Flow between rotating disks. Part 1. Basic flow

Szeri, A. Z.; Schneider, Steven J.; Labbe, Fernando; Kaufman, H. N.

doi:10.1017/s0022112083003250

Cited by 82 publications

(23 citation statements)

References 20 publications

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“…The value of the core swirl ratio is not universal: Owen and Rogers [11] found a theoretical value equal to 0.382 in the case of infinite disks, Szeri and al. [15] obtained 0.313 in a system rotor-stator with a large clearance, this last result being also obtained by Dijkstra and van Heijst [16]. When the cavity is opened to the atmosphere at the periphery, D'Haudt [17] showed that the peripheral layout of the system has a strong influence on the flow properties in the case of an isolated cavity.…”

Section: Introductionmentioning

confidence: 60%

Influence of a weak superposed centripetal flow in a rotor-stator system for several pre-swirl ratios

Nour¹,

Rinaldi²,

Debuchy³

et al. 2012

International Journal of Fluid Machinery and Systems

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The present study is devoted to the influence of a superposed radial inflow in a rotor-stator cavity with a peripheral opening. The flow regime is turbulent, the two boundary layers being separated by a core region. An original theoretical solution is obtained for the core region, explaining the reason why a weak radial inflow has no major influence near the periphery of the cavity but strongly affects the flow behavior near the axis. The validity of the theory is tested with the help of a new set of experimental data including the radial and tangential mean velocity components, as well as three components of the Reynolds stress tensor measured by hot-wire anemometry. The theoretical results are also in good agreement with numerical results obtained with the Fluent code and experimental data from the literature.

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Section: Introductionmentioning

confidence: 60%

Influence of a weak superposed centripetal flow in a rotor-stator system for several pre-swirl ratios

Nour¹,

Rinaldi²,

Debuchy³

et al. 2012

International Journal of Fluid Machinery and Systems

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“…This recirculation pattern has Ž . been observed in laminar flow by Szeri et al 1983 , using laser Doppler anemometry. The permeate flux is larger for Ž .…”

Section: Effect Of Inletr R R R Routlet Configurations On Module Perfmentioning

confidence: 99%

Influence of geometry and angular velocity on performance of a rotating disk filter

et al. 2000

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“…To further validate the numerical solution, a sample problem is created and compared against experimental results obtained by Szeri et al (1983). Szeri et al obtained Laser-Doppler velocity measurement in water between finite rotating disks.…”

Section: Validation Of the Modelmentioning

confidence: 99%

Double-disk rotating viscous micro-pump with slip flow

2010

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In this paper numerical solution was provided for the 2D, axisymmetric Navier-Stokes equations coupled with energy equation for gaseous slip flow between two micro rotating disks pump. A first-order slip boundary condition was applied to all internal solid walls. The objective is to study the effect of Knudsen number, rotational Reynolds number and gap height on pump head, flow rate, coefficient of moments and overall micro-pump efficiency. Pump head, flow rate, coefficient of moments and pump efficiency were calculated for various pump operating conditions when the mass flow rate is applied at the pump inlet port. Detailed investigations were performed for rotational Reynolds number equals to 10. Effect of gap height between the two disks was studied. Effect of rotational Reynolds number on maximum flow rate and maximum pressure rise was simulated. The present numerical results for no-slip were compared with previously published experimental and theoretical data and found to be in a very good agreement. Knudsen number Kn values were found to be major parameters that affect the performance of pump. Pump performance decreases with increasing Kn. Optimal pump performance occurs around middle point of pump operating range. Pump operating range decreases with increasing Kn numbers. Pump performance is found to experience a steep degradation for Kn approaching 0.1.Maximum flow rate increases with rotational speed almost linearly. Maximum pressure rise also increases with rotational speed. Reducing gap height results in increasing maximum pressure rise, while increasing gap height results in larger maximum flow rate. List of symbolsC M Moment coefficient D Diameter of the disk [m] g Acceleration due to gravity [m/s 2 ] H Pump discharge head [m] NH Dimensionless head NQ Dimensionless flow rate P Pressure [Pa] P S Shaft input power [N m/s] Q Flow rate [m 3 /s] r 1 Inner radius of the impeller [m] r 2 Outer radius of the impeller [m] Re Rotational reynolds number Sc Space between the disks [m] T Shaft toque on the disk [N m] v r Radial velocity components [m/s] v h Swirl velocity components [m/s] v z Axial velocity components [m/s] t Kinematic viscosity [m 2 /s] x Rotor angular velocty [rad/s] q Density [kg/m 3 ] q r Density ratio q o Density at exit [kg/m 3 ] s Shear stress [N/m 2 ] r Tangential-momentum accommodation coefficient r v Lennard-Jones characterstic length [m] k Mean free path [m] g Overall pump efficiency * Dimensionless variables

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Flow between rotating disks. Part 1. Basic flow

Cited by 82 publications

References 20 publications

Influence of a weak superposed centripetal flow in a rotor-stator system for several pre-swirl ratios

Influence of a weak superposed centripetal flow in a rotor-stator system for several pre-swirl ratios

Influence of geometry and angular velocity on performance of a rotating disk filter

Double-disk rotating viscous micro-pump with slip flow

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