Research Papers: Fundamental Issues and Canonical Flows

Inward Flow Between Stationary and Rotating Disks

[+] Author and Article Information
Achhaibar Singh

Department of Mechanical
and Automation Engineering,
Amity School of Engineering and Technology,
Amity University, Uttar Pradesh,
Sector-125, Noida–201313 (UP), India
e-mail: drasingh@hotmail.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 8, 2013; final manuscript received March 27, 2014; published online July 24, 2014. Assoc. Editor: Meng Wang.

J. Fluids Eng 136(10), 101205 (Jul 24, 2014) (5 pages) Paper No: FE-13-1482; doi: 10.1115/1.4027322 History: Received August 08, 2013; Revised March 27, 2014

The present study predicts the flow field and the pressure distribution for a laminar flow in the gap between a stationary and a rotating disk. The fluid enters through the peripheral gap between two concentric disks and converges to the center where it discharges axially through a hole in one of the disks. Closed form expressions have been derived by simplifying the Navier– Stokes equations. The expressions predict the backflow near the rotating disk due to the effect of centrifugal force. A convection effect has been observed in the tangential velocity distribution at high throughflow Reynolds numbers.

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Fig. 1

Geometry and coordinate system

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Fig. 2

Tangential velocity distribution at different radii for g = 0.01

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Fig. 3

Tangential velocity distribution at different radii for Req = 200

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Fig. 4

Radial velocity distribution at different radii for Req = 100, g = 0.01

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Fig. 5

Radial velocity distribution at different radii for Reϕ = 3000, g = 0.01

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Fig. 6

Radial velocity distribution at different radii for Req = 50, Reϕ = 4000

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Fig. 7

Pressure distribution for Reϕ = 1000, g = 0.02

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Fig. 8

Pressure distribution for Reϕ = 1000, Req = 4000

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Fig. 9

Pressure distribution for Req = 100, g = 0.01



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