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

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 More >

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

Frontiers in Heat and Mass Transfer, Vol.17, 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 More >

Muhammad Shuaib¹, Muhammad Bilal¹, Muhammad Altaf Khan^{2, *}, Sharaf J. Malebary³

CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.1, pp. 377-400, 2020, DOI:10.32604/cmes.2020.08076

Abstract An unsteady viscous fluid flow with Dufour and Soret effect, which results in heat and mass transfer due to upward and downward motion of flexible rotating disk, has been studied. The upward or downward motion of non rotating disk results in two dimensional flow, while the vertical action and rotation of the disk results in three dimensional flow. By using an appropriate transformation the governing equations are transformed into the system of ordinary differential equations. The system of ordinary differential equations is further converted into first order differential equation by selecting suitable variables. Then, we More >

S.P. Samrat, C. Sulochana^* , G.P. Ashwinkumar

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.31

Abstract This study reports the flow, thermal and concentration attributes of magnetic-nanofluids past an elongated plate with thermal radiation and chemical reaction. The flow considered is two-dimensional and time-dependent. The pressure gradient and ohmic heating terms are neglected in this analysis. The flow governing PDEs are transformed into ODEs using appropriate conversions. Further, the set of ODEs are solved analytically using perturbation technique. The flow quantities such as velocity, thermal and concentration fields are discussed under the influence of various pertinent parameters namely volume fraction of nanoparticle, magnetic field, stretching parameter, Soret number, radiation and chemical More >

Gang Qiu^a , Mo Yang^a,*, Jin Wang^b , Yuwen Zhang^c

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-8, 2018, DOI:10.5098/hmt.10.24

Abstract An unsteady numerical model for double-diffusive natural convection of low Prandtl number liquids with Soret and Dufour effects inside the horizontal cavity is developed. The thermosolutal model is solved numerically using the SIMPLE algorithm with QUICK scheme. The flow field, temperature and concentration distributions for different buoyancy ratios, Rayleigh numbers and aspect ratios under different Prandtl numbers are studied systematically. The results reveal that the flow structure develops from conduction-dominated to convection as buoyancy ratio increases under different Prandtl numbers. Heat transfer intensity keeps constant and mass transfer intensity grows slowly before a critical point More >

C. G. Mohan, A. Satheesh^*

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-13, 2017, DOI:10.5098/hmt.8.36

Abstract In this study, a two-dimensional steady state double-diffusive mixed convective flow in a square cavity with Soret effect is presented. The numerical investigation is considered with two different conditions, (a) top and bottom walls move with same velocity (Uo) towards right and (b) top wall moves towards right and bottom wall moves towards left with the same velocity (Uo). The left and right walls remain stationary. The top and bottom walls are adiabatic; the left wall is maintained at high temperature and concentration. The right wall is maintained at low temperature and concentration. Governing equations More >

K. Kaladhar^a,∗, D. Srinivasacharya^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.6

Abstract This present investigation carried out the effects of Hall current, Joule heating and the thermal diffusion on mixed convection flow of electrically conducting couple stress fluid in a vertical channel saturated with porous medium. The final system of ordinary differential equations are obtained from the governing non-linear partial differential equations by using the similarity transformations. Homotopy Analysis Method has been used to solve the non-linear system. The average residue errors of the HAM solutions are presented through graphs. The influence of the emerging parameters (Hall, Soret, magnetic and the couple stress parameters) on velocity, temperature More >

P. Chandra Reddy¹, M.C. Raju^1,*, G.S.S. Raju², S.V.K. Varma³

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-11, 2016, DOI:10.5098/hmt.7.28

Abstract The present analysis is focused on free convective heat and mass transfer characteristics of magneto-nanofluid flow through a moving vertical plate in the presence of thermal radiation and thermal diffusion. The water-based nanofluid containing copper is taken into consideration. A uniform magnetic field is applied perpendicular to the plate. The governing equations are solved by applying finite difference method. Numerical results of the fluid velocity, temperature, concentration, shear stress, rate of heat transfer and rate of mass transfer are presented graphically for different values of the physical parameters encountered in the problem. It is noticed More >

B. Rushi Kumar^* , T. Sravan Kumar, A .G Vijaya Kumar

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-9, 2015, DOI:10.5098/hmt.6.12

Abstract The objective of this study is to investigated thermal diffusion and radiation effects on unsteady free convection chemically reacting fluid flow past an accelerated infinite inclined plate with variable temperature and mass diffusion under the influence of uniform transverse magnetic field when the magnetic lines of force are fixed relative to the fluid or to the plate studied in two cases, (i) when magnetic field fixed relative to the fluid (K=0), (ii) and the magnetic field fixed relative to the plate (K=1) have been considered. A general exact solution of the dimensionless governing partial differential equation More >

A. Rtibi¹, M. Hasnaoui¹, A. Amahmid¹

FDMP-Fluid Dynamics & Materials Processing, Vol.9, No.2, pp. 183-207, 2013, DOI:10.3970/fdmp.2013.009.183

Abstract In this paper we present an analytical and numerical study of Soret convection in an inclined rectangular porous layer saturated with a binary fluid and subject to uniform heat fluxes. In the problem formulation, the Darcy model is considered and the results are presented for wide ranges of R_T (50 ≤ R_T ≤ 1000), θ(0°≤θ≤180°) and φ(-1 ≤ φ ≤ 1) for Le = 10, where R_T, θ, φ, and Le are the thermal Darcy-Rayleigh number, the cavity inclination, the separation parameter, and the Lewis number, respectively. An analytical solution, derived on the basis of the parallel flow approximation,… More >