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

Frontiers in Heat and Mass Transfer, Vol.14, No.1, 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 >

Stanford Shateyi^a,∗, Hillary Muzara^b

Frontiers in Heat and Mass Transfer, Vol.14, No.1, pp. 1-10, 2020, DOI:10.5098/hmt.14.18

Abstract A theoretical analysis has been carried out to investigate the influence of unsteadiness on the laminar two-phase magnetohydrodynamic nanofluid flow filled with porous medium under the combined effects of Brownian motion and thermophoresis. Thermal variable conductivity, thermal radiation and viscous dissipation effects are also considered in this numerical study. The highly nonlinear partial differential equations are transformed into a set of coupled nonlinear ordinary differential equations through suitable similarity transformations. The resultant ordinary differential equations are then numerically solved using the spectral quasilinearization method. The effects of the pertinent physical parameters over the fluid velocity, temperature, concentration, skin friction, Nusselt… More >

Muhammad Nazim Tufail^a , Musharafa Saleem^a,b,*, Qasim Ali Chaudhry^b,†

Frontiers in Heat and Mass Transfer, Vol.15, No.1, pp. 1-10, 2020, DOI:10.5098/hmt.15.14

Abstract This methodology presented the unsteady three-dimensional laminar flow since Hall effects inducing the cross flow in z-axis. The boundary layer and the low magnetic Reynolds number approximations are used to simplify the system of equations derived from the constitutive laws. The upper-convected Maxwell (UCM) fluid model used for Hall effects with unsteady heat transfer, which passed through the infinite stretching sheet. This flow model has intensified with the effects of magnetohydrodynamic (MHD), thermal radiation and heat generation-absorption. Here, we selected the two-parameter Lie scaling transformations to convert the highly non-linear partial differential equations (PDEs) to the ordinary differential equations (ODEs)… More >

D. Santhi Kumari^a,*, Venkata Subrahmanyam Sajja^a, P. M. Kishore^b,†

Frontiers in Heat and Mass Transfer, Vol.16, No.1, 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 >

K.V. Chandra Sekhar^*

Frontiers in Heat and Mass Transfer, Vol.16, No.1, pp. 1-6, 2021, DOI:10.5098/hmt.16.10

Abstract The behavior of unsteady MHD flow of Jeffrey fluid over an inclined porous plate was analyzed in the present article. The governing partial differential equations of the flow phenomena were solved by using powerful mathematical tool Laplace transforms. The variations of velocity, temperature of the flow with respect to dissimilar physical parameters are analyzed through graphs. The parameters of engineering interest are skin friction and Nusselt number. For better understanding of the problem, variations of skin friction and Nusselt number with respect to critical parameters are tabulated. More >

Utpal Jyoti Das^a , Mira Das^b,*

Frontiers in Heat and Mass Transfer, Vol.17, No.1, pp. 1-8, 2021, DOI:10.5098/hmt.17.18

Abstract An unsteady mixed convection flow of an electrically conducting, viscous, incompressible fluid over an oscillating vertical surface in a Darcian porous regime in presence of heat generation/absorption and thermal radiation have been studied. The liquid and the surface is moving with constant angular velocity as a rigid body about an axis. The fluid is taken here to be gray, absorbing/emitting radiation but non scattering medium. Here firstorder chemical reaction and a transverse magnetic field have been considered. The presence of Hall current and Soret effect are considered. The governing coupled partial differential equations are solved by using Laplace transform technique… More >

Bamdeb Dey^a,† , Bhrigu Kumar Kalita^b, Rita Choudhury^b

Frontiers in Heat and Mass Transfer, Vol.18, No.1, pp. 1-8, 2022, DOI: 10.5098/hmt.18.32

Abstract In this paper, we attempt to analyze the effects of radiation and chemical reactions on laminar boundary layer flow of an electrically conducting unsteady viscoelastic incompressible fluid flow along a vertical semi-infinite plate passing through porous channel. The coupled nonlinear partial differential equations for energy, momentum, and mass diffusions are solved analytically with the use of perturbation technique. Moreover, the analytical expressions for fluid velocity, temperature, and concentration distributions are obtained and interpreted using the software MATLAB. The enhancement of velocity is prominent with the growth of G_r, G_m, N_r and K_r but a reverse pattern is observed with the… More >

K.V. Chandra Sekhar^*

Frontiers in Heat and Mass Transfer, Vol.19, No.1, pp. 1-8, 2022, DOI:10.5098/hmt.19.36

Abstract The current study explores heat and mass transfer analysis of unstable MHD boundary layer flow of electrically conducting Casson fluid near an infinite Perpendicular porous plate, moving with variable velocity. Mass diffusion equation was described by the homogenous first order chemical reaction. The equations controlling the flow converted into dimensionless form and solved by applying Laplace transform method and the expressions for velocity, temperature and concentration of the flow are acquired in exact form. To understand the physical insight of the problem a detailed study of involved parameters of the flow was done and explained in detailed with graphs. The… More >

Farhan Lafta Rashid^a , Abbas Fadhil Khalaf^a, Ahmed Kadhim Hussein^b, Mohamed Bechir Ben Hamida ^c,d,e, Bagh Ali^f, Obai Younis^g,*

Frontiers in Heat and Mass Transfer, Vol.19, No.1, pp. 1-6, 2022, DOI:10.5098/hmt.19.21

Abstract Convection and conduction in a fluid flow and a rigid body in contact with each other often occur in engineering situations, resulting in unsteady conjugate heat transfer (CHT). Although the analytical solutions to the separate conduction and convection issues are surprisingly straightforward, the combined conjugate heat transfer problem is substantially more complex to solve. This study investigates the CHT of a fluid (air) passing through an unbounded hemisphere. The hemisphere produces heat at a predictable and regular pace. The governing equations are solved using a finite volume system (FVS) using ANSYS Fluent V.16.0, with axisymmetric, no normal convection, and stable… More >

D. Santhi Kumari^a,* , Venkata Subrahmanyam Sajja^a , P. M. Kishore^b,†

Frontiers in Heat and Mass Transfer, Vol.20, No.1, pp. 1-11, 2023, DOI:10.5098/hmt.20.5

Abstract The aim of present study is an influence of viscous dissipation and heat source on an unsteady MHD mixed convective, fluid flow past an impulsively started oscillating plate embedded in a porous medium in presence of magnetic field, heat and mass transfer. The modeling equations are converted to dimensionless equations then solved through Galerkin finite element method and discussed in the flow distributions with the help of MATLAB. Numerical results for the velocity, temperature and concentration distributions as well as the skin-friction coefficient, Nusselt number and Sherwood number are discussed in detail and displayed graphically for various physical parameters. It… More >