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A numerical approach to predict the rotating stall in the vaneless diffuser of a centrifugal compressor using the eigenvalue method

Hu C., Liu P., Zhu X., Chen H., Du Z.

Journal of Theoretical and Applied Mechanics

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2017

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Vol. 55 nr 2

635--647

EN

A two-dimensional incompressible flow model is presented to study the occurrence of rotating stall in vaneless diffusers of centrifugal compressors. The diffuser considered has two parallel walls, and the undisturbed flow is assumed to be circumferentially uniform, isentropic, and to have no axial velocity. The linearized 2D Euler equations for an incompressible flow in a fixed frame of the coordinate system are considered. After discretization by a spectral collocation method based on Chebyshev-Gauss-Lobatto points, the generalized eigenvalue problem is solved through the QZ algorithm. The compressor stability is judged by the imaginary part of the eigenvalue obtained. Based on the 2D stability analysis, the influence of inflow angle, radius ratio and wave number are studied. The results from the present stability analysis are compared with some experimental measurement and Shen’s model. It is showed that diffuser instability increases rapidly and the stall rotational speed decreases quickly with an increase in the diffuser radius ratio. The largest critical inflow angle can be obtained when the wave number is around 3 ∼ 5 for the radius ratio between 1.5 to 2.2. It is also verified that the stability model proposed in this paper agrees well with experimental data and has the capability to predict the onset of rotating stall, especially for wide diffusers.

2

Projektowanie i wyznaczanie własności hydrauliczno-energetycznych stopnia odśrodkowych pomp wielostopniowych o zadanej charakterystyce przepływu

Staniszewski J.

Zeszyty Naukowe. Rozprawy Naukowe / Politechnika Łódzka

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2010

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Z. 391

3-166

PL

Praca dysertacyjna dotyczy metodyki projektowania geometrii układu przepływowego i określania własności hydrauliczno-energetycznych stopni odśrodkowych pomp wielostopniowych złożonych z wirnika, typowego dla nich dyfuzora bezło-patkowego, odśrodkowego dyfuzora łopatkowego, bezłopatkowego przewału oraz dośrodkowego dyfuzora łopatkowego, bazując na zadanej charakterystyce przepływu pompy H = f (Q) (Ψ = f (φ)) określonej wielomianem stopnia czwartego. W pracy przedstawiono zależności określające współczynniki strat hydraulicznych, niezbędne do sporządzania bilansu energii, strat hydraulicznych i przyrostu ciśnień statycznych wykorzystywanych do analizy i oceny zaprojektowanej geometrii wirnika i nieruchomych elementów przepływowych stopnia pompy wielostopniowej.

EN

Dissertation work refers to the design methodology of the flow system geometry and determines hydraulic properties Centrifugal stages of the multistage pumps composed of the impeller, typical for it vaneless diffuser, vaned diffuser channel, vaneless U-turn channel and vaned return channel, basing on the given characteristic of pump flow H = f(Q) (Ψ = f(φ)) described by four power polynomials. In the work were presented correlations describing coefficients of hydraulic loss, indispensable to prepare the energy balance, hydraulic loss and the increase of static pressures used in analysis and estimation of designed geometry of the impeller and stationary flow components of the multistage pumps.

3

Leading edge skewed-swept diagonal compressor rotor and numerical analysis on its internal flow mechanism

Zhou B., You B., Wu W., Wu K-Q.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

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2009

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Vol. 13, No 1-2

33-43

EN

The structure of each part of a diagonal compressor directly affects its overall performance and internal flow. We introduce the Reynolds-averaged Navier-Stokes flow simulation for unit calculation on the whole system including a diagonal impeller, a vaneless diffuser and a volute. By analyzing different flow chromatograms of specific sections, we can compare the configuration of three types of diffusers and volutes and the meridian flow status of the corresponding diagonal compressors which serves as a basis for the impeller flow path as well as for its matching designs. Considering the interference between the rotor and the upstream and downstream stillness body, this thesis analyzes how the vaneless diffuser meridian flow path, the volute flow path and its section secondary flow affect the upstream rotor flow. Both the calculation and experimental data on the rotor outlet are compared, as well as the calculated numerical value of the meridian plane streamline distribution and the diffuser velocity distribution, upstream and downstream, coincides with the designed numerical value. Without changing the conventional quasi-three-dimensional design system, the thesis applies the annulus wall boundary layer theory and the velocity distribution diagram to sweep and skew the leading edge of the airfoil. A performance test shows that the leading edge skewed-swept diagonal rotor can better improve the stall characteristic in a low flow rate area and expand the surge margin, compared with conventional diagonal rotor. It can also efficiently restrain the low-momentum fluid conglomeration near the wall region and reduce the secondary flow loss by sweeping and skewing the blade properly. The purpose of the thesis is to make a contribution to optimizing the overall structure design of diagonal compressors and to study further the complex internal flow between the leading edge skewed-swept diagonal rotor and the cover.