Sara I. Abdelsalam^1,2,*, M. Khairy³, W. Abbas³, Ahmed M. Megahed⁴, M. S. Emam⁵

Frontiers in Heat and Mass Transfer, Vol.23, No.6, pp. 1833-1846, 2025, DOI:10.32604/fhmt.2025.069711 - 31 December 2025

Abstract This comprehensive research examines the dynamics of magnetohydrodynamic (MHD) flow and heat transfer within a couple stress fluid. The investigation specifically focuses on the fluid’s behavior over a vertical stretching sheet embedded within a porous medium, providing valuable insights into the complex interactions between fluid mechanics, thermal transport, and magnetic fields. This study accounts for the significant impact of heat generation and thermal radiation, crucial factors for enhancing heat transfer efficiency in various industrial and technological contexts. The research employs mathematical techniques to simplify complex partial differential equations (PDEs) governing fluid flow and heat transfer.… More >

Arshad Riaz^1,*, Misbah Ilyas¹, Muhammad Naeem Aslam², Safia Akram³, Sami Ullah Khan⁴, Ghaliah Alhamzi⁵

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.3, pp. 3481-3509, 2025, DOI:10.32604/cmes.2025.072513 - 23 December 2025

Abstract Peristaltic transport of non-Newtonian nanofluids with double diffusion is essential to biological engineering, microfluidics, and manufacturing processes. The authors tackle the key problem of Sisko nanofluids under double diffusion convection with thermal radiations and electroosmotic effects. The study proposes a solution approach by using Morlet-Wavelet Neural Networks that can effectively solve this complex problem by their superior ability in the capture of nonlinear dynamics. These convergence analyses were calculated across fifty independent runs. Theil’s Inequality Coefficient and the Mean Squared Error values range from 10⁻⁷ to 10⁻⁵ and 10⁻⁷ to 10⁻¹⁰, respectively. These values showed the proposed More >

Mairaj Bibi¹, Muhammad Shoaib Arif ², Yasir Nawaz³, Nabil Kerdid^4,*

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 537-569, 2025, DOI:10.32604/cmes.2025.070362 - 30 October 2025

Abstract This study develops a high-order computational scheme for analyzing unsteady tangent hyperbolic fluid flow with variable thermal conductivity, thermal radiation, and coupled heat and mass transfer effects. A modified two-stage Exponential Time Integrator is introduced for temporal discretization, providing second-order accuracy in time. A compact finite difference method is employed for spatial discretization, yielding sixth-order accuracy at most grid points. The proposed framework ensures numerical stability and convergence when solving stiff, nonlinear parabolic systems arising in fluid flow and heat transfer problems. The novelty of the work lies in combining exponential integrator schemes with compact… More >

Shaik Mohammed Ibrahim¹, Bhavanam Naga Lakshmi², Chundru Maheswari³, Hasan Koten^4,*

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 (Al₂O₃–Cu/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 >

Pennelli Saila Kumari¹, Shaik Mohammed Ibrahim^1,*, Prathi Vijaya Kumar², Giulio Lorenzini^3,*

Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1639-1660, 2025, DOI:10.32604/fhmt.2025.069063 - 31 October 2025

Abstract In this paper, the authors examine various slip effects on the magnetic field and thermal radiative impacts on the flow, mass and heat transfer of a Jeffrey nanofluid over a 2-dimensional inclined stretching sheet by a porous media. The offered work is modelled to be in the form of a combination of coupled highly nonlinear partial differential equations in dimensional contexts. Governing equations were obtained, dimensionless parameters were defined in terms of similarity parameters, and the solutions were obtained by the Homotopy Analysis Method (HAM). The analysis is significant as the effects of viscosity are… More >

B. Rajesh¹, Fateh Mebarek-Oudina^2,3,4,*, N. Vishnu Ganesh¹, Qasem M. Al-Mdallal⁵, Sami Ullah Khan⁶, Murali Gundagnai⁷, Hillary Muzara⁸

Frontiers in Heat and Mass Transfer, Vol.23, No.4, pp. 1243-1260, 2025, DOI:10.32604/fhmt.2025.066782 - 29 August 2025

Abstract The behavior of buoyancy-driven magnetohydrodynamic (MHD) nanofluid flows with temperature-sensitive viscosity plays a pivotal role in high-performance thermal systems such as electronics cooling, nuclear reactors, and metallurgical processes. This study focuses on the boundary layer flow of a Casson-based sodium alginate Fe₃O₄ nanofluid influenced by magnetic field-dependent viscosity and thermal radiation, as it interacts with a vertically stretching sheet under dissipative conditions. To manage the inherent nonlinearities, Lie group transformations are applied to reformulate the governing boundary layer equations into similarity forms. These reduced equations are then solved via the Spectral Quasi-Linearization Method (SQLM), ensuring high More >

Haris Alam Zuberi¹, Madan Lal¹, Amol Singh¹, Nurul Amira Zainal^2,3,*, Ali J. Chamkha⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.2, pp. 1839-1864, 2025, DOI:10.32604/cmes.2024.056661 - 27 January 2025

Abstract Nanotechnology holds immense importance in the biomedical field due to its ability to revolutionize healthcare on a molecular scale. Motivated by the imperative of enhancing patient outcomes, a comprehensive numerical simulation study on the dynamics of blood flow in a stenosed artery, focusing on the effects of copper and alumina nanoparticles, is conducted. The study employs a 2-dimensional Newtonian blood flow model infused with copper and alumina nanoparticles, considering the influence of a magnetic field, thermal radiation, and various flow parameters. The governing differential equations are first non-dimensionalized to facilitate analysis and subsequently solved using… More >

Ghaliah Alhamzi¹, Badr Saad T. Alkahtani^2,*, 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 >

Taher Armaghani¹, Lioua Kolsi², Najiyah Safwa Khashi’ie^3,*, 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 >

T. Aghalya, R. Tamizharasi^*

CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.1, pp. 431-460, 2024, DOI:10.32604/cmes.2024.046635 - 16 April 2024

Abstract In this study, the characteristics of heat transfer on an unsteady magnetohydrodynamic (MHD) Casson nanofluid over an exponentially accelerated vertical porous plate with rotating effects were investigated. The flow was driven by the combined effects of the magnetic field, heat radiation, heat source/sink and chemical reaction. Copper oxide () and titanium oxide () are acknowledged as nanoparticle materials. The nondimensional governing equations were subjected to the Laplace transformation technique to derive closed-form solutions. Graphical representations are provided to analyze how changes in physical parameters, such as the magnetic field, heat radiation, heat source/sink and chemical… More >