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 thermal plots concerning parameters are… More >

Noureddine Abouricha^1,*, Chouaib Ennawaoui^1,2, Mustapha El Alami³

Frontiers in Heat and Mass Transfer, Vol.21, pp. 523-537, 2023, DOI:10.32604/fhmt.2023.045914

Abstract This work presents a simulation of the phenomena of natural convection in an enclosure with a variable heating regime by the lattice Boltzmann method (LBM). We consider a square enclosure of side H filled with air (Pr = 0.71) and heated from below, with a hot portion of length L = 0.8 H, by imposing a sinusoidal temperature. The unheated segments of the bottom wall are treated as adiabatic, and one of the vertical walls features a cold region, while the remaining walls remain adiabatic. The outcomes of the two-dimensional (2D) problem are depicted through isotherms, streamlines, the temperature evolution… 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 are solved by finite volume… More >

K. Venkatadri^a,*, S. Gouse Mohiddin^a , M. Suryanarayana Reddy^b

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-9, 2017, DOI:10.5098/hmt.9.33

Abstract Two-dimensional unsteady laminar double-diffusive free convective flow of a conducting fluid in a thermally insulated square enclosure except the left wall has been numerically studied in presence of heat generation/absorption. The Marker and Cell (MAC) method is employed for solving nonlinear momentum, energy and concentration equations and the numerical MATLAB code is validated with the previous study. The computed results are depicted graphically and discussed for various values of Rayleigh number (Ra), Hartmann number (Ha), Buoyancy ratio parameter (N), Lewis number (Le) and heat absorption/generation parameter (γ). It is observed that the rate of heat and mass transfer decreases with… More >

N. Ameer Ahammad^a,*, Sarfaraz Kamangar^b

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.24

Abstract The current work discusses the heat and mass transfer due to a solid wall dividing the porous medium into two distinct sections. The left vertical surface of cavity is maintained at constant temperature T_h and concentration C_h whereas right vertical surface is kept at isothermal temperature T_c and iso-concentration C_c such that T_h>T_c and C_h>C_c. Finite element method is used to solve the governing partial differential equations. The results discussed with respect to thermal conductivity ratio, solid width, buoyancy ratio, Lewis number etc. More >

Zoubair Boulahia^* , Abderrahim Wakif, Rachid Sehaqui

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-10, 2018, DOI:10.5098/hmt.11.11

Abstract A numerical study has been performed to investigate mixed convection flow in a vented square cavity with circular cooling obstacle. The governing equations such as two dimensional Navier-Stokes, continuity, and energy balance equations have been solved using a finite volume discretization method with SIMPLE algorithm. The effect of the Richardson number, outlet port location and volume fraction of nanoparticles were studied. The outlet port is varied from top to bottom in order to find the maximum heat transfer rate. The results indicated that by increasing the volume fraction of nanoparticles and reducing Richardson number, the heat transfer rate is enhanced.… More >

O. M. Oyewola^a,b,*, S. I. Afolabi^b, O. S. Ismail^b, M.O. Olasinde^b

Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-7, 2022, DOI:10.5098/hmt.18.31

Abstract Finite element method is adopted in analyzing a two dimensional partial differential equations of Navier Stokes that governs mass, momentum and energy for a convective heat transfer problem within a square cavity. The cavity walls kept at constant cold temperature except for the right wall being adiabatic. With an embedded circular heated block located in the cavity, simulations are performed to determine the effect of the position of the block at the top, middle and bottom of the cavity on natural convection. The experiments are carried out for different values of Rayleigh number varying from 10³ – 10⁶ by using… More >

Olanrewaju M. Oyewola^a,b,*, Samuel I. Afolabi^b

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-6, 2022, DOI:10.5098/hmt.19.38

Abstract Numerical analysis of heat transfer by convection in a square with a rectangular shape heated block located at the top, center and bottommost has been numerically investigated by applying the principal partial differential equations governing mass, momentum and energy using discontinuous Galerkin weighted procedure for residual finite element with the view of examining the significance of position of rectangular shaped heated block encapsulated within the square cavity. The right wall being adiabatic while the other three walls are maintained at low constant temperature. The heated block is maintained constantly hot. The developed code of COMSOL Multiphysics is employed to perform… More >

Olanrewaju M. Oyewola^a,b,*, Samuel I. Afolabi^b

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-8, 2022, DOI:10.5098/hmt.19.20

Abstract This paper investigates numerically the problem of convective heat transfer and entropy generation by two adiabatic obstacles positioned inside a square cavity heated at the left wall and cooled on the right wall while horizontal walls are adiabatic. The inclination angle of the cavity orientation investigated are 30, 60 and 90 degrees. Rayleigh numbers ranging from 103 to 106 were calculated for two vertical obstacles. The method of Galerkin finite element was employed to solve the conservation equations of mass, momentum and energy. The cavity is assumed to be filled with air with Prandtl number of 0.71. It was observed… More >

Ravi Shankar Prasad^a,*, S.N. Singh^b, Amit Kumar Gupta^c

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-11, 2022, DOI:10.5098/hmt.19.16

Abstract The results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the uniformly heated bottom wall, linearly heated vertical side wall(s) and the adiabatic top wall is discussed. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., the Navier-Stokes Equation in the stream function – vorticity form and the Energy Equation are solved for a constant property fluid under the Boussinesq approximation. For discretization of these equations, the finite volume technique is used. For the radiation calculations, the… More >