Yuan Mei^1,2, Daokui Li^1,2, Shiming Zhou^1,2,*, Zhibin Shen^1,2

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 153-187, 2025, DOI:10.32604/cmes.2025.070252 - 30 October 2025

Abstract Viscoelastic solids, such as composite propellants, exhibit significant time and rate dependencies, and their fracture processes display high levels of nonlinearity. However, the correlation between crack propagation and viscoelastic energy dissipation in these materials remains unclear. Therefore, accurately modeling and understanding of their fracture behavior is crucial for relevant engineering applications. This study proposes a novel viscoelastic phase-field model. In the numerical implementation, the adopted adaptive time-stepping iterative strategy effectively accelerates the coupling iteration efficiency between the phase-field and the displacement field. Moreover, all unknown parameters in the model, including the form of the phase-field 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 >

Sara I. Abdelsalam^1,2,*, W. Abbas³, Ahmed M. Megahed⁴, Hassan M. H. Sadek⁵, M. S. Emam⁵

Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1511-1527, 2025, DOI:10.32604/fhmt.2025.069359 - 31 October 2025

Abstract This study rigorously examines the interplay between viscous dissipation, magnetic effects, and thermal radiation on the flow behavior of a non-Newtonian Carreau squeezed fluid passing by a sensor surface within a micro cantilever channel, aiming to deepen our understanding of heat transport processes in complex fluid dynamics scenarios. The primary objective is to elucidate how physical operational parameters influence both the velocity of fluid flow and its temperature distribution, utilizing a comprehensive numerical approach. Employing a combination of mathematical modeling techniques, including similarity transformation, this investigation transforms complex partial differential equations into more manageable ordinary… More >

Shahina Akter^1,2, Muhammad Amer Qureshi³, Mohammad Ferdows^1,*

Frontiers in Heat and Mass Transfer, Vol.23, No.3, pp. 1013-1036, 2025, DOI:10.32604/fhmt.2025.062311 - 30 June 2025

Abstract This study explores free convective heat transfer in an electrically conducting nanofluid flow over a moving semi-infinite flat plate under the influence of an induced magnetic field and viscous dissipation. The velocity and magnetic field vectors are aligned at a distance from the plate. The Spectral Relaxation Method (SRM) is used to numerically solve the coupled nonlinear partial differential equations, analyzing the effects of the Eckert number on heat and mass transfer. Various nanofluids containing , , , and nanoparticles are examined to assess how external magnetic fields influence fluid behavior. Key parameters, including the More >

Syamala Ramadevu¹, Prathi Vijaya Kumar¹, Giulio Lorenzini^2,*, 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 >

Tahir Naseem¹, Fateh Mebarek-Oudina^2,3,*, Hanumesh Vaidya⁴, Nagina Bibi⁵, Katta Ramesh^6,7, Sami Ullah Khan⁸

CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.1, pp. 351-371, 2025, DOI:10.32604/cmes.2025.063196 - 11 April 2025

Abstract Maximizing the efficiency of thermal engineering equipment involves minimizing entropy generation, which arises from irreversible processes. This study examines thermal transport and entropy generation in viscous flow over a radially stretching disk, incorporating the effects of magnetohydrodynamics (MHD), viscous dissipation, Joule heating, and radiation. Similarity transformations are used to obtain dimensionless nonlinear ordinary differential equations (ODEs) from the governing coupled partial differential equations (PDEs). The converted equations are then solved by using the BVP4C solver in MATLAB. To validate the findings, the results are compared with previously published studies under fixed parameter conditions, demonstrating strong… More >

Sahar Anwar¹, Ghulam Rasool^2,*, Muhammad Ashraf¹, Uzma Ahmad¹, Tao Sun^2,*

Frontiers in Heat and Mass Transfer, Vol.22, No.5, pp. 1323-1341, 2024, DOI:10.32604/fhmt.2024.055314 - 30 October 2024

Abstract The present investigation centers on the impact of viscous dissipation and ohmic heating on the plume generated by a line heat source under the impact of an aligned magnetic field. In this study, the flow model is adapted to incorporate ohmic heating and viscous dissipation by including the respective terms in the energy equation. A mathematical model is formulated as a system of coupled partial differential equations to analyze the flow problem. Subsequently, a numerical solution is derived with stream function formulation for the system of coupled partial differential equations, which transmutes it into ordinary… More > Graphic Abstract

Haris Alam Zuberi¹, Madan Lal¹, Shivangi Verma¹, Nurul Amira Zainal^2,3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1137-1163, 2024, DOI:10.32604/cmes.2024.055493 - 27 September 2024

Abstract Motivated by the widespread applications of nanofluids, a nanofluid model is proposed which focuses on uniform magnetohydrodynamic (MHD) boundary layer flow over a non-linear stretching sheet, incorporating the Casson model for blood-based nanofluid while accounting for viscous and Ohmic dissipation effects under the cases of Constant Surface Temperature (CST) and Prescribed Surface Temperature (PST). The study employs a two-phase model for the nanofluid, coupled with thermophoresis and Brownian motion, to analyze the effects of key fluid parameters such as thermophoresis, Brownian motion, slip velocity, Schmidt number, Eckert number, magnetic parameter, and non-linear stretching parameter on… More > Graphic Abstract

M. Sridevi¹, B. Shankar Goud², Ali Hassan^3,4,*, D. Mahendar⁵

Frontiers in Heat and Mass Transfer, Vol.22, No.3, pp. 939-953, 2024, DOI:10.32604/fhmt.2024.050929 - 11 July 2024

Abstract This study intends to evaluate the influence of temperature stratification on an unsteady fluid flow past an accelerated vertical plate in the existence of viscous dissipation. It is assumed that the medium under study is a grey, non-scattered fluid that both fascinates and transmits radiation. The leading equations are discretized using the finite difference method (FDM). Using MATLAB software, the impacts of flow factors on flow fields are revealed with particular examples in graphs and a table. In this regard, FDM results show that the velocity and temperature gradients increase with an increase of Eckert More >

Mustafa Abdullah^*

Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 141-156, 2024, DOI:10.32604/fhmt.2024.046788 - 21 March 2024

Abstract This study investigates the influence of periodic heat flux and viscous dissipation on magnetohydrodynamic (MHD) flow through a vertical channel with heat generation. A theoretical approach is employed. The channel is exposed to a perpendicular magnetic field, while one side experiences a periodic heat flow, and the other side undergoes a periodic temperature variation. Numerical solutions for the governing partial differential equations are obtained using a finite difference approach, complemented by an eigenfunction expansion method for analytical solutions. Visualizations and discussions illustrate how different variables affect the flow velocity and temperature fields. This offers comprehensive More >