Effect of Induced Vorticity in the Vaneless Diffuser on Performance of a Centrifugal Compressor

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Abstract
The following equation represents the vorticity induced in the flow of the diffuser by a gradient in total pressure parallel to the axis of the compressor: Ω ¯ − Ω ¯ 2 = 2 V 2 g p ( dp t dz ) 2 ( r r 2 − 1 ) [ i ¯ tan α 2 r / r 2 ( r r 2 + 1 ) + j ¯ ] The ith component is the component of vorticity which is tangent to the flow direction while the jth component is that which is normal to the flow direction. The velocity and vorticity vectors are shown schematically in Fig. 1.

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