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Theoretical, Numerical and Experimental Investigation of the Flow in Rotor-Stator Cavities with Application to a Centrifugal Pump
In the present work, the complex flow in rotor-stator cavities is investigated by means of analytical, numerical and experimental approaches. This kind of flow can be found in nearly all kinds of turbomachinery in the side chambers located between the rotating impeller and the stationary casing. The flow conditions in these small side gaps have a strong impact on the overall losses (disk friction and leakage) and thus the efficiency of the machine. Many more effects are related to the side chamber flow such as the resulting axial force on the impeller, rotordynamic issues or acoustic resonances. The present manuscript is structured into three parts. In the first part, a new one-dimensional flow model is derived on the basis of a simplified model of the side chamber flow which allows the determination of the radial tangential velocity distribution as the major flow parameter. Related parameters such as the radial pressure distribution or the frictional resistance can then be calculated thereafter. The underlying, fundamental differential equation is derived from two different approaches. First, the derivation is shown emerging from the Navier-Stokes equations in cylindrical coordinates by applying several simplifications. Secondly, the principal of conservation of angula momentum is applied to a small cylindrical volume element located between a rotating and a stationary disk. Based on a substantial literature review, it is assumed in the derivation that a boundary layer flow structure with two boundary layers on the rotating and the stationary wall, separated by an inviscid core region, establishes. The flow model accounts for the influence of the outer cylindrical wall by means of an additional correction function. Moreover, a new approach for the determination of the friction factors is introduced based on the logarithmic law of the wall whereas usually the empirical resistance law according to Blasius is employed by most researchers. Comparisons with available experimental data from the literature as well as ...
Theoretical, Numerical and Experimental Investigation of the Flow in Rotor-Stator Cavities with Application to a Centrifugal Pump
In the present work, the complex flow in rotor-stator cavities is investigated by means of analytical, numerical and experimental approaches. This kind of flow can be found in nearly all kinds of turbomachinery in the side chambers located between the rotating impeller and the stationary casing. The flow conditions in these small side gaps have a strong impact on the overall losses (disk friction and leakage) and thus the efficiency of the machine. Many more effects are related to the side chamber flow such as the resulting axial force on the impeller, rotordynamic issues or acoustic resonances. The present manuscript is structured into three parts. In the first part, a new one-dimensional flow model is derived on the basis of a simplified model of the side chamber flow which allows the determination of the radial tangential velocity distribution as the major flow parameter. Related parameters such as the radial pressure distribution or the frictional resistance can then be calculated thereafter. The underlying, fundamental differential equation is derived from two different approaches. First, the derivation is shown emerging from the Navier-Stokes equations in cylindrical coordinates by applying several simplifications. Secondly, the principal of conservation of angula momentum is applied to a small cylindrical volume element located between a rotating and a stationary disk. Based on a substantial literature review, it is assumed in the derivation that a boundary layer flow structure with two boundary layers on the rotating and the stationary wall, separated by an inviscid core region, establishes. The flow model accounts for the influence of the outer cylindrical wall by means of an additional correction function. Moreover, a new approach for the determination of the friction factors is introduced based on the logarithmic law of the wall whereas usually the empirical resistance law according to Blasius is employed by most researchers. Comparisons with available experimental data from the literature as well as ...
Theoretical, Numerical and Experimental Investigation of the Flow in Rotor-Stator Cavities with Application to a Centrifugal Pump
Will, Björn-Christian (author) / Benra, Friedrich-Karl
2011-11-25
Theses
Electronic Resource
English
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