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  • Open Access

    ARTICLE

    A Novel Multi-Step Numerical Framework for Ice Accretion Prediction Based on Unsteady Water Film Dynamics

    Ke Shen1,2,*, Dan Zeng1,2, Changhao Wang1, Lei Wang1, Yuliang Dong1

    Frontiers in Heat and Mass Transfer, Vol.23, No.6, pp. 1957-1980, 2025, DOI:10.32604/fhmt.2025.070396 - 31 December 2025

    Abstract Ice accretion on aircraft poses a critical threat to flight safety by significantly altering aerodynamic performance. This study presents a novel numerical framework for ice accretion prediction, developed by extending the Myers model and incorporating an advanced multi-step approach. The proposed framework integrates ice layer growth into the modeling of unsteady water film dynamics and introduces a revised criterion for determining the icing condition. A multi-step scheme, accounting for the continuous variation of physical parameters, is implemented to enhance computational accuracy. The framework is validated through simulations on both 2D and 3D configurations. For the… More > Graphic Abstract

    A Novel Multi-Step Numerical Framework for Ice Accretion Prediction Based on Unsteady Water Film Dynamics

  • Open Access

    ARTICLE

    Role of Thermal Radiation Effect on Unsteady Dissipative MHD Mixed Convection of Hybrid Nanofluid over an Inclined Stretching Sheet with Chemical Reaction

    Shaik Mohammed Ibrahim1, Bhavanam Naga Lakshmi2, Chundru Maheswari3, Hasan Koten4,*

    Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1555-1574, 2025, DOI:10.32604/fhmt.2025.069392 - 31 October 2025

    Abstract Magnetohydrodynamic (MHD) radiative chemically reactive mixed convection flow of a hybrid nanofluid (Al2O3Cu/H2O) across an inclined, porous, and stretched sheet is examined in this study, along with its unsteady heat and mass transport properties. The hybrid nanofluid’s enhanced heat transfer efficiency is a major benefit in high-performance engineering applications. It is composed of two separate nanoparticles suspended in a base fluid and is chosen for its improved thermal properties. Thermal radiation, chemical reactions, a transverse magnetic field, surface stretching with time, injection or suction through the porous medium, and the effect of inclination, which introduces gravity-induced… More >

  • Open Access

    ARTICLE

    Unsteady Flow Dynamics and Phase Transition Behavior of CO2 in Fracturing Wellbores

    Zihao Yang1,*, Jiarui Cheng1, Zefeng Li2, Yirong Yang1, Linghong Tang1, Wenlan Wei1

    FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.9, pp. 2149-2176, 2025, DOI:10.32604/fdmp.2025.067739 - 30 September 2025

    Abstract This study presents a two-dimensional, transient model to simulate the flow and thermal behavior of CO2 within a fracturing wellbore. The model accounts for high-velocity flow within the tubing and radial heat exchange between the wellbore and surrounding formation. It captures the temporal evolution of temperature, pressure, flow velocity, and fluid density, enabling detailed analysis of phase transitions along different tubing sections. The influence of key operational and geological parameters, including wellhead pressure, injection velocity, inlet temperature, and formation temperature gradient, on the wellbore’s thermal and pressure fields is systematically investigated. Results indicate that due to… More >

  • Open Access

    ARTICLE

    Sharp Interface Establishment through Slippery Fluid in Steady Exchange Flows under Stratification

    Mustafa Turkyilmazoglu1,2,*, Abdulaziz Alotaibi3

    CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.3, pp. 2847-2865, 2025, DOI:10.32604/cmes.2025.068031 - 30 June 2025

    Abstract The variable salinity in stored reservoirs connected by a long channel attracts the attention of scientists worldwide, having applications in environmental and geophysical engineering. This study explores the impact of Navier slip conditions on exchange flows within a long channel connecting two large reservoirs of differing salinity. These horizontal density gradients drive the flow. We modify the recent one-dimensional theory, developed to avoid runaway stratification, to account for the presence of uniform slip walls. By adjusting the parameters of the horizontal density gradient based on the slip factor, we resolve analytically various flow regimes ranging… More >

  • Open Access

    ARTICLE

    Inertial Modes in a Rotating Horizontal Annulus with Boundaries of Different Temperatures and Their Effect on the Averaged Convection

    Alexey Vjatkin*, Svyatoslav Petukhov, Victor Kozlov

    FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.4, pp. 783-798, 2025, DOI:10.32604/fdmp.2025.062535 - 06 May 2025

    Abstract Time-averaged thermal convection in a rotating horizontal annulus with a higher temperature at its inner boundary is studied. The centrifugal force plays a stabilizing role, while thermal convection is determined by the “thermovibrational mechanism”. Convective flow is excited due to oscillations of a non-isothermal rotating fluid. Thermal vibrational convection manifests in the form of two-dimensional vortices elongated along the axis of rotation, which develop in a threshold manner with an increase in the amplitude of fluid oscillations. The objective of the present study is to clarify the nature of another phenomenon, i.e., three-dimensional convective vortices… More >

