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 >

Minghai Zheng¹, Zhaoxia Cui^1,*, Jiang Liu¹, Jianjun Li²

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 431-455, 2025, DOI:10.32604/cmes.2025.071913 - 30 October 2025

Abstract To accurately depict the strong nonlinear relationship between the viscosity of propellant slurry and shear rate, premix time, and temperature, and to improve the prediction accuracy, based on the sample preparation and experimental measurement of a certain type of propellant, viscosity data under multiple working conditions were obtained as the basic data for the research. By comparing typical models such as support vector regression and random forest, it was found that although the traditional BP neural network was superior to the both, its accuracy was still insufficient. Based on this, a BP model co-optimized by… More >

Rehman Ali Shah^1,2, Zeeshan Asghar^3,*, Chenji Li², Arezoo Ardekani², Nasir Ali¹

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 753-778, 2025, DOI:10.32604/cmes.2025.069177 - 30 October 2025

Abstract The objective of this work is to investigate the dynamics of a self-propelled undulating sheet in a non-Newtonian electrolyte solution inside a wavy channel under the electroosmotic effect. The electrolyte solution, which is non-Newtonian, is modeled as a Carreau-Yasuda fluid. The flow generated by a combination of an undulating sheet and electroosmotic effect is obtained by solving the continuity and momentum equations. The electroosmotic body force term is derived using the Poisson-Boltzmann equation for the electric potential. A fourth-order ordinary differential equation for the stream function is solved under the Stokes flow regime. The dynamics More >

Umer Farooq¹, Nabil Kerdid^2,*, Yasir Nawaz³, Muhammad Shoaib Arif ⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.1, pp. 873-898, 2025, DOI:10.32604/cmes.2025.066800 - 31 July 2025

Abstract In this study, we proposed a numerical technique for solving time-dependent partial differential equations that arise in the electro-osmotic flow of Carreau fluid across a stationary plate based on a modified exponential integrator. The scheme is comprised of two explicit stages. One is the exponential integrator type stage, and the second is the Runge-Kutta type stage. The spatial-dependent terms are discretized using the compact technique. The compact scheme can achieve fourth or sixth-order spatial accuracy, while the proposed scheme attains second-order temporal accuracy. Also, a mathematical model for the electro-osmotic flow of Carreau fluid over… More >

Amira M’hadbi^1,2,*, Mohammed El Ganaoui¹, Haïkel Ben Hamed³, Amenallah Guizani², Khalid Chtaibi³

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.9, pp. 2091-2108, 2024, DOI:10.32604/fdmp.2024.050763 - 23 August 2024

Abstract The behavior of non-Newtonian power-law nanofluids under free convection heat transfer conditions in a cooled square enclosure equipped with a heated fin is investigated numerically. In particular, the impact of nanofluids, composed of water and Al₂O₃, TiO₂, and Cu nanoparticles, on heat transfer enhancement is examined. The aim of this research is also to analyze the influence of different parameters, including the Rayleigh number (Ra = 10⁴ − 10⁶), nanoparticle volume fraction (φ = 0% − 20%), non-Newtonian power-law indexes (n = 0.6 − 1.4), and fin dimensions (Ar = 0.3, 0.5, and 0.7). Streamlines and isotherms are used to… More > Graphic Abstract

Binghui Cui^1,*, Liaojun Zhang²

CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 357-376, 2023, DOI:10.32604/cmes.2022.022309 - 29 September 2022

Abstract Flow-type landslide is one type of landslide that generally exhibits characteristics of high flow velocities, long jump distances, and poor predictability. Simulation of its propagation process can provide solutions for risk assessment and mitigation design. The smoothed particle hydrodynamics (SPH) method has been successfully applied to the simulation of two-dimensional (2D) and three-dimensional (3D) flow-like landslides. However, the influence of boundary resistance on the whole process of landslide failure is rarely discussed. In this study, a boundary condition considering friction is proposed and integrated into the SPH method, and its accuracy is verified. Moreover, the… More > Graphic Abstract

Nourhan I. Ghoneim^1,*, Ahmed M. Megahed²

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.2, pp. 407-419, 2023, DOI:10.32604/fdmp.2022.020508 - 29 August 2022

Abstract A mathematical model is elaborated for the laminar flow of an Eyring-Powell fluid over a stretching sheet. The considered non-Newtonian fluid has Prandtl number larger than one. The effects of variable fluid properties and heat generation/absorption are also discussed. The balance equations for fluid flow are reduced to a set of ordinary differential equations through a similarity transformation and solved numerically using a Chebyshev spectral scheme. The effect of various parameters on the rate of heat transfer in the thermal boundary regime is investigated, i.e., thermal conductivity, the heat generation/absorption ratio and the mixed convection More >

Anupam Krishnan¹, Anjana P. Anantharaman^2,*

Molecular & Cellular Biomechanics, Vol.19, No.2, pp. 77-88, 2022, DOI:10.32604/mcb.2022.018369 - 25 March 2022

Abstract Computational Fluid Dynamics has become relevant in the study of hemodynamics, where clinical results are challenging to obtain. This paper discusses a 2-Dimensional transient blood flow analysis through an arterial bifurcation for patients infected with the Coronavirus. The geometry considered is an arterial bifurcation with main stem diameter 3 mm and two outlets. The left outlet (smaller) has a diameter of 1.5 mm and the right outlet (larger), 2 mm. The length of the main stem, left branch and right branch are fixed at 35 mm, 20 mm and 25 mm respectively. Viscosity change that… More >

Farnaz Ismail¹, Mubashir Qayyum^{2, *}, Syed Inayat Ali Shah¹

CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.3, pp. 825-845, 2020, DOI:10.32604/cmes.2020.011073 - 21 August 2020

Abstract Modeling and analysis of thin film flow with respect to magneto hydro dynamical effect has been an important theme in the field of fluid dynamics, due to its vast industrial applications. The analysis involves studying the behavior and response of governing equations on the basis of various parameters such as thickness of the film, film surface profile, shear stress, liquid velocity, volumetric flux, vorticity, gravity, viscosity among others, along with different boundary conditions. In this article, we extend this analysis in fractional space using a homotopy based scheme, considering the case of a Non-Newtonian Pseudo-Plastic… More >

Heng-Pin Hsu^a , Chuo-Jeng Huang^b,*, Herchang Ay^a

Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-8, 2019, DOI:10.5098/hmt.13.14

Abstract The heat and mass transfer characteristics of the influence of uniform blowing/suction and MHD (magnetohydrodynamic) on the free convection of non-Newtonian fluids over a vertical plate in porous media with internal heat generation and Soret/Dufour effects are numerically analyzed. The surface of the vertical plate has a uniform wall temperature and uniform wall concentration (UWT/UWC). The numerical modeling of this problem attracts considerable attention, owing to its practical applications in biological sciences, electronic cooling, advanced nuclear systems, etc. The transformed governing equations are solved by Keller box method. Comparisons showed excellent agreement with the numerical More >