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Research Papers

Size- and Temperature-Dependent Collision and Deposition Model for Micron-Sized Sand Particles

[+] Author and Article Information
Kuahai Yu

Department of Engineering Mechanics,
Henan University of Science and Technology,
Luoyang 471023, China
e-mail: yukuahai@163.com

Danesh Tafti

Department of Mechanical Engineering,
Virginia Tech.,
Blacksburg, VA 24061
e-mail: dtafti@exchange.vt.edu

1Corresponding author.

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received April 5, 2018; final manuscript received December 7, 2018; published online January 16, 2019. Assoc. Editor: David G. Bogard.

J. Turbomach 141(3), 031001 (Jan 16, 2019) (11 pages) Paper No: TURBO-18-1079; doi: 10.1115/1.4042215 History: Received April 05, 2018; Revised December 07, 2018

Sand ingestion and deposition in gas turbine engine components can lead to several operational hazards. This paper discusses a physics-based model for modeling the impact, deposition, and sticking of sand particles to surfaces. The collision model includes both normal and tangential components of impact. The normal collision model divides the impact process into three stages, the elastic stage, the elastic–plastic stage, and full plastic stage, and the recovery process is assumed to be fully elastic. The adhesion loss in the recovery stage is described using Timoshenko's model and Tsai's model, and shows that the two models are consistent under certain conditions. Plastic deformation losses of surface asperities are also considered for particle–wall collisions. The normal impact model is supplemented by an impulse-based tangential model, which includes both sliding and rolling frictions. Sand properties are characterized by size and temperature dependencies. The predicted coefficient of restitution (COR) of micron-sized sand particles is in very good agreement with experimental data at room temperature and at higher temperatures from 1073 K to 1340 K. The predicted COR decreases rapidly at temperatures above 1340 K. There is a strong interplay between the size-dependent properties of micron sand particles and the temperature dependency of yield stress on the collision and deposition characteristics. This is the first physics-based high temperature model including translation and rotation of micron-sized sand particles with sliding and rolling modes in the gas turbine literature.

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Figures

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Fig. 1

Uniformly distributed hemispheres of surface irregularities

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Fig. 6

Sensitivity of predicted COR to rolling friction coefficient

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Fig. 5

COR versus angle of impact to HX from 1073 K to 1373K

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Fig. 2

Comparison of predicted COR of oblique impact of sand particles with experimental data at room temperature at 27 m/s: (a) 29 μm sand particles and (b) 13 μm sand particles

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Fig. 3

Comparison of predicted COR of 24.67 μm sand particles with experimental data at room temperature at 28 m/s: (a) SS 304 steel coupon and (b) HX coupon

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Fig. 4

Predicted COR of 24.67 μm sand particles versus angle of impact for SS304 and HX at 1073 K and 28 m/s

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Fig. 8

Predicted COR of sand particles oblique impact at HX surface with the velocity of 28 m/s: (a) 1273 K, (b) 1340 K, and (c) 1360 K

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Fig. 7

Effect of Wasp on normal COR: (a) Normal COR with and without plastic deformation of asperities of sand particles impacting a HX target at room temperature and (b) ratio of Wasp to initial normal kinetic of particles

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