224mph) you can assume air is incompressible and the calculation is straightforward. rho = air density and is about 1.225 kg/m^3, but varies based on altitude and daily fluctuations. Use the standard atmosphere table for estimates based on altitude: <a href="https://www.engineeringtoolbox.com/standard-atmosphere-d_604.html" rel="nofollow">https://www.engineeringtoolbox.com/standard-atmosphere-d_604.html</a>.<br /><br />2. You can also use GPS, but keep in mind you'd need to account for wind to get true airspeed, not ground speed.<br /><br />3. Lastly, you can record the audio (or video + audio) of the airplane flying by you, and using the doppler effect can calculate its ground speed (again, you'd have to account for wind to get true airspeed) based on how the pitch of the sound changes as it flies towards and then away from you. I have a nice writeup of that in my RC Aircraft book for $4.99. You can read how to do that on p67-80. Purchase that PDF book here: <a href="https://gabrielstaples.gumroad.com/l/YBRnP" rel="nofollow">https://gabrielstaples.gumroad.com - The Details of Electric Radio Controlled Aircraft (ebook)</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-4915268311790042602022-03-03T12:54:47.175-08:002022-03-03T12:54:47.175-08:00Raul, I deleted your duplicate comment below. RPM,...Raul, I deleted your duplicate comment below. RPM, pitch, diameter, AND airspeed (V0) are **all** input parameters. The only output parameter is thrust. You see, thrust is maximum when the airplane isn't moving. This is called "static thrust". Since the air starts at a stand-still, it has a lot of acceleration to do, and therefore produces a lot of thrust, as the propeller accelerates the air from zero to some large airspeed. As the airplane begins moving forward, however, the delta velocity (and hence, acceleration) which the air can do is decreased, since it's already moving relative to the airplane, so thrust decreases. Thrust decreases as airspeed increases. They are tied together. The way full-scale airplanes counter this is they have **variable pitch** propellers. They increase the pitch as the airplane speeds up, thereby keeping a constant relative angle of attack of the propeller to the incoming air, which helps them keep thrust more constant as the airplane accelerates. See Figure 4 at the bottom of the article for a depiction of this. Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-28374814033143120472022-03-02T09:39:13.924-08:002022-03-02T09:39:13.924-08:00This comment has been removed by a blog administrator.raulhttps://www.blogger.com/profile/16651578224976071201noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-71265652648742559682022-03-02T09:37:43.620-08:002022-03-02T09:37:43.620-08:00Hello , supossedly isn´t it stated that rpm, pitch...Hello , supossedly isn´t it stated that rpm, pitch ,diameter are input parameters and flight speed and dynamic thrust are output parameters? Or how can i come up with the flight speed of airborne aircraft?Because the plot (Thrust vs Vo) showcase a range of Vo , but should not that Vo be a fixed Vo for the input parameters likewise Thrust? Thanksraulhttps://www.blogger.com/profile/16651578224976071201noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-5686843297662218522022-02-01T14:54:40.917-08:002022-02-01T14:54:40.917-08:00Enter your comment...explain slow how to know the ...Enter your comment...explain slow how to know the pitch and in equation 15 (A part) is it pure multiplication Anonymoushttps://www.blogger.com/profile/00556338518856286445noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-51538338824845229942021-09-29T10:53:27.849-07:002021-09-29T10:53:27.849-07:00Yes, so long as the propellers are in a side-by-si...Yes, so long as the propellers are in a side-by-side configuration, NOT a stacked configuration. Ex: X-4 configuration is fine; just sum the 4 motor thrusts. X-8 configuration will have additional error though, because each arm has 2 motors with the propellers stacked on top of each other, causing thrust interference and meaning my equation is not as accurate for that situation. See also <a href="https://www.electricrcaircraftguy.com/2014/04/propeller-static-dynamic-thrust-equation-background.html?showComment=1632937760930#c257941729645350640" rel="nofollow">my comment here from September 29, 2021 at 10:49 AM</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-87808769008472540562021-09-29T10:51:27.514-07:002021-09-29T10:51:27.514-07:00Yes.Yes.