H. Kamlesh¹, E. P. Siva^1,*, P. Bathmanaban², O. D. Makinde³, Dharmendra Tripathi⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.147, No.2, 2026, DOI:10.32604/cmes.2026.081147 - 27 May 2026

Abstract The current study comprehensively investigates Williamson nanofluid flow and transport in an asymmetric porous tapered channel under varying slip conditions, using both analytical and supervised machine learning approaches. This mathematical model integrates thermophoresis, Brownian motion, the Soret and Dufour effects, thermal radiation, and a transverse magnetic field to accurately describe thermosoluble transport phenomena relevant to biomedical contexts. The non-Newtonian Williamson formulation is used to explain how fluids, such as blood, dilute when sheared. Darcy resistance is used to describe porous structures in tissue scaffolds, capillary networks, and dialysis membranes. A perturbation method is used to… More >

Sarna Soren¹, Samrat Hansda^1,*, Umair Khan^2,3, Anuar Ishak⁴, Ahmed Kadhim Hussein⁵, Md Mamun Molla^6,7

CMES-Computer Modeling in Engineering & Sciences, Vol.147, No.2, 2026, DOI:10.32604/cmes.2026.079635 - 27 May 2026

Abstract This study presents a numerical investigation of thermosolutal convection within a baffled porous cavity filled with a radiative Casson-based ternary aqueous nanofluid. The ternary hybrid nanofluid is formulated by dispersing three distinct nanoparticles into a water-based solution, aiming to enhance the thermal and solute transport characteristics. The cavity includes internal baffles that modulate convective flow and facilitate improved energy transport. The governing equations for momentum, energy, species concentration, and entropy generation are discretized and solved using a higher-order compact (HOC) finite difference scheme, ensuring superior numerical precision. The novelty of the present study lies in… More >

Yasir Khan¹, Arshad Riaz^2,*, Iqra Batool², Safia Akram³, A. Alameer¹, Ghaliah Alhamzi⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.146, No.3, 2026, DOI:10.32604/cmes.2026.078060 - 30 March 2026

Abstract Tangent hyperbolic fluids characterized by shear-thinning behavior, are widely utilized in diverse industrial and scientific fields such as polymer engineering, inkjet printing, biofluids modeling, thermal insulation materials, and chemical manufacturing. Additionally, double-diffusive convection involving simultaneous heat and mass transfer driven by temperature and concentration gradients plays a critical role in many natural and industrial systems, including oceanic circulation, geothermal energy extraction, crystal solidification, alloy formation, and enhanced oil recovery. The current work examines the peristaltic transport of a tangent hyperbolic nanofluid under the concurrent effects of thermal radiation, electroosmotic forces, slip boundary conditions, and double… More >

Adebowale Martins Obalalu^1,*, Abdulazeez Adebayo Usman², Umair Khan³

FDMP-Fluid Dynamics & Materials Processing, Vol.22, No.2, 2026, DOI:10.32604/fdmp.2026.076959 - 04 March 2026

Abstract Efficient thermal management in porous media is essential for advanced engineering applications, including solar energy systems, electronic cooling, and aerospace thermal control. This study presents a comprehensive analysis of ternary hybrid nanofluids, TiO₂–CdTe–MoS₂ dispersed in water, flowing over a vertical stretching or shrinking surface in a Darcy–Brinkman porous medium. The investigation accounts for the combined effects of magnetohydrodynamics, thermal radiation, viscous dissipation, and internal heat generation. In contrast to previous studies that predominantly focused on single or binary nanofluids, the present work systematically examines the thermal and hydrodynamic performance of ternary hybrid nanofluids, highlighting their enhanced… More >

M. Faizan¹, Syed Sohaib Zafar², Farhan Ali¹, Umair Khan^3,4, Aurang Zaib⁵, Najiyah Safwa Khashi’ie^6,*

Frontiers in Heat and Mass Transfer, Vol.24, No.1, 2026, DOI:10.32604/fhmt.2026.075018 - 28 February 2026

Abstract The purpose of the present investigation is to explore the implications of Cross fluid in a Darcy-Forchheimer porous medium due to the tri-hybrid nanofluid past a porous cylinder. Thermal radiation, heat generation, thermal convection, solutal convective and chemical reaction have been encountered in this analysis. Entropy generation has been accounted for under the fluidic friction, heat rate analysis, and porosity analysis. Three different nanoparticles of multiwall carbon nanotube (MWCNT), aluminum oxide (Al2O3), and silver (Ag) are utilized to illustrate the tri-hybrid nanofluid flow with Ethlene Glycol (EG) as the base fluid. The governance… More >

Adnan Ashique¹, Nehad Ali Shah¹, Usman Afzal¹, Yazen Alawaideh², Sohaib Abdal³, Jae Dong Chung^1,*

CMES-Computer Modeling in Engineering & Sciences, Vol.146, No.2, 2026, DOI:10.32604/cmes.2025.073292 - 26 February 2026

Abstract There is a need for accurate prediction of heat and mass transfer in aerodynamically designed, non-Newtonian nanofluids across aerodynamically designed, high-flux biomedical micro-devices for thermal management and reactive coating processes, but existing work is not uncharacteristically remiss regarding viscoelasticity, radiative heating, viscous dissipation, and homogeneous–heterogeneous reactions within a single scheme that is calibrated. This research investigates the flow of Williamson nanofluid across a dynamically wedged surface under conditions that include viscous dissipation, thermal radiation, and homogeneous-heterogeneous reactions. The paper develops a detailed mathematical approach that utilizes boundary layers to transform partial differential equations into ordinary… More >

Muhammad Hamzah¹, Muhammad Ramzan^2,*, Abdulrahman A. Almehizia³, Ibrahim Mahariq^4,5,6,7,8,*, Laila A. Al-Essa⁹, Ahmed S. Hassan¹⁰

CMES-Computer Modeling in Engineering & Sciences, Vol.146, No.1, 2026, DOI:10.32604/cmes.2025.070435 - 29 January 2026

Abstract The present investigation inspects the unsteady, incompressible MHD-induced flow of a ternary hybrid nanofluid made of SiO2 (silicon dioxide), ZnO (zinc oxide), and MWCNT (multi-walled carbon nanotubes) suspended in a water-ethylene glycol base fluid between two perforated squeezing Riga plates. This problem is important because it helps us understand the complicated connections between magnetic fields, nanofluid dynamics, and heat transport, all of which are critical for designing thermal management systems. These findings are especially useful for improving the design of innovative cooling technologies in electronics, energy systems, and healthcare applications. No prior study has… More >

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 >