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  • Open Access

    ARTICLE

    Two-Dimensional Mathematical Modeling of Gas Hydrate Dissociation with a Nonlinear Forchheimer-Type Filtration Law

    Ahmed Bakeer1, Grigory Kazakevich2, Viktoriia Podryga3,*, Yury Poveshchenko3, Parvin Rahimly3

    Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1575-1593, 2025, DOI:10.32604/fhmt.2025.067097 - 31 October 2025

    Abstract The work considers the problem of gas hydrate dissociation in a porous medium using the two-term Forchheimer law, corresponding to high flow rates of reservoir fluids. Such rates can arise during the decomposition of gas hydrates, since a large amount of gas is released. Intensive emissions of gases from the earth’s interior are observed on the ocean floor. They are also associated with a large number of subvertical geological structures under the ocean floor, coming to the surface in the form of local ring funnels (pockmarks). Many similar objects have also been found on land.… More >

  • Open Access

    ARTICLE

    Viscoelastic Flow Analysis with Buongiorno Nanofluid Model over a Nonlinear Stretching Sheet: A Homotopy Approach

    Syamala Ramadevu1, Prathi Vijaya Kumar1, Giulio Lorenzini2,*, Shaik Mohammed Ibrahim3, Kanithi Jyothsna1

    Frontiers in Heat and Mass Transfer, Vol.23, No.3, pp. 857-879, 2025, DOI:10.32604/fhmt.2025.062231 - 30 June 2025

    Abstract Viscoelastic nanofluid flow has drawn substantial interest due to its industrial uses, including research and testing of medical devices, lubrication and tribology, drug delivery systems, and environmental remediation. This work studies nanofluid flow over a viscoelastic boundary layer, focusing on mass and heat transmission. An analysis is performed on the flow traversing a porous sheet undergoing nonlinear stretching. It assesses the consequences of viscous dissipation and thermal radiation. The scientific nanofluid framework laid out by Buongiorno has been exploited. The partial differential equations illustrating the phenomena can be transfigured into ordinary differential equations by utilizing… More >

  • Open Access

    ARTICLE

    Performance Analysis of Solar Porous Media Collector Integrated with Thermal Energy Storage Charged by CuFe2O4/Water Nanofluids Coil Tubes

    Ahmad Mola1, Sahira H. Ibrahim1, Nagham Q. Shari2, Hasanain A. Abdul Wahhab3,*

    Energy Engineering, Vol.122, No.6, pp. 2239-2255, 2025, DOI:10.32604/ee.2025.061590 - 29 May 2025

    Abstract High-efficiency solar energy systems are characterized by their designs, which primarily rely on effective concentration and conversion methods of solar radiation. Evaluation of the performance enhancement of flat plate solar collectors by integration with thermal energy storage could be achieved through simulation of proposed designs. The work aims to analyze a new solar collector integrated with a porous medium and shell and coiled tube heat exchanger. The heat transfer enhancement was investigated by varying the geometrical parameters in shell and helically coiled tubes operating with CuFe2O4/water with different volume fractions of 0.02%, 0.05%, and 0.1 vol.%.… More >

  • Open Access

    ARTICLE

    Impact of Pollutant Concentration and Particle Deposition on the Radiative Flow of Casson-Micropolar Fluid between Parallel Plates

    Ghaliah Alhamzi1, Badr Saad T. Alkahtani2,*, Ravi Shanker Dubey3, Vinutha Kalleshachar4, Neelima Nizampatnam5

    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.1, pp. 665-690, 2025, DOI:10.32604/cmes.2024.055500 - 17 December 2024

    Abstract Assessing the behaviour and concentration of waste pollutants deposited between two parallel plates is essential for effective environmental management. Determining the effectiveness of treatment methods in reducing pollution scales is made easier by analysing waste discharge concentrations. The waste discharge concentration analysis is useful for assessing how effectively wastewater treatment techniques reduce pollution levels. This study aims to explore the Casson micropolar fluid flow through two parallel plates with the influence of pollutant concentration and thermophoretic particle deposition. To explore the mass and heat transport features, thermophoretic particle deposition and thermal radiation are considered. The… 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

    Enhanced Evaporation of Ternary Mixtures in Porous Medium with Microcolumn Configuration

    Bo Zhang1, Yunxie Huang2, Peilin Cui2, Zhiguo Wang1, Duo Ding1, Zhenhai Pan3, Zhenyu Liu2,*

    Frontiers in Heat and Mass Transfer, Vol.22, No.4, pp. 997-1016, 2024, DOI:10.32604/fhmt.2024.053592 - 30 August 2024