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-80234623921911044232021-09-29T10:50:50.950-07:002021-09-29T10:50:50.950-07:00See my comment here from September 29, 2021 at 10:...See <a href="https://www.electricrcaircraftguy.com/2014/04/propeller-static-dynamic-thrust-equation-background.html?showComment=1632937760930#c257941729645350640" rel="nofollow">my comment here from September 29, 2021 at 10:49 AM</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-5736628221824841232021-09-29T10:50:42.955-07:002021-09-29T10:50:42.955-07:00See my comment here from September 29, 2021 at 10:...See <a href="https://www.electricrcaircraftguy.com/2014/04/propeller-static-dynamic-thrust-equation-background.html?showComment=1632937760930#c257941729645350640" rel="nofollow">my comment here from September 29, 2021 at 10:49 AM</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-2579417296453506402021-09-29T10:49:20.930-07:002021-09-29T10:49:20.930-07:00Go to the first article, click the spreadsheet lin...Go to <a href="https://www.electricrcaircraftguy.com/2013/09/propeller-static-dynamic-thrust-equation.html" rel="nofollow">the first article</a>, click the spreadsheet link, follow the directions at the top of the spreadsheet, insert your values and view the output thrust at the desired airspeed. Multiply the value by the number of motors you have producing this thrust.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-42363757439428950432021-09-29T03:29:53.189-07:002021-09-29T03:29:53.189-07:00TWIN / DUAL PROPELLER AND MOTOR
DIAMETER = 24 INC...TWIN / DUAL PROPELLER AND MOTOR <br />DIAMETER = 24 INCHES <br />PITCH = 9 INCHES <br />RPM = 3741 <br />Please help me dynamic thrust calculation for this configuration of twin / dual motor Anonymoushttps://www.blogger.com/profile/05027021746368583779noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-7432692340936509452021-09-29T03:26:05.587-07:002021-09-29T03:26:05.587-07:00I want to calculate dynamic thrust for two motors ...I want to calculate dynamic thrust for two motors with two propeller both propeller having same diameter and pitch and rpm <br />diameter = 24 inches <br />pitch = 8 inches <br />rpm = 3741 <br />please help me with how to calculate dynamic thrust with this data ( assume other variables ) <br />Anonymoushttps://www.blogger.com/profile/05027021746368583779noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-69713591634141093432021-09-28T22:32:36.799-07:002021-09-28T22:32:36.799-07:00How to calculate Dynamic thrust of dual motor havi...How to calculate Dynamic thrust of dual motor having two propellers?<br />Jayeshhttps://www.blogger.com/profile/13745189151030795916noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-31494099588996645122021-09-28T09:34:59.536-07:002021-09-28T09:34:59.536-07:00Just use the standard 1x motor / 1x 2-bladed prope...Just use the standard 1x motor / 1x 2-bladed propeller equation above, and sum the thrusts. This assumes the motors are both pulling or pushing in the same direction. If you have 1 motor producing 2.2 lb of thrust and another producing 2.3 lb of thrust, add the two together to have a total thrust of 2.2 lb + 2.3 lb = 4.5 lb, again, assuming their thrust is being produced in the same direction.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-9212436316909759032021-09-28T06:31:47.196-07:002021-09-28T06:31:47.196-07:00What is the formula for dynamic thrust calculation...What is the formula for dynamic thrust calculation for dual / twin motor ( two motor with two propeller )Anonymoushttps://www.blogger.com/profile/05027021746368583779noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-63461277200779846152021-01-19T15:10:48.197-08:002021-01-19T15:10:48.197-08:00Are these equations specifically for 2 bladed prop...Are these equations specifically for 2 bladed propellers? Anonymoushttps://www.blogger.com/profile/15248797801615290467noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-73761662669413993162020-12-24T11:56:30.686-08:002020-12-24T11:56:30.686-08:00Please see these comments about 3-bladed props, mu...Please see these comments about 3-bladed props, multi-bladed props, number of blades, etc.: <a href="https://www.electricrcaircraftguy.com/2014/04/propeller-static-dynamic-thrust-equation-background.html?showComment=1401497360928#c4348409272506596959" rel="nofollow">comment 1</a>, <a href="https://www.electricrcaircraftguy.com/2013/09/propeller-static-dynamic-thrust-equation.html?showComment=1380029669095#c839465916124560787" rel="nofollow">comment 2</a>, <a href="https://www.electricrcaircraftguy.com/2013/09/propeller-static-dynamic-thrust-equation.html?showComment=1508737294388#c2046412342224088407" rel="nofollow">comment 3</a>.Gabriel Stapleshttps://www.blogger.com/profile/10071071884455787806noreply@blogger.comtag:blogger.com,1999:blog-5854741938955568545.post-28185788034586758322020-12-24T02:37:11.980-08:002020-12-24T02:37:11.980-08:00hi, im designing an airboat. i look the catalog of...hi, im designing an airboat. i look the catalog of airboat propeller. There variety type which is the size of the blade and the number of blade. can you explain me more how can i relate this equation with size of blade and number of blade in 1 hub ?<br />Anonymoushttps://www.blogger.com/profile/07155777636162085216noreply@blogger.com