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 >

Fatima-zohra Bensouici^{1, *}, Saadoun Boudebous²

FDMP-Fluid Dynamics & Materials Processing, Vol.13, No.3, pp. 189-212, 2017, DOI:10.3970/fdmp.2017.013.189

Abstract A numerical work has been performed to analyze the laminar mixed convection of nanofluids confined in a lid driven square enclosure with a central square and isotherm heat source. All the walls are cooled at constant temperature, and the top wall slides rightward at constant velocity. The simulations considered four types of nanofluids (Cu, Ag, Al₂O₃ and TiO₂)-Water. The governing equations were solved using finite volume approach by the SIMPLER algorithm. Comparisons with previously published work are performed and found to be in good agreement. The influence of pertinent parameters such as Richardson number, size of the heat source, solid… More >

S. Slama¹, H. Kahalerras¹, B. Fersadou¹

FDMP-Fluid Dynamics & Materials Processing, Vol.13, No.3, pp. 155-172, 2017, DOI:10.3970/fdmp.2017.013.155

Abstract A numerical study is conducted to investigate the problem of mixed convection of a nanofluid in a vertical porous channel with one wall heated and the other cooled. The Darcy-Brinkman-Forchheimer model is used to describe the flow in the porous medium, considered as anisotropic in thermal conductivity, and the two-phase approach is adopted to simulate the motion of the nanofluid. The governing equations with the associated boundary conditions are solved by the finite volume method. The parametric study is focused on the variation of the Richardson number Ri, the heat fluxes ratio R_q, the Darcy number and the thermal conductivity… More >

M. Ihdene¹, T. Ben Malek², S. Aberkane³, M. Mouderes⁴, P. Spiterri⁵, A. Ghezal²

FDMP-Fluid Dynamics & Materials Processing, Vol.13, No.2, pp. 85-105, 2017, DOI:10.3970/fdmp.2017.013.085

Abstract We consider an ascending laminar air flow in a vertical channel formed by two parallel flat plates wetted by a thin water film and under different temperature and concentration conditions. The study includes a numerical finite volume method for the treatment of the double diffusion problem, where the analytical solution is given to the thermal diffusion. The analytical study showed that the reversed flow is observed only under some wall temperature conditions and also for certain values of Re/Gr. The reversed flow is also strongly dependent on the aspect ratio A₂, which is based on the cross section of the… More >

Meryem NAOUM¹, Mustapha EL ALAMI²

FDMP-Fluid Dynamics & Materials Processing, Vol.12, No.2, pp. 56-68, 2016, DOI:10.3970/fdmp.2016.012.056

Abstract A numerical study of mixed convection from a U-shaped channel is carried out. The flow is considered two dimensionnel. The inlet opening is adjusted in the right vertical part of the channel, while the outlet one is placed on the left vertical part. Navier–Stokes equations are solved using a control volume method and the SIMPLEC algorithm is considered for the treatment of pressure–velocity coupling. Special emphasis is given to detail the effect of the Reynolds and Rayleigh numbers on the heat transfer generated by mixed convection. The results are given for the parameters of control as, Rayleigh number (5.10³≤Ra≤10⁷), Prandtl… More >

P. A. Dinesh¹, N. Nalinakshi², D. V. Ch,rashekhar³

FDMP-Fluid Dynamics & Materials Processing, Vol.10, No.4, pp. 465-490, 2014, DOI:10.3970/fdmp.2014.010.465

Abstract Heat and Mass transfer from a vertical heated plate embedded in a sparsely packed porous medium with internal heat generation and variable fluid properties like permeability, porosity and thermal conductivity has been investigated numerically. In particular, the governing highly non-linear coupled partial differential equations are transformed into a system of ordinary differential equations with the help of similarity transformations and solved numerically by using a shooting algorithm based on a Runge-Kutta-Fehlberg scheme and a Newton Raphson method (to obtain velocity, temperature and concentration distributions). The heat and mass transfer characteristics are analyzed and related physical aspects are discussed in detail… More >

M’barka Mourabit¹, Hicham Rouijaa¹, El Alami Semma¹, Mustapha El Alami², Mostafa Najam²

FDMP-Fluid Dynamics & Materials Processing, Vol.10, No.3, pp. 395-415, 2014, DOI:10.3970/fdmp.2014.010.395

Abstract We study the effect of inclination angle on mixed convection in a "T" form cavity containing two openings and two heated blocks mounted on its lower wall. The blocks are maintained at a constant temperature T_H. The lower wall is adiabatic and submitted to a vertical air jet while the upper wall is kept cold at a constant temperature T_C < T_H. The vertical walls are rigid and adiabatic. The governing equations are solved by a finite volume method. Special attention is devoted to the solution symmetry, the flow structure and the heat exchange through the cavity. The considered control… More >

A. Abbassi^1,2, H. Ben Aissia¹

FDMP-Fluid Dynamics & Materials Processing, Vol.10, No.1, pp. 115-147, 2014, DOI:10.3970/fdmp.2014.010.115

Abstract This paper describes the transition from forced to mixed convection in a jet flow with variable properties. The classical laminar layer analysis is extended by taking into account the dependence of physical properties on temperature. The related model relies on the assumption that the variations of Prandtl number and specific heat at constant pressure are sufficiently small to be neglected. A second-order finite-difference numerical method based on a staggered grid is used to analyze transition, hydrodynamic and heat transfer phenomena in the jet. The dimensionless control parameter, Λ = T₀/T_∞, is limited to values less than 1. It is found… More >

Mohamed Ammar Abbassi^1,2, Kamel Halouani¹, Xavier Chesneau³, Belkacem Zeghmati³

FDMP-Fluid Dynamics & Materials Processing, Vol.7, No.1, pp. 71-96, 2011, DOI:10.3970/fdmp.2011.007.071

Abstract Mixed convection inside a square cavity with inlet and outlet ports is numerically simulated considering thermal radiation effect. The non dimensional transfer equations, based on Boussinesq assumption and the radiative heat transfer equation are solved by the finite-volume-method and the TDMA algorithm. Results, presented for a gray fluid and a wide range of dimensionless numbers; Reynolds (Re=10-1000), Richardson (Ri=0-0.01), Boltzmann (Bo=0.1-100), radiation to conduction parameter (Rc=0.1-100), and optical thickness (τ = 0.1-10) show that the radiation significantly affects temperature distribution. Streamlines are also sensitive to radiative parameters (as optical thickness) but less than temperature. More >

G. Accary¹, S. Meradji², D. Morvan², D. Fougère²

FDMP-Fluid Dynamics & Materials Processing, Vol.4, No.4, pp. 263-270, 2008, DOI:10.3970/fdmp.2008.004.263

Abstract In the literature, only few references have dealt with mixed-convection flows in the low Mach number approximation. For this reason, in the present study we propose to extend the standard 3D benchmark for mixed convection in a rectangular channel heated from below (Medale and Nicolas, 2005) to the case of large temperature variations (for which the Boussinesq approximation is no longer valid). The Navier-Stokes equations, obtained under the assumption of a low Mach number flow, are solved using a finite volume method. The results, corresponding to the steady-state case of the benchmark, lead to the idea of launching a call… More >