    Abstract The high surface area of porous media enhances its efficacy for evaporative cooling, however, the evaporation of pure substances often encounters issues including local overheating and unstable heat transfer. To address these challenges, a volume of fluid (VOF) model integrated with a species transport model was developed to predict the evaporation processes of ternary mixtures (water, glycerol, and 1,2-propylene glycol) in porous ceramics in this study. It reveals that the synergistic effects of thermal conduction and convective heat transfer significantly influence the mixtures evaporation, causing the fluctuations in evaporation rates. The obtained result shows a More >

  • Open Access

    ARTICLE

    Casson Nanofluid Flow with Cattaneo-Christov Heat Flux and Chemical Reaction Past a Stretching Sheet in the Presence of Porous Medium

    Mahzad Ahmed1, Raja Mussadaq Yousaf2, Ali Hassan3,4,*, B. Shankar Goud5

    Frontiers in Heat and Mass Transfer, Vol.22, No.4, pp. 1261-1276, 2024, DOI:10.32604/fhmt.2024.048091 - 30 August 2024

    Abstract In the current work, inclined magnetic field, thermal radiation, and the Cattaneo-Christov heat flux are taken into account as we analyze the impact of chemical reaction on magneto-hydrodynamic Casson nanofluid flow on a stretching sheet. Modified Buongiorno’s nanofluid model has been used to model the flow governing equations. The stretching surface is embedded in a porous medium. By using similarity transformations, the nonlinear partial differential equations are transformed into a set of dimensionless ordinary differential equations. The numerical solution of transformed dimensionless equations is achieved by applying the shooting procedure together with Rung-Kutta 4th-order method… More >

  • Open Access

    ARTICLE

    Modeling of Leachate Propagation in a Municipal Solid Waste Landfill Foundation

    Nadezhda Zubova*, Andrey Ivantsov

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.6, pp. 1407-1424, 2024, DOI:10.32604/fdmp.2024.051130 - 27 June 2024

    Abstract The study deals with the numerical modeling of leachate distribution in the porous medium located under a municipal solid waste disposal landfill (MSWLF). The considered three-layer system is based on geological data obtained from field measurements. For simplicity, the problem is investigated by assuming a two-component approach. Nevertheless, the heat produced by landfills due to biological and chemical processes and the thermal diffusion mechanism contributing to pollution transport are taken into account. The numerical modeling of the propagation of leachate in the considered layered porous medium is implemented for parameters corresponding to natural soil and More >

  • Open Access

    ARTICLE

    Thermal Radiation Effects on 2D Stagnation Point Flow of a Heated Stretchable Sheet with Variable Viscosity and MHD in a Porous Medium

    Muhammad Abaid Ur Rehman1,*, Muhammad Asif Farooq1, Ahmed M. Hassan2

    Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 263-286, 2024, DOI:10.32604/fhmt.2023.044587 - 21 March 2024

    Abstract This paper proposes a mathematical modeling approach to examine the two-dimensional flow stagnates at over a heated stretchable sheet in a porous medium influenced by nonlinear thermal radiation, variable viscosity, and MHD. This study’s main purpose is to examine how thermal radiation and varying viscosity affect fluid flow motion. Additionally, we consider the convective boundary conditions and incorporate the gyrotactic microorganisms equation, which describes microorganism behavior in response to fluid flow. The partial differential equations (PDEs) that represent the conservation equations for mass, momentum, energy, and microorganisms are then converted into a system of coupled… More >

  • Open Access

    ARTICLE

    MHD (SWCNTS + MWCNTS)/H2O-Based Williamson Hybrid Nanouids Flow Past Exponential Shrinking Sheet in Porous Medium

    Hamzeh Taha Alkasasbeh1,*, Muhammad Khairul Anuar Mohamed2

    Frontiers in Heat and Mass Transfer, Vol.21, pp. 265-279, 2023, DOI:10.32604/fhmt.2023.041539 - 30 November 2023

    Abstract The present study numerically investigates the flow and heat transfer of porous Williamson hybrid nanofluid on an exponentially shrinking sheet with magnetohydrodynamic (MHD) effects. The nonlinear partial differential equations which governed the model are first reduced to a set of ordinary differential equations by using the similarity transformation. Next, the BVP4C solver is applied to solve the equations by considering the pertinent fluid parameters such as the permeability parameter, the magnetic parameter, the Williamson parameter, the nanoparticle volume fractions and the wall mass transfer parameter. The single (SWCNTs) and multi-walled carbon nanotubes (MWCNTs) nanoparticles are More >

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