  • Open Access

    ARTICLE

    Steady-State Solution of MHD Flow with Induced Magnetic Field

    Saykat Poddar1, Jui Saha1, Badhan Neogi1, Mohammad Sanjeed Hasan1, Muhammad Minarul Islam1, Giulio Lorenzini2,*, Md. Mahmud Alam3

    FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.2, pp. 233-252, 2025, DOI:10.32604/fdmp.2025.056131 - 06 March 2025

    Abstract This study presents a numerical analysis of the steady-state solution for transient magnetohydrodynamic (MHD) dissipative and radiative fluid flow, incorporating an induced magnetic field (IMF) and considering a relatively high concentration of foreign mass (accounting for Soret and Dufour effects) over a vertically oriented semi-infinite plate. The governing equations were normalized using boundary layer (BL) approximations. The resulting nonlinear system of partial differential equations (PDEs) was discretized and solved using an efficient explicit finite difference method (FDM). Numerical simulations were conducted using MATLAB R2015a, and the developed numerical code was verified through comparison with another… More >

  • Open Access

    ARTICLE

    A Computational Modeling on Flow Bifurcation and Energy Distribution through a Loosely Bent Rectangular Duct with Vortex Structure

    Rabindra Nath Mondal1, Giulio Lorenzini2,*, Sidhartha Bhowmick1, Sreedham Chandra Adhikari3

    Frontiers in Heat and Mass Transfer, Vol.23, No.1, pp. 249-278, 2025, DOI:10.32604/fhmt.2024.057990 - 26 February 2025

    Abstract The present study investigates the non-isothermal flow and energy distribution through a loosely bent rectangular duct using a spectral-based numerical approach over a wide range of the Dean number . Unlike previous research, this work offers novel insights by conducting a grid-point-specific velocity analysis and identifying new bifurcation structures. The study reveals how centrifugal and buoyancy forces interact to produce steady, periodic, and chaotic flow regimes significantly influencing heat transfer performance. The Newton-Raphson method is employed to explore four asymmetric steady branches, with vortex solutions ranging from 2- to 12 vortices. Unsteady flow characteristics are… More >

  • Open Access

    PROCEEDINGS

    Accelerating Convergence in Simulating Steady Flows Across All Regimes Using the Improved Discrete Velocity Method with Inner Iteration

    Liming Yang1,*, Linchang Han1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.30, No.1, pp. 1-1, 2024, DOI:10.32604/icces.2024.010890

    Abstract This work introduces an efficient improved discrete velocity method (IDVM) with inner iteration for simulating steady flows across all flow regimes. Building upon our prior implicit IDVM, this extension achieves a significantly enhanced convergence rate. In the previous method, simultaneous solution of the discrete velocity Boltzmann equation (DVBE) and corresponding macroscopic governing equations was performed. However, the computational cost was primarily driven by the DVBE calculations due to the substantial difference in the number of discrete distribution functions compared to macroscopic conservative variables. Additionally, the convergence rate was influenced by the predicted equilibrium state derived… More >

  • Open Access

    ARTICLE

    Unsteady Flow of Hybrid Nanofluid with Magnetohydrodynamics-Radiation-Natural Convection Effects in a U-Shaped Wavy Porous Cavity

    Taher Armaghani1, Lioua Kolsi2, Najiyah Safwa Khashi’ie3,*, Ahmed Muhammed Rashad4, Muhammed Ahmed Mansour5, Taha Salah6, Aboulbaba Eladeb7

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.3, pp. 2225-2251, 2024, DOI:10.32604/cmes.2024.056676 - 31 October 2024

    Abstract In this paper, the unsteady magnetohydrodynamic (MHD)-radiation-natural convection of a hybrid nanofluid within a U-shaped wavy porous cavity is investigated. This problem has relevant applications in optimizing thermal management systems in electronic devices, solar energy collectors, and other industrial applications where efficient heat transfer is very important. The study is based on the application of a numerical approach using the Finite Difference Method (FDM) for the resolution of the governing equations, which incorporates the Rosseland approximation for thermal radiation and the Darcy-Brinkman-Forchheimer model for porous media. It was found that the increase of Hartmann number… More >

  • Open Access

    ARTICLE

    Experimental Study of Thermal Convection and Heat Transfer in Rotating Horizontal Annulus

    Alexei Vjatkin*, Svyatoslav Petukhov, Victor Kozlov

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.11, pp. 2475-2488, 2024, DOI:10.32604/fdmp.2024.052377 - 28 October 2024

    Abstract A genuine technological issue–the thermal convection of liquid in a rotating cavity–is investigated experimentally. The experiments are conducted within a horizontal annulus with isothermal boundaries. The inner boundary of the annulus has a higher temperature, thus exerting a stabilising influence on the system. It is shown that when the layer rotation velocity diminishes, two-dimensional azimuthally periodic convective rolls, rotating together with the cavity, emerge in a threshold manner. The development of convection is accompanied by a significant intensification of heat transfer through the layer. It is shown that the averaged thermal convection excitation in the… More > Graphic Abstract

    Experimental Study of Thermal Convection and Heat Transfer in Rotating Horizontal Annulus

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