Abdullah A.A.A. Al-Rashed^a , Lioua Kolsi^b,d,*, K. Kalidasan^c , Chemseddine Maatki^d, Mohamed Naceur Borjini^d , Mohamed Aichouni^b, P. Rajesh Kanna^e

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-10, 2017, DOI:10.5098/hmt.8.31

Abstract A finite volume based three dimensional numerical analysis is performed on the effect of angle of inclination of the external magnetic force on entropy generation due to natural convection inside the cubical cavity filled with CNT - water nanofluid. The governing equations are numerically solved by vorticity - vector potential formalism. The vertical walls of enclosure are differentially heated and the horizontal walls are adiabatic. The effect due to Rayleigh number (10³ ≤ Ra ≤ 10⁵), Hartmann number (0 ≤ Ha ≤ 100), angle of inclination of external magnetic field (0° ≤ α ≤ 90°) and volumetric fraction (0 ≤… More >

R. Srinivasa Raju^a,*, G. Jithender Reddy^b , G. Anitha^a

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-12, 2017, DOI:10.5098/hmt.8.27

Abstract In the present study, consider an influence of chemical reaction on an unsteady MHD free convective, viscous dissipative Casson fluid flow over a vertically inclined plate in presence of magnetic field, heat and mass transfer. The modeling equations are converted to dimensionless equations, then solved through finite element technique. Computations were performed to analyze the behavior of fluid velocity, temperature, concentration and induced magnetic field on the inclined vertical plate with the variation of emerging physical parameters. Compared the present results with earlier reported studies for correctness and applicability of finite element technique. This model may be useful in view… More >

Shalini Jain^*, Amit Parmar

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.40

Abstract Present paper aims to investigate entropy generation of unsteady radiative Casson fluid flow through porous medium over a permeable stretching surface with inclined magnetic field. Time-dependent partial differential equations are transformed into non-linear ordinary differential equations using similarity transformations. These transformed equations are solved numerically by Runge–Kutta fourth-order with shooting technique. The effects of pertinent parameter such as magnetic field parameter, Casson fluid parameter, inclined angle of magnetic field parameter, Radiation parameter and Reynolds number on the velocity, temperature and entropy profiles are presented graphically. Local Nusselt and local Sherwood number are also obtained and presented in tabulated form. More >

Gauri Shanker Seth^*, Arnab Bhattacharyya, Rajat Tripathi

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-12, 2017, DOI:10.5098/hmt.9.21

Abstract A study on unsteady MHD natural convection flow of an optically thin, heat radiating, incompressible, viscous, chemically reactive, temperature dependent heat absorbing and electrically conducting fluid past an exponentially accelerated infinite vertical plate having ramped temperature, embedded in a porous medium is carried out, considering the effects of Hall current and rotation. Governing equations are non-dimensionalized and Laplace Transform Technique is used to find the exact solutions for non-dimensional velocity, temperature and concentration fields. The quantities of physical interest i.e. shear stress at the plate, rate of heat and mass transfers at the plate are also derived. Numerical results for… More >

Sanjib Sengupta^a,*, Amrit Karmakar^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-12, 2018, DOI:10.5098/hmt.10.19

Abstract An exact analysis is made to study the magnetohydrodynamics (MHD) free convective flow of an electrically conducting and chemically reacting Newtonian, incompressible, viscous fluid, flowing past an infinite vertical plate with combined heat and mass transfer. An inclined magnetic field of uniform strength is applied to the plate. As the value of the magnetic Reynolds number is of comparable order of magnitude, the effect of induced magnetic field is being considered and on the other hand due to weak voltage difference caused by the very low polarization charges, the influence of electric field is considered to be neglected. Cross-diffusion effects,… More >

P. Bala Anki Reddy^a,*, S. Suneetha^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-9, 2018, DOI:10.5098/hmt.10.7

Abstract This work concentrates on the effects of homogeneous-heterogeneous chemical reactions on MHD boundary layer flow of Casson fluid over a stretching surface. Cattaneo-Christov heat flux model is considered instead of classical Fourier’s law to explore the heat transfer phenomena. Appropriate similarity transformations are used to convert the governing partial differential equations into a system of coupled non-linear differential equations. The resulting coupled non-linear differential equations are solved numerically by using the fourth order Runge-Kutta method with shooting technique. The impact of significant parameters on velocity, temperature, concentration, skin friction coefficient and the Nusselt number are presented graphically and in tabular… More >

Thirupathi Thumma^a,*, M.D. Shamshuddin^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-12, 2018, DOI:10.5098/hmt.10.5

Abstract This paper numerically investigates the magnetohydrodynamic boundary layer convective flow of an electrically conducting fluid in the presence of buoyancy ratio, heat source, variable magnetic field and radiation over an inclined nonlinear stretching sheet under convective surface boundary conditions. The Rosseland approximation is adopted for thermal radiation effects and the non-uniform magnetic field applied in a transverse direction to the flow. The coupled nonlinear momentum, thermal and species concentration governing boundary layer equations are rendered into a system of third order momentum and second order energy and mass diffusion ordinary differential equations via similarity transformations with appropriate boundary conditions. The… More >

Xinzong Wang¹, Xiaofang Kang^1,2,*, Qingguan Lei¹

CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.2, pp. 1749-1771, 2023, DOI:10.32604/cmes.2023.027745

Abstract The chaotic motion behavior of the rectangular conductive thin plate that is simply supported on four sides by airflow and mechanical external excitation in a magnetic field is studied. According to Kirchhoff ’s thin plate theory, considering geometric nonlinearity and using the principle of virtual work, the nonlinear motion partial differential equation of the rectangular conductive thin plate is deduced. Using the separate variable method and Galerkin’s method, the system motion partial differential equation is converted into the general equation of the Duffing equation; the Hamilton system is introduced, and the Melnikov function is used to analyze the Hamilton system,… More > Graphic Abstract

Ali Rehman^a , Zabidin Salleh^a,* , Taza Gul^b

Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-7, 2020, DOI:10.5098/hmt.14.20

Abstract This research paper explains the analytical solution unsteady squeezing flow of water based CNTs for both MWCNT and SWCNT in the presence of magnetic field and variable thermal conductivity. The given partial differential equation is converted to nonlinear ordinary differential equation by using the similarity transformation and solve by analytical method namely optimal homotopy asymptotic method (OHAM) to obtain analytical solution of the nonlinear problem which analyze the problem. The result of important parameter for both velocity and temperature profiles are plotted and discussed. The BVPh 2.0 package is used to obtain the convergence of the problem up to 25… More >

Hamzeh T. Alkasasbeh^a,*, Mohammed Z. Swalmeh^b , Hebah G. Bani Saeed^c , Feras M. Al Faqih^c , Adeeb G. Talafha^c

Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-7, 2020, DOI:10.5098/hmt.14.15

Abstract This study aims at considering the properties of heat transfer and magneto-hydrodynamics (MHD) Casson nanofluid at the existence of free convection boundary layer flow with Carbon Nanotubes (CNTs) suspended in human blood/water as based fluid on a stretching sheet. Two types of CNTs nanoparticles, single walled carbon nanotubes (SWCNTs) and multi walled carbon nanotubes (MWCNTs), are taken into account. The governing partial differential equations are transformed to partial differential equations using similar transformation, then solved numerically by an implicit finite difference scheme known as Keller-box method (KBM). The results for physical quantities, the local skin friction, and local Nusselt number,… More >