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CHAPTER 3: Methodology for Developing Radial Inflow Turbine (RIT) 𝑓=8 (8)12+ 2.457𝑙𝑛( 1 ) ̅̅̅̅ 7 + ( ̅̅̅̅ ) 𝑅𝑒 16 1 −1.5 12 𝑅𝑒 ( (̅̅̅̅)0.9 + 0.27𝑅𝑅 (( 𝑅𝑒 ) 37530 16 Equation 3-39 ) ) RR is the wall relative roughness with the value of 0.0002m suggested by ̅̅̅̅ (Suhrmann et al. 2010) and is assumed to be constant throughout this chapter. 𝑅𝑒 is the averaged Reynolds number between the rotor inlet and exit and is determined by Equation 3-40 𝑈4𝑏4𝜌4 + 𝑈5𝑏6𝜌5 𝜇5 Equation 3-40 The rotor hydraulic length (lhyd) and hydraulic diameter (dhyd) are obtained using Equation 3-41 and 3-42 respectively (Glassman et al. 1976, Moustapha et al. 2003). 𝑏42 𝑏52 𝑙h𝑦𝑑 = 𝜋√(𝑟−𝑟 +)+() 4 5,𝑡𝑖𝑝 2 2 Equation 3-41 ̅̅̅ 𝑅𝑒 = 𝜇4 2 22 () 𝑑h𝑦𝑑=0.5( 2𝜋𝑟4 + 𝑍𝑟𝑜𝑡𝑜𝑟𝑏4 𝜋(𝑏5) + 𝑍𝑟𝑜𝑡𝑜𝑟(𝑏5) 4𝜋𝑟 𝑏 4 4 + 2𝜋(𝑟2 − 𝑟2 ) 5,𝑡𝑖𝑝 5,h𝑢𝑏 ) Equation3-42 The rotor mean radius of curvature (rc) which represents the curvature of the mean- line is obtained based on the geometry of the rotor blade hub and tip contours (circular and elliptical respectively) and by averaging the radius of the mean-line at the rotor inlet and exit that led to Equation 3-43. 72 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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