Automotive Radial Turbine Expander Design WHR

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Automotive Radial Turbine Expander Design WHR ( automotive-radial-turbine-expander-design-whr )

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95 4.3.3 Velocity Ratio, 𝒗𝒔 Velocity ratio is the ratio between the rotor blade speed and the spouting velocity, as expressed by equation (β€Ž4-3). Spouting velocity 𝐢0is the velocity obtained if the entire isentropic enthalpy drop is converted into speed, as expressed by equation (β€Ž4-4). 𝑣𝑠 = π‘ˆ4 (β€Ž4-3) 𝐢0 𝐢0 = 2βˆ†π‘•π‘–π‘  (β€Ž4-4) Dixon and Hall [197] recommended that for the best turbine efficiency, the velocity ratio should fall in the range 0.68 ≀ 𝑣 ≀ 0.71. 4.3.4 Degree of Reaction, 𝑹 Stage reaction is the ratio of static enthalpy drop at the rotor to the total enthalpy change across the stage, as expressed by equation(β€Ž4-5). Aungier [234] suggested that the stage reaction shouldfall in the range of 0.45 ≀ 𝑅 ≀ 0.65 for enhancedturbine performance. 𝑅= 𝑕4βˆ’π‘•5 𝑕01 βˆ’ 𝑕05 4.3.5 Flow 𝝋 and Loading Ρ° Coefficients (β€Ž4-5) Flow and loading coefficients are extensively used in axial turbines [232]. Flow coefficient πœ‘ is a characteristic of the mass flow behaviour through the stage and defined as the ratio of the exit meridional velocity to the inlet blade speed. Loading coefficient Ρ° is a measure of the work and loading of the stage. Equations(β€Ž4-6)and (β€Ž4-7) present the flow and loading coefficients, respectively. πœ‘= πΆπ‘š5 π‘ˆ4 (β€Ž4-6)

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