PDF Publication Title:
Text from PDF Page: 010
Mathematics 2020, 9, 50 10 of 30 Table 3. Definitions of blade thickness coefficients. Shroud Hub C=− B Mathematics 2020, 8, x FOR PEER REVIEW F=−2θ4 + 1 cotβ5h +cotβ4 m3 m2 r5h rr D = cotβ5h B= 1 cotβ4 −cotβ5s E= 3θ4 − 1 2cotβ5h +cotβ4 m2 r4 r5s m2 m4 r5h rr 4 4 A = cotβ5s r5s r5h 2m4 4 4 10 of 34 Mathematics 2020, 8, x FOR PEER REVIEW Figure 7. Meridional profiles of the turbine blade. Figure 7. Meridional profiles of the turbine blade. 11 of 34 In the current study, the blade is not radially fibred. The blade distribution of blade angles is determined by the numerical integration of Equations (15) and (16), where 𝑚 is the meridional distance along the 𝑍−𝑅 contour, Figure 7. The coefficients 𝐴 to 𝐹 are summarized in Table 3. Equation (15) is the blade camber-line along the shroud contour, whereas Equation (16) is the camber- line along the hub contour. The distribution of the blade angle is shown in Figure 8. 𝜃(𝑚)=𝐴𝑚+𝐵𝑚2 +𝐶𝑚4 (15) 𝜃(𝑚)=𝐷𝑚+𝐸𝑚2 +𝐹𝑚4 (16) Table 3. Definitions of blade thickness coefficients. Shroud 𝐴 = 𝑐𝑜𝑡𝛽5𝑠 Hub 𝐷 = 𝑐𝑜𝑡𝛽5h 𝑟5𝑠 𝐵= 1 [𝑐𝑜𝑡𝛽4−𝑐𝑜𝑡𝛽5𝑠] 𝐸=3𝜃4− 1 [2𝑐𝑜𝑡𝛽5h+𝑐𝑜𝑡𝛽4] 𝑚2 𝑟 𝑟 𝑚2 𝑚 𝑟 𝑟 445𝑠 445h𝑟 𝐶=− 𝐵 𝐹=−2𝜃4+1[𝑐𝑜𝑡𝛽5h+𝑐𝑜𝑡𝛽4] 2𝑚 𝑚3𝑚2𝑟𝑟 4 445h𝑟 Figure 8. DistributioFnigoufrreo8t.oDr bisltardibeuatinognleosf.rotor blade angles. BladethicknBelsasdiestdhisictrkibnuestesdisindtihstrreieburetgedionins,tnharmeelrye,glieoandsin,gn-aemdgel,y,mleraidionnga-eldpgroef,ilme,earnidional trailing edgep.rAofis lwe,ilalnbde tsrhaoiwlinglaetdegr,eb. lAadsewroilol tbies stheowlocnaltaiotenr,wbhlaerdeesrtoreostsiisstthe lhoicgahteiostn. Twhheerreefosrter,ess is the highest. Therefore, this region must be the thickest to improve the weight distribution this region must be the thickest to improve the weight distribution of the blade. To obtain thick root, of the blade. To obtain thick root, the blade is tapered from hub to tip. Thicknesses at inlet the blade is tapered from hub to tip. Thicknesses at inlet and exit of the leading edge and trailing and exit of the leading edge and trailing edge, Figure 9, are calculated using Equations (17)– edge, Figure 9, are calculated using Equations (17)–(20) [27,58]. 𝑡5𝑡 and 𝑡5h are the tip and hub exit (20) [27,58]. t and t are the tip and hub exit thicknesses and obtained from the mean-line thicknesses and obtained5ftrom th5eh mean-line model [31]. In the current study, the blade thickness at the hub (𝐿𝐸h) is obtained using Equation (20) to keep thicker root. Figure 9 also presents the developed 3D rotor blade. 𝑇𝐸𝑡= 𝑡5𝑡 (17) 𝑐𝑜𝑠𝛽5𝑡 𝑟5hPDF Image | Generation of 3D Turbine Blades for Automotive ORC
PDF Search Title:
Generation of 3D Turbine Blades for Automotive ORCOriginal File Name Searched:
mathematics-09-00050.pdfDIY PDF Search: Google It | Yahoo | Bing
NFT (Non Fungible Token): Buy our tech, design, development or system NFT and become part of our tech NFT network... More Info
IT XR Project Redstone NFT Available for Sale: NFT for high tech turbine design with one part 3D printed counter-rotating energy turbine. Be part of the future with this NFT. Can be bought and sold but only one design NFT exists. Royalties go to the developer (Infinity) to keep enhancing design and applications... More Info
Infinity Turbine IT XR Project Redstone Design: NFT for sale... NFT for high tech turbine design with one part 3D printed counter-rotating energy turbine. Includes all rights to this turbine design, including license for Fluid Handling Block I and II for the turbine assembly and housing. The NFT includes the blueprints (cad/cam), revenue streams, and all future development of the IT XR Project Redstone... More Info
Infinity Turbine ROT Radial Outflow Turbine 24 Design and Worldwide Rights: NFT for sale... NFT for the ROT 24 energy turbine. Be part of the future with this NFT. This design can be bought and sold but only one design NFT exists. You may manufacture the unit, or get the revenues from its sale from Infinity Turbine. Royalties go to the developer (Infinity) to keep enhancing design and applications... More Info
Infinity Supercritical CO2 10 Liter Extractor Design and Worldwide Rights: The Infinity Supercritical 10L CO2 extractor is for botanical oil extraction, which is rich in terpenes and can produce shelf ready full spectrum oil. With over 5 years of development, this industry leader mature extractor machine has been sold since 2015 and is part of many profitable businesses. The process can also be used for electrowinning, e-waste recycling, and lithium battery recycling, gold mining electronic wastes, precious metals. CO2 can also be used in a reverse fuel cell with nafion to make a gas-to-liquids fuel, such as methanol, ethanol and butanol or ethylene. Supercritical CO2 has also been used for treating nafion to make it more effective catalyst. This NFT is for the purchase of worldwide rights which includes the design. More Info
NFT (Non Fungible Token): Buy our tech, design, development or system NFT and become part of our tech NFT network... More Info
Infinity Turbine Products: Special for this month, any plans are $10,000 for complete Cad/Cam blueprints. License is for one build. Try before you buy a production license. May pay by Bitcoin or other Crypto. Products Page... More Info
CONTACT TEL: 608-238-6001 Email: greg@infinityturbine.com (Standard Web Page)