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CHAPTER 3: Methodology for Developing Radial Inflow Turbine (RIT) similar machines and to scale existing designs to different sizes (Whitfield et al. 1990). Following (Whitfield et al. 1990), the basic parameters that influence the behaviour of a turbomachine are collected in the form of a functional relation shown by Equation 3-1 . π(π ,π,πΜ ,π ,π ,π ,π ,π ,πΎ,ΞΌ) = 0 Equation 3-1 4 π‘,1 π‘,1 π‘,5 π‘,5 Where d4 is the rotor inlet diameter, Ο is the rotational speed, πΜ is the mass flow rate, Pt,1 and Tt,1 are the turbine inlet total pressure and temperature, Pt,5 and Tt,5 are the turbine exit total pressure and temperature, R is the gas constant, Ξ³ is the specific heat capacity ratio and ΞΌ is the dynamic viscosity. Application of dimensional analysis reduces the full dimensional parameters to a smaller non-dimensional group as depicted by Equation 3-2. Equation 3-2 With the assumption of single working fluid passing through the turbine and fully developed turbulent flow regime, Equation 3-2 is simplified into more common forms as shown below: π π πΜ β πΎπ‘ ππ4π Ξ·π‘π =π πΈπ π‘π , (π‘4) π2 ,60βπ ππΎ,π π,πΎ πππ‘ Ξ·π‘π = π(Ο, Ο, ππ) Ξ· = π(π ,π ,ππ) π‘π π π Ξ·π‘π = π(Ο, Ο , ππ) Equation 3-3 Equation 3-4 Equation 3-5 Where Ο, Ο, Ns, ds and Ο are the flow and loading coefficients, specific speed, specific diameter and isentropic velocity ratio respectively defined as following: π = πΆπ5 π4 π = π₯hπππ‘π’ππ π2 4 Equation 3-6 Equation 3-7 55 | P a g ePDF Image | SMALL-SCALE RADIAL INFLOW TURBINE FOR WHR ORC
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