Ravi Shankar Prasad^a,*,†, Ujjwal Kumar Nayak^a, Rajen Kumar Nayak^a, Amit Kumar Gupta^b

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-7, 2022, DOI:10.5098/hmt.19.4

Abstract This paper presents the results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the inversely linearly heated vertical opposite side walls and the adiabatic top and bottom walls. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., Navier-Stokes Equation in the stream function - vorticity form and 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 radiosity-irradiation… More >

Farah Zemani-Kaci^*, Amina Sabeur-Bendhina

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.2, pp. 513-539, 2023, DOI:10.32604/fdmp.2022.021974

Abstract A two-dimensional numerical study of laminar natural convection in a square enclosure filled with air with a wall partially heated on the bottom is presented. The heat source is located on the lower wall with different heated widths varied from 20 to 80%(ε = 0.2–0.8) of the total width of the lower wall and different heights h = H/4 and H/2 of the partition. The effect of the partition height on the main system dynamics is investigated through solution of the two-dimensional Navier–Stokes equations and the energy equation by means of a finite volume method based on the SIMPLE algorithm.… More > Graphic Abstract

Khaled Said^*, Ahmed Ouadha, Amina Sabeur

FDMP-Fluid Dynamics & Materials Processing, Vol.18, No.6, pp. 1619-1629, 2022, DOI:10.32604/fdmp.2022.022220

Abstract The present study deals with double-diffusive convection within a two-dimensional inclined cavity filled with an air-CO₂ binary gas mixture. The left and the right vertical walls are differentially heated and subjected to different locations of (CO₂) contaminants to allow for the variation of the buoyancy strength (N). However, the horizontal walls are assumed adiabatic. The simulations are conducted using the finite volume method to solve the conservation equations of continuity, momentum, energy, and species transport. Good agreement with other numerical results in the literature is obtained. The effect of multiple parameters, namely, buoyancy ratio (N), thermal Rayleigh number (Ra), and… More >

Sheikh Hassan¹, Didarul Ahasan Redwan¹, Md. Mamun Molla^1,2,*, Sharaban Thohura³, M. Abu Taher⁴, Sadia Siddiqa⁵

Energy Engineering, Vol.118, No.6, pp. 1659-1679, 2021, DOI:10.32604/EE.2021.017657

Abstract A two-dimensional (2D) laminar flow of nanofluids confined within a square cavity having localized heat source at the bottom wall has been investigated. The governing Navier–Stokes and energy equations have been non dimensionalized using the appropriate non dimensional variables and then numerically solved using finite volume method. The flow was controlled by a range of parameters such as Rayleigh number, length of heat source and nanoparticle volume fraction. The numerical results are represented in terms of isotherms, streamlines, velocity and temperature distribution as well as the local and average rate of heat transfer. A comparative study has been conducted for… More >

Mostafa Zaydan¹, Mehdi Riahi^1,2,*, Fateh Mebarek-Oudina³, Rachid Sehaqui¹

FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.4, pp. 789-819, 2021, DOI:10.32604/fdmp.2021.015422

Abstract Steady, laminar mixed convection inside a lid-driven square cavity filled with nanofluid is investigated numerically. We consider the case where the right and left walls are moving downwards and upwards respectively and maintained at different temperatures while the other two horizontal ones are kept adiabatic and impermeable. The set of nonlinear coupled governing mass, momentum, and energy equations are solved using an extensively validated and a highly accurate finite difference method of fourth-order. Comparisons with previously conducted investigations on special configurations are performed and show an excellent agreement. Meanwhile, attention is focused on the heat transfer enhancement when different nano-particles:… More >

Latifa M. Al-Balushi, M. M. Rahman^*

FDMP-Fluid Dynamics & Materials Processing, Vol.16, No.3, pp. 441-463, 2020, DOI:10.32604/fdmp.2020.08551

Abstract In the present paper, the effect of the heat flux distribution on the natural convective flow inside a square cavity in the presence of a sloping magnetic field and magnetic nanoparticles is explored numerically. The nondimensional governing equations are solved in the framework of a finite element method implemented using the Galerkin approach. The role played by numerous model parameters in influencing the emerging thermal and concentration fields is examined; among them are: the location of the heat source and its lengthH*, the magnitude of the thermal Rayleigh number, the nanoparticles shape and volume fraction, and the Hartmann number. It… More >

Sacia Kachi^1,*, Fatima-zohra Bensouici¹, Nawel Ferroudj¹, Saadoun Boudebous²

FDMP-Fluid Dynamics & Materials Processing, Vol.15, No.2, pp. 89-105, 2019, DOI:10.32604/fdmp.2019.00263

Abstract The objective of the present study is to analyze the laminar mixed convection in a square cavity with moving cooled vertical sidewalls. A constant flux heat source with relative length l is placed in the center of the lower wall while all the other horizontal sides of the cavity are considered adiabatic. The numerical method is based on a finite difference technique where the spatial partial derivatives appearing in the governing equations are discretized using a high order scheme, and time advance is dealt with by a fourth order Runge Kutta method. The Richardson number (Ri), which represents the relative… More >

Nouri Sabrina^1,*, Abderrahmane Ghezal¹, Said Abboudi², Pierre Spiteri³

FDMP-Fluid Dynamics & Materials Processing, Vol.14, No.2, pp. 121-135, 2018, DOI: 10.3970/fdmp.2018.02045

Abstract This paper deals with the numerical study of heat and mass transfer occurring in a cavity filled with a low Prandtl number liquid. The model includes the momentum, energy and mass balance equations. These equations are discretized by a finite volume technique and solved in the framework of a custom SIMPLER method developed in FORTRAN. The effect of the problem characteristic parameters, namely the Lewis and Prandtl numbers, on the instability of the flow and related solute distribution is studied for positive and negative thermal and solutal buoyancy forces ratio. Nusselt and Sherwood numbers are derived for values of the… More >

Ilhem Zeghbid¹, Rachid Bessaïh¹

FDMP-Fluid Dynamics & Materials Processing, Vol.13, No.4, pp. 251-273, 2017, DOI:10.3970/fdmp.2017.013.251

Abstract This paper presents a numerical study of two-dimensional laminar mixed convection in a lid-driven square cavity filled with a nanofluid and heated simultaneously at a constant heat flux q” by two heat sources placed on the two vertical walls. The movable wall and the bottom wall of the cavity are maintained at a local cold temperature T_C, respectively. The finite volume method was used to solve the equations of flow with heat transfer across the physical domain. Comparisons with previous results were performed and found to be in excellent agreement. Results were presented in terms of streamlines, isotherms, vertical velocity… More >

ADNANI Massinissa¹, MEZIANI Bachir², OURRAD Ouerdia², ZITOUNE Mounir¹

FDMP-Fluid Dynamics & Materials Processing, Vol.12, No.1, pp. 1-14, 2016, DOI:10.3970/fdmp.2016.012.001

Abstract A numerical study of natural convection in a square cavity subjected to the thermals boundary conditions on the sidewalls is presented and discussed. The fluid is Newtonian and equations governing the flow field and the heat transfer are given in dimensionless form. The finite volume method was adopted to solve the algebraic system. Influence of the Prandtl and the Rayleigh numbers on heat transfer and the flow field is illustrated and discussed as the stream functions, isotherms, horizontal velocity, local and average Nusselt numbers. Results indicate that improved heat transfer is more pronounced with increasing Rayleigh number. In particular, at… More >