{"id":1055,"date":"2024-10-15T16:09:56","date_gmt":"2024-10-15T20:09:56","guid":{"rendered":"https:\/\/www.aquacure-jeffro-dev.linksdev.com\/?post_type=product-resource&#038;p=1055"},"modified":"2025-06-16T15:37:44","modified_gmt":"2025-06-16T19:37:44","slug":"ezekiels-wheen-calculations","status":"publish","type":"product-resource","link":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/product-resource\/ezekiels-wheen-calculations\/","title":{"rendered":"C\u00e1lculos de la Rueda de Ezequiel"},"content":{"rendered":"<p>Math is great, but actual physical tests are better if you can simulate the working principles closely enough. \u00a0There may be (and I suspect there are) things going on that the math isn\u2019t taking into account.<br \/>\nOnce you understand (and can physically prove) the working principles, you can do fine tuning to make an efficient machine\u2026 Maybe even one that is practical OU.<\/p>\n<p>Here are some thoughts to address what I consider to be the main issues:<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-1056 size-full\" src=\"https:\/\/aquacure-jeffro-dev.linksdev.com\/wp-content\/uploads\/2024\/10\/EzekielsWheelLables-1024x824-1.webp\" alt=\"\" width=\"1024\" height=\"824\" \/><\/p>\n<p>One of the things needed with any technology is setting standards so that people can talk to each other without confusion. Once there are standards, various tests and comments can be compared. \u00a0BTW, one person called it the EZ wheel; I liked that.<br \/>\nThe biggest issue to overcome is the torque needed to force the air chambers into the water reservoir. \u00a0Here is an experiment that\u2019ll help people understand the \u2018water pressure\u2019 issue\u2026 And try various things to reduce the pressure or help the wheel move against it.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-1057 size-full\" src=\"https:\/\/aquacure-jeffro-dev.linksdev.com\/wp-content\/uploads\/2024\/10\/EzekielsWheelTest2-1024x801-1.webp\" alt=\"\" width=\"1024\" height=\"801\" \/><\/p>\n<p>This is where some innovation is still required. \u00a0I have some ideas, which I\u2019ll introduce shortly. \u00a0Anything we can do here will increase the efficiency of the wheel.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-1058 size-full\" src=\"https:\/\/aquacure-jeffro-dev.linksdev.com\/wp-content\/uploads\/2024\/10\/EzekielsWheelTorqueExperiment-1024x729-1.webp\" alt=\"\" width=\"1024\" height=\"729\" \/><\/p>\n<p>Some people (including me) have trouble conceptualizing mathematical equations and sometimes the math is miss-applied or incorrect for the forces involved. \u00a0Here\u2019s a simple apparatus \/ experiment that\u2019ll help people \u2018get it right\u2019 and perhaps \u2018see\u2019 things that will help.<\/p>\n<p><strong>Like I can see<\/strong>\u00a0that most of the wheel\u2019s torque occurs in about a 60\u00b0 range, 30\u00b0 above and below horizontal. \u00a0Buoyancy and weight have much less effect on the wheel\u2019s power output above or below this \u2018torque range\u2019.<\/p>\n<p>Soooo maybe\u2026 if we configure the wheel\u2019s seals (and maybe water reservoir) so that the reservoir\u2019s water pressure can pressurize (be common) up to 30\u00b0 on the downward side, then the air chambers are entering the reservoir at a higher water level, where there is less water \u2018back-pressure\u2019.<\/p>\n<p>Yes, we lose some torque on the downward side but it\u2019s less effective torque anyway and we also lose back-pressure against the wheel.<br \/>\nAlso the buoyancy \u2018back-torque\u2019 on the downward side will be compensated by the buoyancy on the upward side; so except for friction, I think we end up with a net gain.<\/p>\n<p>It may even be that this effect is already happening naturally in the real wheel, with the 1\/16th inch clearances allowing limited water leakage, \u2018filling\u2019 and pressurizing the lower chambers on the downward side. \u00a0The pre-pressurization would allow the air chambers to enter the main reservoir with less back-pressure.<\/p>\n<p>1. As for which side of the axle the water reservoir should be on. \u00a0I see no great advantage to torque either way, so I like the idea of having the axle out of the reservoir.<\/p>\n<p>2. Yes, you do lose water out of the water chambers as they rise out of the water reservoir, but in my concept of \u2018lowering the water level\u2019 I specifically FILL the water chambers with a horizontal tube\/pipe\/channel that is on the outside of the wheel, at about the \u2018D\u2019 level.<\/p>\n<p>Lowering the water level reduces the back-pressure without seriously affecting the Ezekiel\u2019s Wheel torque, because (as you\u2019ll see if you do the torque experiment) any buoyancy \/ weight beyond 30\u00b0 above and below the horizontal to the axle quickly reduces to zero.<\/p>\n<p>3. \u00a0It also occurs to me, that since the most effective torque the wheel generates is in the 30\u00b0 range above and below the horizontal of the axle, that keeping the water chambers SEALED (away from reservoir pressure) until they reach about \u2018P\u2019 on the wheel, may also mitigate the reservoir water pressure since the air chambers would be entering the reservoir at that higher level.