A Detailed Analysis of Radial Turbines

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A Detailed Analysis of Radial Turbines ( a-detailed-analysis-radial-turbines )

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The deviation is given by. δ6 = β6 − α6 (3.55) The flow path length, needed to determine the profile loss, can be integrated using the following expression sinβ The flow area at every station is determined according to. A = b(2πrsinβ−tNN) L = 􏰎 m dm (3.56) (3.57) 0 At the inlet station to every section all flow data can be calculated using the upstream flow angle and a mass balance. The flow data at the mid station of each section can also be calculated using a mass balance and assuming that α = β. At the exit station the losses need to be taken into account. The profile loss is approximated using the assumptions in the sub chapter about bound- ary layer. To approximate the incidence loss Aungier uses a relationship which includes a parameter called ”optimum incidence angle”, i∗. It is defined below. ∗ 􏰬L 􏰣 􏰬10t5 |β6 −β4|􏰤 |β6 −β4| i = s 3.6 L + 3.4 − 2 (3.58) 6 This relationship was originally developed by Herrig et al. [9]. The corresponding optimal flow angle is defined as. α∗ = β4 − i∗ sign(β6 − β4) (3.59) The incidence loss can now be calculated. Yinc = sin2(α4 − α∗)p04 − p4 (3.60) p06 − p6 Baines also derives an expression which correlates the enthalpy loss over the nozzle blade, [3]. 0.05 􏰘tan2 β6 o􏰙 ξ = Re0.2 s/c + b (3.61) b It can be noted that Baines correlation is much easier to apply. 30

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