Research Papers

High-Thrust Aerostatic Bearing Design Through Transient Perturbation Modeling With Numerical Validation

[+] Author and Article Information
Nripen Mondal

Department of Mechanical Engineering,
Jalpaiguri Govt. Engg. College,
Jalpaiguri 735102, West Bengal, India
e-mail: nripen_mondal@rediffmail.com

Binod Kumar Saha

M G Avenue,
Durgapur 713209, India
e-mail: bsahacmeri@gmail.com

Rana Saha

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: rsaha@mech.jdvu.ac.in

Dipankar Sanyal

Department of Mechanical Engineering,
Jadavpur University,
Kolkata 700032, India
e-mail: dipans26@gmail.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 18, 2016; final manuscript received October 24, 2017; published online December 14, 2017. Editor: Joseph Beaman.

J. Dyn. Sys., Meas., Control 140(4), 041012 (Dec 14, 2017) (8 pages) Paper No: DS-16-1255; doi: 10.1115/1.4038377 History: Received May 18, 2016; Revised October 24, 2017

A simple perturbation flow model is formulated and validated by a rigorous computational fluid dynamics (CFD) study for designing a counterbalanced vertical-axis aerostatic thrust bearing. The flow model of the orifice at the entry of the stator manifold involves natural transition between the choked and free flows. While the air distribution network of holes in the stator and one air gap at the inner radius of the stator constitute the fixed part, the variable part is comprised of two air gaps at the top and bottom of the stator interconnected by the inner air gaps. The top and the inner gaps receive air by a circular array of holes. While the basic flow of the perturbation model is taken as steady corresponding to fixed air gaps, the transient effect is captured by a squeezing flow due to the variations of the top and bottom gaps. The overall flow including that in the network is assumed as compressible and isothermal. This model has been validated through a transient axisymmetric CFD study using dynamic meshing and the coupled lifting dynamics of the payload. The validated model has been used to find the appropriate counterbalancing, the orifice diameter, the air gap sizes, and the location of the air holes feeding the top gap. This clearly shows the worth of the model for carrying out an extensive design analysis that would have been very costly and even unachievable for small gaps that would occur during system transients.

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Fig. 1

Air feeding schematic of air bearing with counterbalancing

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Fig. 2

Axisymmetric flow domain with mesh structure for a typical CFD analysis

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Fig. 3

Comparison of the analytical and CFD predicted pressures for 50 μm top and bottom air gaps having unequal axial pads for 0.3 MPa compressor pressure

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Fig. 4

Comparison of lifting dynamics for 16,500 N weight for 0.3 MPa inlet pressure and equal axial pads predicted analytically and by CFD method

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Fig. 5

Effect of orifice diameter on axial thrust

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Fig. 6

Effects of orifice diameter and side gap on axial thrust

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Fig. 7

Effect of bottom pad radius on axial thrust

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Fig. 8

Effect of vertical feeding-hole location on axial thrust with full counterbalancing

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Fig. 9

Effect of vertical feeding-hole location on axial thrust with partial counterbalancing

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Fig. 10

Effect of vertical feeding-hole location on total mass flow rate

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Fig. 11

Variation of manifold pressure with top air gap

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Fig. 12

Lifting dynamics for 16,000 N and 4000 N total weights and 40 μm total axial gap

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Fig. 13

Manifold pressure dynamics for different total weights and 40 μm axial gap



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