Kadhum Audaa Jehhef¹, Ali J. Ali², Salah H. Abid Aun¹, Akram H. Abed^3,*

Frontiers in Heat and Mass Transfer, Vol.22, No.2, pp. 557-581, 2024, DOI:10.32604/fhmt.2024.047814 - 20 May 2024

Abstract The cavity with lid-driven is greatly used in mixing, coating, and drying applications and is a substantial issue in the study of thermal performance rate and fluid field. A numerical approach is presented to study the thermal distribution and passage of fluid in a lid-driven cavity with an upper oscillating surface and an attached baffle. The walls of a cavity at the left and right were maintained at 350 and 293 K, respectively. The upper oscillating surface was equipped with a variable height to baffle to increase the convection of the three kinds of TiO,… More >

T. Vu-Huu¹, C. Le-Thanh², H. Nguyen-Xuan^3,4, M. Abdel-Wahab^3,5,*

CMC-Computers, Materials & Continua, Vol.70, No.3, pp. 4217-4239, 2022, DOI:10.32604/cmc.2022.020889 - 11 October 2021

Abstract This paper investigates a polygonal finite element (PFE) to solve a two-dimensional (2D) incompressible steady fluid problem in a cavity square. It is a well-known standard benchmark (i.e., lid-driven cavity flow)-to evaluate the numerical methods in solving fluid problems controlled by the Navier–Stokes (N–S) equation system. The approximation solutions provided in this research are based on our developed equal-order mixed PFE, called Pe₁Pe₁. It is an exciting development based on constructing the mixed scheme method of two equal-order discretisation spaces for both fluid pressure and velocity fields of flows and our proposed stabilisation technique. In this 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 - 17 May 2021

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… More >

H. F. Wong^1,2, Muhammad Sohail³, Z. Siri¹, N. F. M. Noor^1,*

CMC-Computers, Materials & Continua, Vol.68, No.1, pp. 319-336, 2021, DOI:10.32604/cmc.2021.015710 - 22 March 2021

Abstract The mechanism of viscous heating of a Newtonian fluid filled inside a cavity under the effect of an external applied force on the top lid is evaluated numerically in this exploration. The investigation is carried out by assuming a two-dimensional laminar in-compressible fluid flow subject to Neumann boundary conditions throughout the numerical iterations in a transient analysis. All the walls of the square cavity are perfectly insulated and the top moving lid produces a constant finite heat flux even though the fluid flow attains the steady-state condition. The objective is to examine the effects of… More >

Khadija A. Al-Hassani¹, M. S. Alam², M. M. Rahman^1,*

FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.1, pp. 1-20, 2021, DOI:10.32604/fdmp.2021.013497 - 09 February 2021

Abstract Nanofluids have enjoyed a widespread use in many technological applications due to their peculiar properties. Numerical simulations are presented about the unsteady behavior of mixed convection of Fe₃O₄-water, Fe₃O₄- kerosene, Fe₃O₄-ethylene glycol, and Fe₃O₄-engine oil nanofluids inside a lid-driven triangular cavity. In particular, a two-component non-homogeneous nanofluid model is used. The bottom wall of the enclosure is insulated, whereas the inclined wall is kept a constant (cold) temperature and various temperature laws are assumed for the vertical wall, namely: θ = 1(Case 1), θ = Y(1 – Y)(Case 2), and θ = sin(2πY)(Case 3). A tilted magnetic field of More >

Toufik Benmalek¹, Ferhat Souidi¹, Mourad Moderres^2,*, Bilal Yassad¹, Said Abboudi³

FDMP-Fluid Dynamics & Materials Processing, Vol.15, No.2, pp. 107-123, 2019, DOI:10.32604/fdmp.2019.04496

Abstract This study aims to analyze mixed convection in a square cavity with two moving vertical walls by finite volume method. The cavity filled with Non-Newtonian fluid of Bingham model is heated from below and cooled by the other walls. This study has been conducted for certain parameters of Reynolds number (Re=1-100), Richardson number (Ri=1-20), Prandtl number (Pr=1-500), and Bingham number has been studied from 0 to 10. The results indicate that the increase in yield stress drops the heat transfer and the flow become flatter, while increasing Reynolds number augments it. The convective transport is More >

Fakher Oueslati^a,b,†, Brahim Ben-Beya^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-11, 2017, DOI:10.5098/hmt.8.38

Abstract The current study deals with a numerical investigation of magnetoconvection and entropy generation within a lid driven square cavity subject to uniform magnetic field and filled with liquid metal. Effects of multiple parameters namely; the Prandtl, Hartmann and Richardson numbers were predicted and analyzed using a numerical methodology based on the finite volume method and a full multigrid technique. The numerical outcome of the present study shows that, the enhancement of Hartmann number declines the heat transfer rate for all liquid metals considered. Moreover, it is observed that augmenting the Richardson number leads to acceleration 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… 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… More >

Lioua Kolsi^a,b,*

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.26

Abstract In this study, the effects of Richardson and Hartmann numbers on heat and mass transfer in a three-dimensional lid-driven cubical cavity subjected to a uniform magnetic field are investigated numerically. The lid is maintained at constant high temperature and is moving downwards in the negative y-direction. The wall opposite to the lid is stationary and maintained at constant low temperature, and all other walls are kept adiabatic. Entropy generation is also calculated to investigate the nature of irreversibility in heat transfer inside the cavity. The computations are performed for the Richardson numbers 10 and 100, More >