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 >

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 >

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

Jawad Raza¹, F. Mebarek-Oudina^2,*, Haider Ali¹, I. E. Sarris³

Frontiers in Heat and Mass Transfer, Vol.22, No.4, pp. 1017-1041, 2024, DOI:10.32604/fhmt.2024.052749 - 30 August 2024

Abstract The current study is dedicated to presenting the Casson nanofluid over a stretching surface with activation energy. In order to make the problem more realistic, we employed magnetic field and slip effects on fluid flow. The governing partial differential equations (PDEs) were converted to ordinary differential equations (ODEs) by similarity variables and then solved numerically. The MATLAB built-in command ‘bvp4c’ is utilized to solve the system of ODEs. Central composite factorial design based response surface methodology (RSM) is also employed for optimization. For this, quadratic regression is used for data analysis. The results are concluded More > Graphic Abstract

Mahzad Ahmed¹, Raja Mussadaq Yousaf², Ali Hassan^3,4,*, 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 >

R. Madan Kumar¹, R. Srinivasa Raju², F. Mebarek-Oudina^3,*, M. Anil Kumar⁴, V. K. Narla²

Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 15-34, 2024, DOI:10.32604/fhmt.2024.048045 - 21 March 2024

Abstract The primary aim of this research endeavor is to examine the characteristics of magnetohydrodynamic Williamson nanofluid flow past a nonlinear stretching surface that is immersed in a permeable medium. In the current analysis, the impacts of Soret and Dufour (cross-diffusion effects) have been attentively taken into consideration. Using appropriate similarity variable transformations, the governing nonlinear partial differential equations were altered into nonlinear ordinary differential equations and then solved numerically using the Runge Kutta Fehlberg-45 method along with the shooting technique. Numerical simulations were then perceived to show the consequence of various physical parameters on the… More > Graphic Abstract

Hanumesh Vaidya¹, Fateh Mebarek-Oudina^2,*, K. V. Prasad¹, Rajashekhar Choudhari³, Neelufer Z. Basha¹, Sangeeta Kalal¹

Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 65-78, 2024, DOI:10.32604/fhmt.2024.047879 - 21 March 2024

Abstract This investigation aims to analyze the effects of heat transport characteristics in the unsteady flow of nanofluids over a moving plate caused by a moving slot factor. The BRS variable is utilized for the purpose of analyzing these characteristics. The process of mathematical computation involves converting the governing partial differential equations into ordinary differential equations that have suitable similarity components. The Keller-Box technique is employed to solve the ordinary differential equations (ODEs) and derive the corresponding mathematical outcomes. Figures and tables present the relationship between growth characteristics and various parameters such as temperature, velocity, skin More > Graphic Abstract

S. H. Elhag^*

Frontiers in Heat and Mass Transfer, Vol.22, No.1, pp. 377-395, 2024, DOI:10.32604/fhmt.2023.044428 - 21 March 2024

Abstract A review of the literature revealed that nanofluids are more effective in transferring heat than conventional fluids. Since there are significant gaps in the illumination of existing methods for enhancing heat transmission in nanomaterials, a thorough investigation of the previously outlined models is essential. The goal of the ongoing study is to determine whether the microscopic gold particles that are involved in mass and heat transmission drift in freely. The current study examines heat and mass transfer on 3D MHD Darcy–Forchheimer flow of Casson nanofluid-induced bio-convection past a stretched sheet. The inclusion of the nanoparticles… More >