Aleksandr Poluyanov^*, Ilya Kolesnichenko

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

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

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

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

Mustafa Abdullah^*

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

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 >

Afraz Hussain Majeed¹, Rashid Mahmood², Sayed M. Eldin³, Imran Saddique^4,5,*, S. Saleem⁶, Muhammad Jawad⁷

CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.2, pp. 1505-1519, 2024, DOI:10.32604/cmes.2023.030255

Abstract This study explains the entropy process of natural convective heating in the nanofluid-saturated cavity in a heated fin and magnetic field. The temperature is constant on the Y-shaped fin, insulating the top wall while the remaining walls remain cold. All walls are subject to impermeability and non-slip conditions. The mathematical modeling of the problem is demonstrated by the continuity, momentum, and energy equations incorporating the inclined magnetic field. For elucidating the flow characteristics Finite Element Method (FEM) is implemented using stable FE pair. A hybrid fine mesh is used for discretizing the domain. Velocity and More >

Parakapali Roja¹, Shaik Mohammed Ibrahim², Thummala Sankar Reddy³, Giulio Lorenzini^4,*

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.2, pp. 257-274, 2024, DOI:10.32604/fdmp.2023.042283

Abstract This study examines the behavior of a micropolar nanofluid flowing over a sheet in the presence of a transverse magnetic field and thermal effects. In addition, chemical (first-order homogeneous) reactions are taken into account. A similarity transformation is used to reduce the system of governing coupled non-linear partial differential equations (PDEs), which account for the transport of mass, momentum, angular momentum, energy and species, to a set of non-linear ordinary differential equations (ODEs). The Runge-Kutta method along with shooting method is used to solve them. The impact of several parameters is evaluated. It is shown More >

Mirza Naveed Jahangeer Baig¹, Nadeem Salamat¹, Sohail Nadeem^2,3,*, Naeem Ullah², Mohamed Bechir Ben Hamida^4,5,6, Hassan Ali Ghazwani⁷, Sayed M. Eldin⁸, A. S. Al-Shafay⁹

CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1485-1499, 2024, DOI:10.32604/cmes.2023.029351

Abstract This work investigates an oblique stagnation point flow of hybrid nanofluid over a rigid surface with power law fluid as lubricated layers. Copper (Cu) and Silver (Ag) solid particles are used as hybrid particles acting in water H₂O as a base fluid. The mathematical formulation of flow configuration is presented in terms of differential system that is nonlinear in nature. The thermal aspects of the flow field are also investigated by assuming the surface is a heated surface with a constant temperature T. Numerical solutions to the governing mathematical model are calculated by the RK45 algorithm. More >

Machireddy Gnaneswara Reddy^a,*, Gorla Rama Subba Reddy^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-9, 2017, DOI:10.5098/hmt.8.20

Abstract The objective of the present communication is to study the problem of micropolar fluid flow with temperature dependent thermal conductivity over a nonlinear stretching convective vertical surface in the presence of Lorentz force and viscous dissipation. Due to the nature of heat transfer in the flow past vertical surface, Cattaneo-Christov heat flux model and Joule heating effects are properly accommodated in the energy equation. The governing partial differential equations for the flow and heat transfer are converted into a set of ordinary differential equations by employing the acceptable similarity transformations. Runge-Kutta and Newton’s methods are More >

G. Vinod Kumar, R. V. M. S. S. Kiran Kumar^* , S. V. K. Varma

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.23

Abstract The steady boundary layer stagnation flow of a Casson fluid over a stretching sheet with slips boundary conditions in the presence of viscous dissipation, Joule heating and the first order destructive chemical reaction is analyzed. The governing flow problem is based on momentum equation, energy equation, and mass diffusion equation and these are further simplified with the help of similarity transformations. The reduced, resulting highly nonlinear coupled ordinary differential equations are solved using the Matlab bvp4c package. The effects of various parameters on the dimensionless velocity, temperature, and concentration as well as on the skin More >

Nasreen Bano^∗,† , B. B. Singh, S. R. Sayyed

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.14

Abstract The present study deals with the two dimensional steady laminar forced MHD Hiemenz flow past a flat plate in a porous medium. The effects of thermal radiation and partial slips on the flow field have been investigated under the variable wall temperature condition of the plate. The governing equations have been transformed into a set of coupled non-linear ordinary differential equations (ODEs) by using suitable similarity transformations. These equations have been solved analytically by using homotopy analysis method (HAM). The effects of Prandtl number, suction/blowing parameter, permeability parameter, velocity slip parameter, radiation parameter, magnetic parameter, More >

G. Nagaraju^a,∗ , Mahesh Garvandha^b, J.V. Ramana Murthy^c

Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-8, 2019, DOI:10.5098/hmt.13.6

Abstract This paper analyzes a hypothesis of the 2−dimensional thermal transport behavior of Newtonian axisymmetric, viscous heating flow in a horizontal pipe. The flow is subjected to an externally applied uniform suction across the pipe wall in the polar direction, a constant magnetic field perpendicular to the wall and a uniform heat source/sink on the surface of the cylinder. The thermal boundary condition is imposed as a uniform heat flux. The Velocity fields are expressed in terms of stream function and the solution is obtained using the homotopy analysis method (HAM). Graphs are designed to analyze More >