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Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

Fluid Mechanics and Thermodynamics of Turbomachinery, 5e

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238 <strong>Fluid</strong> <strong>Mechanics</strong>, <strong>Thermodynamics</strong> <strong>of</strong> <strong>Turbomachinery</strong><br />

Vaned diffusers<br />

a 2<br />

rdq<br />

FIG. 7.15. Element <strong>of</strong> flow path in radial diffuser.<br />

In the vaned diffuser the vanes are used to remove the swirl <strong>of</strong> the fluid at a higher<br />

rate than is possible by a simple increase in radius, thereby reducing the length <strong>of</strong> flow<br />

path <strong>and</strong> diameter. The vaned diffuser is advantageous where small size is important.<br />

There is a clearance between the impeller <strong>and</strong> vane leading edges amounting to about<br />

0.04D2 for pumps <strong>and</strong> between 0.1D2 to 0.2D2 for compressors. This space constitutes<br />

a vaneless diffuser <strong>and</strong> its functions are (i) to reduce the circumferential pressure gradient<br />

at the impeller tip, (ii) to smooth out velocity variations between the impeller tip<br />

<strong>and</strong> vanes, <strong>and</strong> (iii) to reduce the Mach number (for compressors) at entry to the vanes.<br />

The flow follows an approximately logarithmic spiral path to the vanes after which<br />

it is constrained by the diffuser channels. For rapid diffusion the axis <strong>of</strong> the channel is<br />

straight <strong>and</strong> tangential to the spiral as shown. The passages are generally designed on<br />

the basis <strong>of</strong> simple channel theory with an equivalent angle <strong>of</strong> divergence <strong>of</strong> between<br />

8deg <strong>and</strong> 12deg to control separation. (See remarks in Chapter 2 on straight-walled<br />

diffuser efficiency.)<br />

In many applications <strong>of</strong> the centrifugal compressor, size is important <strong>and</strong> the outside<br />

diameter must be minimised. With a vaned diffuser the channel length can be crucial<br />

r<br />

dr

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