<\/p>\n<p>This would be a great modification to the \u2018water pressure\u2019 experiment (hole in the side of the bucket plugged with a cork). \u00a0I\u2019m not sure what would be the best method to represent this aspect\/idea\u2026 Maybe just lower the water level in the bucket appropriately?<\/p>\n<p>A combination of the two above ideas would allow the water weight to generate torque on the downward side from about \u2018D\u2019 to \u2018G\u2019, the area between \u2018H\u2019 and \u2018O\u2019 would be pretty much neutral, buoyancy would take over at about \u201917\u2019 and generate torque until about \u201920\u2019 and the wheel would be neutral over the top.<\/p>\n<p>\u2018Reverse\u2019 water pressure would be the water pressure from \u2018high level\u2019 (about \u2018T\u2019) to the entry at about \u201917\u2019. \u00a0So we\u2019d be having maximum torque with minimum back-pressure.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1059 size-full\" src=\"https:\/\/aquacure-jeffro-dev.linksdev.com\/wp-content\/uploads\/2024\/10\/EzWhighTorque-1024x788-1.webp\" alt=\"\" width=\"1024\" height=\"788\" \/><\/p>\n<p><strong>Here\u2019s a drawing of the concept<\/strong>. \u00a0In this case the water tank stays sealed to the wheel until the wheel enters the bottom of the reservoir\u2026 And there is an exterior horizontal water channel at the top, leading from the reservoir to the sealed side, which I didn\u2019t depict.<\/p>\n<p><strong>Calculating Torque.<\/strong><\/p>\n<p>Online torque calculator<br \/>\n<a href=\"http:\/\/frictionhinge.com\/calc.html\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/frictionhinge.com\/calc.html<\/a><\/p>\n<p>Torque of a water wheel<br \/>\n<a href=\"http:\/\/24volt.eu\/eng_kalkyl_vridmoment.php\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/24volt.eu\/eng_kalkyl_vridmoment.php<\/a><\/p>\n<p>Water Wheel torque formulas<br \/>\n<a href=\"http:\/\/ffden-2.phys.uaf.edu\/211_fall2010.web.dir\/Brooks\/water-wheel-physics.html\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/ffden-2.phys.uaf.edu\/211_fall2010.web.dir\/Brooks\/water-wheel-physics.html<\/a><\/p>\n<p><strong>FAQ: What is Buoyancy?<\/strong><\/p>\n<p><a href=\"http:\/\/www.newton.dep.anl.gov\/askasci\/phy05\/phy05225.htm\">http:\/\/www.newton.dep.anl.gov\/askasci\/phy05\/phy05225.htm<\/a><\/p>\n<p><a href=\"http:\/\/www.hp-gramatke.net\/pmm_physics\/english\/page0550.htm\">http:\/\/www.hp-gramatke.net\/pmm_physics\/english\/page0550.htm<\/a><\/p>\n<p><a href=\"https:\/\/www.physicsforums.com\/threads\/gravity-force-and-buoyancy.5208\/\">https:\/\/www.physicsforums.com\/threads\/gravity-force-and-buoyancy.5208\/<\/a><\/p>\n<p>Archimedes Wheel<br \/>\n<a href=\"http:\/\/www.nuenergy.org\/generator-driven-by-a-buoyancy-engine\/\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/www.nuenergy.org\/generator-driven-by-a-buoyancy-engine\/<\/a><\/p>\n<p><strong>Finding center of gravity and center of buoyancy.<\/strong><\/p>\n<p><a href=\"http:\/\/www.planetseed.com\/mathsolution\/floating-and-stability-center-buoyancy\">http:\/\/www.planetseed.com\/mathsolution\/floating-and-stability-center-buoyancy<\/a><\/p>\n<p><a href=\"http:\/\/www.engineeringtoolbox.com\/centre-gravity-buoyancy-d_1286.html\">http:\/\/www.engineeringtoolbox.com\/centre-gravity-buoyancy-d_1286.html<\/a><\/p>\n<p><a href=\"http:\/\/spot.pcc.edu\/~lkidoguc\/Aquatics\/AqEx\/Water_Buoyancy.htm\">http:\/\/spot.pcc.edu\/~lkidoguc\/Aquatics\/AqEx\/Water_Buoyancy.htm<\/a><\/p>\n<p><strong>\u2018Regular\u2019 Water Wheels:<\/strong><\/p>\n<p><a href=\"http:\/\/www.borstengineeringconstruction.com\/Overshot_Water_Wheel_Design_Calculator.html\">http:\/\/www.borstengineeringconstruction.com\/Overshot_Water_Wheel_Design_Calculator.html<\/a><\/p>\n<p><a href=\"http:\/\/www.borstengineeringconstruction.com\/Undershot_Water_Wheel_Design_Calculator.html\">http:\/\/www.borstengineeringconstruction.com\/Undershot_Water_Wheel_Design_Calculator.html<\/a><\/p>\n<p><a href=\"http:\/\/www.waterwheelplace.com\/main.html\">http:\/\/www.waterwheelplace.com\/main.html<\/a><\/p>\n<p><a href=\"http:\/\/www.permies.com\/t\/19874\/hydro\/rpm-water-wheel-wheel-high\">http:\/\/www.permies.com\/t\/19874\/hydro\/rpm-water-wheel-wheel-high<\/a><\/p>","protected":false},"featured_media":0,"template":"","meta":{"_acf_changed":false},"product-resource-group":[115],"restricted-resource-tag":[],"class_list":["post-1055","product-resource","type-product-resource","status-publish","hentry","product-resource-group-ezekiels-wheel"],"acf":[],"_links":{"self":[{"href":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/wp-json\/wp\/v2\/product-resource\/1055","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/wp-json\/wp\/v2\/product-resource"}],"about":[{"href":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/wp-json\/wp\/v2\/types\/product-resource"}],"wp:attachment":[{"href":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/wp-json\/wp\/v2\/media?parent=1055"}],"wp:term":[{"taxonomy":"product-resource-group","embeddable":true,"href":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/wp-json\/wp\/v2\/product-resource-group?post=1055"},{"taxonomy":"restricted-resource-tag","embeddable":true,"href":"https:\/\/aquacure-jeffro-dev.linksdev.com\/es\/wp-json\/wp\/v2\/restricted-resource-tag?post=1055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}