Affinity Law Modified to Predict the Pump Head Performance for Different Viscosities Using the Morrison Number

Patil, Abhay; Morrison, Gerald L.

doi:10.1115/1.4041066

Cited by 26 publications

(5 citation statements)

References 19 publications

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“…The significant vortices occur in the outlet channel of the guide vanes, which decrease the entire stage's efficiency. Therefore, it can be concluded that the guide vanes do not perform their function correctly due to the significant narrowing of the passage channel and the friction of the viscous layers of liquid between themselves [33]. The guide vanes create additional hydraulic losses at increased rotation frequency despite the design methodology.…”

Section: Resultsmentioning

confidence: 99%

Development of a High-Rotational Submersible Pump for Water Supply

Kondus,

Pavlenko,

Kulikov

et al. 2023

Water

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Submersible pumps are the leading electricity consumers in centralized water supply systems. Considering the cost structure of the life cycle of pumping equipment, the main costs should include investment costs, electricity costs during operation, and costs of repairing pumping equipment. Considering the growing cost of electricity in the world, the cost of manufacturing pumping equipment is significantly increasing, which in turn causes an increase in its price. The key factor in increasing the competitiveness of such equipment on the market is its modernization with the achievement of a higher level of energy efficiency with a simultaneous reduction in cost due to a reduction in weight and dimension parameters. In the research, a significant increase in the head from 15 m to 65 m of the submersible pump stage was achieved by increasing the rotation frequency from 3000 rpm to 6000 rpm and designing the pump for this rotation frequency. As a result, the pump head, created by the flowing part with the basic stage (eight pieces), can be provided by the pump using only two designed stages. It creates the prerequisites for reducing the mass of the pump from 200 kg to 45 kg, or by 77.5%. Also, in designing the pump, energy efficiency was increased from 74.6% (for the existing pump) to 79.4% (by 5% for the developed pump). The research results made it possible to significantly contribute to reducing the cost of the life cycle of the submersible pump installation.

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Section: Resultsmentioning

confidence: 99%

Development of a High-Rotational Submersible Pump for Water Supply

Kondus,

Pavlenko,

Kulikov

et al. 2023

Water

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“…The flow coefficient ϕ, head coefficient ψ, and efficiency η were used to characterize the performance of the LOX turbopump as the nondimensional parameters, and they are defined as follows [49]:…”

Section: Numerical Strategy and Test Verificationmentioning

confidence: 99%

Influence of Rotating Speeds and Thermodynamic Effects on LOX Turbopump Performance

Fu²,

Cong

et al. 2023

International Journal of Aerospace Engineering

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As a key factor of a reusable turbopump, axial thrust directly determines the reliability of the bears and seals, especially considering the influence of rotational speeds and thermodynamic effects. In this study, numerical simulations and experimental tests were conducted to explore the impact of rotational speeds and the divergences of the turbopump performance with/without the thermodynamic effects. The experimental data obtained at 15000 r/min are in good agreement with the numerical results, illustrating the validity of the numerical model. The results show that the head deviations based on the affinity laws are relatively smaller, only 0.1% difference at normal condition, yet the efficiency increases from 72.5% to 73.8%, which need to be modified through the formula correction. Notably, the axial thrusts acting on impeller are significantly affected by the rotational speeds, and the values at rated flowrate decrease 17.6% after increasing the operating condition to rated speed. The affinity laws are not applicable for obtaining the turbopump axial thrusts under different speeds. Furthermore, due to the changes of the local physical properties, the values of head coefficient and efficiency decrease 2.8% and 1.3% at rated flowrate, respectively, when the thermodynamic effects of liquid oxygen are considered. Meanwhile, the relative variations of axial thrust are between 1.46% and 3.74% within the whole flow range. Finally, an in-depth analysis of the internal flow was conducted through the velocity field and vorticity method. In conclusion, both the rotational speeds and thermodynamic effects significantly affect the performance of a cryogenic turbopump, especially the axial thrust, and the unsteady results of the rotor-stator cavity leakage flow need to be analyzed in the future.

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“…The independent variable Φ is replaced by a new independent variable formed by multiplying the flow coefficient by the rotational Reynolds number raised to a power, Φ Patil et al [23] proposed a new method to predict the two-phase flow performance of the terry turbine. The method follows a model previously proposed by authors to characterize the effect of viscosity [24][25][26]. In the case of multiphase pumps working under multiphase flow conditions (liquid + gas), considering the velocity triangle at the impeller blade, the mixture velocity at the inlet depends upon the flow rate, while rotational Reynolds number represents the combined effect of inertial forces, due to rotational speed, and the frictional loss due to the two-phase fluid properties.…”

Section: Application Of Affinity Law For Two-phase Flow Conditionmentioning

confidence: 99%

Performance Evaluation and Dimensional Analysis of Multistage Helicoaxial Pump for Two-Phase Flow

Patil

Gudigopuram

Ayyildiz

et al. 2019

IJTPP

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A four stage helicoaxial pump was tested under varying operating conditions. A range of inlet pressures, rotational speeds (3000, 3600 rpm), and gas void fractures (GVFs) were considered for two fluid viscosities. The head developed and power input to run the pump were recorded. Head, power input and efficiency decrease as the GVF increases with best efficiency point (BEP) moving towards lower flow rate conditions. Dimensional analysis was conducted to evaluate the applicability of current affinity laws to the two-phase flow performance of the pump under consideration. Dimensionless head coefficient and power coefficients were defined for two-phase flow, considering the homogeneity in the two-phase fluid properties. Deviations in the two-phase affinity coefficients from the common law curve increases with GVF. To bridge this gap, a new correlation is proposed with a revised flow coefficient that allows all the head coefficient data to collapse on a single line with a greater degree of accuracy.

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Affinity Law Modified to Predict the Pump Head Performance for Different Viscosities Using the Morrison Number

Cited by 26 publications

References 19 publications

Development of a High-Rotational Submersible Pump for Water Supply

Development of a High-Rotational Submersible Pump for Water Supply

Influence of Rotating Speeds and Thermodynamic Effects on LOX Turbopump Performance

Performance Evaluation and Dimensional Analysis of Multistage Helicoaxial Pump for Two-Phase Flow

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