K. Sinivasan¹, N. Vishnu Ganesh^1,*, G. Hirankumar², M. Al-Mdallal Qasem^3,*

FDMP-Fluid Dynamics & Materials Processing, Vol.21, No.5, pp. 1029-1049, 2025, DOI:10.32604/fdmp.2025.064503 - 30 May 2025

Abstract In this study, an analytical investigation is carried out to assess the impact of magnetic field-dependent (MFD) viscosity on the momentum and heat transfers inside the boundary layer of a Jeffrey fluid flowing over a horizontally elongating sheet, while taking into account the effects of ohmic dissipation. By applying similarity transformations, the original nonlinear governing equations with partial derivatives are transformed into ordinary differential equations. Analytical expressions for the momentum and energy equations are derived, incorporating the influence of MFD viscosity on the Jeffrey fluid. Then the impact of different parameters is assessed, including magnetic More >

Gurram Dharmaiah¹, Jupudi Lakshmi Rama Prasad², Chegu Ramprasad³, Samad Noeiaghdam^4,*, Unai Fernandez-Gamiz⁵, Saeed Dinarvand⁶

CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.2, pp. 2019-2044, 2025, DOI:10.32604/cmes.2025.061190 - 27 January 2025

Abstract The mathematical model for non-Newtonian magnetohydrodynamics flows across a vertically stretched surface with non-linear thermal radiation, mass and heat transfer rates, thermophoretic and Brownian movements, bio-convection, and motile microbes considered in the present work. It is possible to regulate the nanomaterial suspension in the nanofluid using the growth of microbes. With the use of boundary layer approximation, highly nonlinear partial differential equations were derived for the present flow model. The nonlinear partial differential equations are converted into ordinary differential equations by utilizing similarity transmutations, which simplify them. Numerical elixirs for ordinary differential equations are found 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 >

Mumtaz Khan^1,*, Muhammad Shoaib Anwar², Mudassar Imran³, Amer Rasheed⁴

Frontiers in Heat and Mass Transfer, Vol.22, No.5, pp. 1399-1419, 2024, DOI:10.32604/fhmt.2024.056597 - 30 October 2024

Abstract This study employs the Buongiorno model to explore nanoparticle migration in a mixed convection second-grade fluid over a slendering (variable thickness) stretching sheet. The convective boundary conditions are applied to the surface. In addition, the analysis has been carried out in the presence of Joule heating, slips effects, thermal radiation, heat generation and magnetohydrodynamic. This study aimed to understand the complex dynamics of these nanofluids under various external influences. The governing model has been developed using the flow assumptions such as boundary layer approximations in terms of partial differential equations. Governing partial differential equations are… More >

Noura Alsedais¹, Mohamed Ahmed Mansour², Abdelraheem M. Aly³, Sara I. Abdelsalam^4,5,*

Frontiers in Heat and Mass Transfer, Vol.22, No.5, pp. 1277-1307, 2024, DOI:10.32604/fhmt.2024.056087 - 30 October 2024

Abstract The research examines fluid behavior in a porous box-shaped enclosure. The fluid contains nanoscale particles and swimming microbes and is subject to magnetic forces at an angle. Natural circulation driven by biological factors is investigated. The analysis combines a traditional numerical approach with machine learning techniques. Mathematical equations describing the system are transformed into a dimensionless form and then solved using computational methods. The artificial neural network (ANN) model, trained with the Levenberg-Marquardt method, accurately predicts values, showing high correlation (R = 1), low mean squared error (MSE), and minimal error clustering. Parametric analysis reveals significant… More >

Mekonnen S. Ayano^1,*, Thokozani N. Khumalo¹, Stephen T. Sikwila², Stanford Shateyi³

Frontiers in Heat and Mass Transfer, Vol.22, No.4, pp. 1153-1169, 2024, DOI:10.32604/fhmt.2024.048474 - 30 August 2024

Abstract The present paper examines the temperature-dependent viscosity and thermal conductivity of a micropolar silver ()−Magnesium oxide () hybrid nanofluid made of silver and magnesium oxide over a rotating vertical cone, with the influence of transverse magnetic field and thermal radiation. The physical flow problem has been modeled with coupled partial differential equations. We apply similarity transformations to the non-dimensionalized equations, and the resulting nonlinear differential equations are solved using overlapping grid multidomain spectral quasilinearization method. The flow behavior for the fluid is scrutinized under the impact of diverse physical constraints, which are illustrated graphically. The More >

Aleksandr Poluyanov^*, Ilya Kolesnichenko

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.7, pp. 1553-1563, 2024, DOI:10.32604/fdmp.2024.050165 - 23 July 2024

Abstract The article presents an experimental study on the flow of an eutectic gallium alloy in a cylindrical cell, which is placed in an alternating magnetic field. The magnetic field is generated by a coil connected to an alternating current source. The coil is located at a fixed height in such a way that its plane is perpendicular to the gravity vector, which in turn is parallel to the axis of the cylinder. The position of the cylinder can vary in height with respect to the coil. The forced flow of the considered electrically conductive liquid… 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 >

He Wang^1,*, Ying He²

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.4, pp. 889-899, 2024, DOI:10.32604/fdmp.2023.042728 - 28 March 2024

Abstract Magnetohydrodynamic (MHD) induction pumps are contactless pumps able to withstand harsh environments. The rate of fluid flow through the pump directly affects the efficiency and stability of the device. To explore the influence of induction pump settings on the related delivery speed, in this study, a numerical model for coupled electromagnetic and flow field effects is introduced and used to simulate liquid metal lithium flow in the induction pump. The effects of current intensity, frequency, coil turns and coil winding size on the velocity of the working fluid are analyzed. It is shown that the 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