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  • Open Access

    ARTICLE

    Cross-Diffusion Effects on an MHD Williamson Nanofluid Flow Past a Nonlinear Stretching Sheet Immersed in a Permeable Medium

    R. Madan Kumar1, R. Srinivasa Raju2, F. Mebarek-Oudina3,*, 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 plots of velocity, temperature, and… More > Graphic Abstract

    Cross-Diffusion Effects on an MHD Williamson Nanofluid Flow Past a Nonlinear Stretching Sheet Immersed in a Permeable Medium

  • Open Access

    ARTICLE

    Effects of Viscous Dissipation and Periodic Heat Flux on MHD Free Convection Channel Flow with Heat Generation

    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 insights into MHD flow behavior… More >

  • Open Access

    ARTICLE

    Natural Convection and Irreversibility of Nanofluid Due to Inclined Magnetohydrodynamics (MHD) Filled in a Cavity with Y-Shape Heated Fin: FEM Computational Configuration

    Afraz Hussain Majeed1, Rashid Mahmood2, Sayed M. Eldin3, Imran Saddique4,5,*, 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 thermal plots concerning parameters are… More >

  • Open Access

    ARTICLE

    Chemically Radiative MHD Flow of a Micropolar Nanofluid over a Stretching/Shrinking Sheet with a Heat Source or Sink

    Parakapali Roja1, Shaik Mohammed Ibrahim2, Thummala Sankar Reddy3, Giulio Lorenzini4,*

    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 that the micro-rotational velocity of… More >

  • Open Access

    ARTICLE

    Flow Breakdown of Hybrid Nanofluid on a Rigid Surface with Power Law Fluid as Lubricated Layers

    Mirza Naveed Jahangeer Baig1, Nadeem Salamat1, Sohail Nadeem2,3,*, Naeem Ullah2, Mohamed Bechir Ben Hamida4,5,6, 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. The results based on… More >

  • Open Access

    ARTICLE

    MICROPOLAR FLUID FLOW OVER A NONLINEAR STRETCHING CONVECTIVELY HEATED VERTICAL SURFACE IN THE PRESENCE OF CATTANEO-CHRISTOV HEAT FLUX AND VISCOUS DISSIPATION

    Machireddy Gnaneswara Reddya,*, Gorla Rama Subba Reddyb

    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 utilized to resolve the altered… More >

  • Open Access

    ARTICLE

    MULTIPLE SLIPS AND CHEMICAL REACTION EFFECTS ON MHD STAGNATION POINT FLOW OF CASSON FLUID OVER A STRETCHING SHEET WITH VISCOUS AND JOULES HEATING

    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 friction coefficient and the rate… More >

  • Open Access

    ARTICLE

    HOMOTOPY ANALYSIS FOR MHD HIEMENZ FLOW IN A POROUS MEDIUM WITH THERMAL RADIATION, VELOCITY AND THERMAL SLIPS EFFECTS

    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, wall temperature exponent and thermal… More >

  • Open Access

    ARTICLE

    MHD FLOW IN A CIRCULAR HORIZONTAL PIPE UNDER HEAT SOURCE/SINK WITH SUCTION/INJECTION ON WALL

    G. Nagarajua,∗ , Mahesh Garvandhab, J.V. Ramana Murthyc

    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 the significant effect on temperature… More >

  • Open Access

    ARTICLE

    NUMERICAL SOLUTION OF THE EFFECTS OF HEAT AND MASS TRANSFER ON UNSTEADY MHD FREE CONVECTION FLOW PAST AN INFINITE VERTICAL PLATE

    D. Santhi Kumaria,*, Venkata Subrahmanyam Sajjaa, P. M. Kishoreb,†

    Frontiers in Heat and Mass Transfer, Vol.16, pp. 1-10, 2021, DOI:10.5098/hmt.16.24

    Abstract This study attempts to explore a qualitative analysis of the effects of Soret on an unsteady magnetohydrodynamics free convection flow of a chemically reacting incompressible fluid past an infinite vertical plate embedded in a porous medium taking the source of heat and thermal radiation into account as well as viscous dissipation. The central equations are scrupulously converted into sets of coupled nonlinear partial differential equations for providing logical solutions. The method of Galerkin finite element is used considering appropriate boundary conditions for diverse physical metrics and then numerically analyzed employing MATLAB. A significant change in velocity, temperature, concentration profiles is… More >

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