Research on the solution method for thermal contact conductance between circular-arc contact surfaces based on fractal theory

Liu, Yang; Meng, Qingyu; Yan, Xinxin; Zhao, Siyao; Han, Jiyuan

doi:10.1016/j.ijheatmasstransfer.2019.118740

Cited by 27 publications

(12 citation statements)

References 22 publications

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“…Results for the probability distribution of the pressure are summarized in Figure 8. Note that results for the accuracy measure in equation (25) are generally less than 6.0 × 10 − 8 . Together with accuracy simulation results for probability distribution of the lift and drag coefficients in Figure 9 for the case of AOA * � 9.5 ∘ , it has confirmed the effectiveness of utilizing this polynomial chaos expansion for stochastic aerodynamic analysis of airfoils.…”

Section: Results For the Uncertainty Analysismentioning

confidence: 97%

“…e ideal of the polynomial chaos expansion was initially introduced by Wiener [23] to investigate the Gaussian turbulence models. Li and Ghanem [24] further investigated the utility of the chaos expansion approach for the stochastic finite element analysis of various solid mechanics models [25]. Combined with the Askey scheme, Xiu and Karniadakis [26] extended this expansion approach to deal with continuous random variables.…”

Section: Introductionmentioning

confidence: 99%

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An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

Zhang

Sun

2020

Mathematical Problems in Engineering

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This paper presents an effective approach for uncertain aerodynamic analysis of airfoils via the polynomial chaos expansion (PCE). To achieve this, the multivariate polynomial is first setup to represent random factors within the aerodynamic model, whereas the expansion coefficient is expressed as the multivariate stochastic integral of the input random vector. In this regard, the statistical regression in conjunction with a small number of representative samples is employed to determine the expansion coefficient. Then, a combination of the PCE surrogate model with brutal-force Monte Carlo simulation allows to determine numerical results for the uncertain aerodynamic analysis. Potential applications of this approach are first illustrated by the uncertainty analysis of the Helmholtz equation with spatially varied wave-number random field, and its effectiveness is further examined by the uncertain aerodynamic analysis of the NACA 63-215 airfoil. Results for the small regression error and a close agreement between simulated and benchmark results have confirmed numerical accuracy and efficiency of this approach. It, therefore, has a potential to deal with computationally demanding aerodynamical models for the uncertainty analysis.

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Section: Results For the Uncertainty Analysismentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

Zhang

Sun

2020

Mathematical Problems in Engineering

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“…Before the validation of the fractal model of the NGAF, the fractal dimension D and the characteristic length scale G need to be identified. In general, the fractal dimension and the characteristic length scale can be identified by combining the measured rough surface profile and the structure-function method [27][28][29]. However, this identification process is complicated.…”

Section: Experiments and Numerical Analysis Examples 41 Identificatimentioning

confidence: 99%

Modeling and Analysis of Nonlinear Axial Force Generated by Automotive Drive-shaft Systems Based on Fractal Theory

Feng

Shangguan

2021

Preprint

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The nonlinear generated axial force (NGAF) of an automotive drive-shaft system is mainly induced by the tripod joint in the drive-shaft system, which will lead to vibration and noise of a vehicle. On the basis of fractal theory, this paper conducts modeling and analysis of the NGAF from the micro level to study the NGAF more effectively. In order to describe the micro contact and friction states between rollers and tracks inside the tripod joint more accurately, a correction method for correcting the distribution function of asperities between rollers and tracks is proposed. Based on the proposed correction method and a calculation model of the NGAF, a fractal model of the NGAF considering rough surface characteristics is established. The fractal model is mainly related to the fractal parameters, the material parameters, the operating conditions and the correction coefficient of the distribution function of asperities. Using Sobol' global sensitivity analysis method, the first order and overall global sensitivities of the fractal model of the NGAF are subsequently analyzed to determine the influence of the factors on the NGAF. The effectiveness of the fractal model and the analytical method for the NGAF is verified by the experiment and calculation examples. The results show that modeling and analysis of the NGAF considering rough surface characteristics are essential to reveal the relationships between the NGAF and the fractal parameters, the material parameters and the correction coefficient from the micro level, which is helpful for the design and analysis of the NGAF of the drive-shaft system.

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“…Komvopoulos (2020) studied a theory for developing multiscale thermo-electro-mechanics analytical treatments for contacting solid bodies. Liu et al (2019) proposed a TCC model between circular-arc rough contact surfaces and studied the effects of different materials, external contact temperature, contact-surface roughness and contact pressure on the TCC. Liu et al (2020a), Liu et al (2020b) and Ma et al (2020) established a new TCC model between cylindrical surfaces by introducing an effective contact factor.…”

Section: Introductionmentioning

confidence: 99%

Fractal model of thermal contact conductance of rough surfaces based on cone asperity

Sun

Xing

2023

AEAT

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Purpose The purpose of this paper is to propose a fractal model of thermal contact conductance (TCC) of rough surfaces based on cone asperity. Design/methodology/approach A detailed numerical study is conducted to examine the effects of contact load, fractal dimensional, fractal roughness and material properties on the TCC of rough surfaces. Findings The results indicate that when the fractal dimension D is less than 2.5, the TCC of rough surfaces increases nonlinearly with the increase of the contact load. However, when the fractal dimension D is greater than or equal to 2.5, the TCC of rough surfaces increases linearly with the increase of the contact load; the TCC of the rough surfaces increases with the increase of the fractal dimension D and the decrease of the fractal roughness G; the material parameters also have an influence on the TCC of the rough surfaces, and the extent of the effect on the TCC is related to the fractal dimension D. Originality/value A fractal model of TCC of rough surfaces based on cone asperity is established in this paper. Some new results and conclusions are obtained from this work, which provides important theoretical guidance for further study of TCC of rough surfaces.

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Research on the solution method for thermal contact conductance between circular-arc contact surfaces based on fractal theory

Cited by 27 publications

References 22 publications

An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

An Effective Approach for Uncertain Aerodynamic Analysis of Airfoils via the Polynomial Chaos Expansion

Modeling and Analysis of Nonlinear Axial Force Generated by Automotive Drive-shaft Systems Based on Fractal Theory

Fractal model of thermal contact conductance of rough surfaces based on cone asperity

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