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    Application of the Equivalent Markov Motion Model in Solving Solid Particle Erosion and Droplet Deposition 

    Source: Journal of Fluids Engineering:;2022:;volume( 144 ):;issue: 012:;page 121402
    Author(s): Zhang, Ri;Wang, Yumiao
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The equivalent Markov motion model (EMMM) is used to improve the probability model for solid particle erosion and droplet deposition. When calculating the solid particle erosion, the probability density distribution of ...
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    Analysis of the Interchange Rate and Pressure Gradient of Annular Flow Based on a Probability Model 

    Source: Journal of Heat Transfer:;2018:;volume( 140 ):;issue: 010:;page 102003
    Author(s): Zhang, Ri; Zhang, Feng; Dong, Sheng
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The phase distribution and mechanical properties of annular flow have obvious, random characteristics because of the influence of turbulence. Thus, probability analysis is a suitable method for the study of annular flow. ...
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    Deposition Process and Equivalent Markov Motion of High-Inertia Particles in a Long Straight Pipeline 

    Source: Journal of Fluids Engineering:;2021:;volume( 143 ):;issue: 011:;page 0111403-1
    Author(s): Zhang, Ri; Xu, Kai; Liu, Yong; Wang, Yumiao
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Two methods are used to study the process of particle deposition in a turbulent pipe flow. The Monte Carlo method tracks 10,000 particles in the turbulent pipe flow to reproduce the deposition process of the particles. The ...
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    A Probability Model for Fully Developed Annular Flow in Vertical Pipes: Film Thickness, Interfacial Shear Stress, and Droplet Size Distribution 

    Source: Journal of Heat Transfer:;2017:;volume( 139 ):;issue: 003:;page 32001
    Author(s): Zhang, Ri; Liu, Haixiao; Dong, Sheng; Liu, Mingyang
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The movement and distribution of each phase in annular flow can be considered as random events at a microscopic level. Hence, a probability analysis is appropriate to estimate the morphological features and mechanical ...
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