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

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 >

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 >

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 >

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

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

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

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

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 >

Abazar Shamekhi¹, Abbas Aliabadi²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.11, No.3, pp. 67-72, 2009, DOI:10.3970/icces.2009.011.067

Abstract Non-Newtonian lid-driven cavity flow is studied in a wide range of Reynolds numbers. The algorithm of mesh free characteristic based split has been extended for solving non-Newtonian flow problems in meshfree context. It is assumed that the non-Newtonian fluid properties obey Carreau-Yasuda rheological model. The results obtained from mesh free characteristic based split algorithm have been compared to the results of other meshfree methods. Results have been obtained for the velocity profiles at Reynolds numbers as high as 1000 for a Carreau-Yasuda fluid. More >

B. Pekmen^1,2, M. Tezer-Sezgin^2,3

CMES-Computer Modeling in Engineering & Sciences, Vol.96, No.4, pp. 275-292, 2013, DOI:10.3970/cmes.2013.096.275

Abstract The dual reciprocity boundary element method (DRBEM) formulation is presented for solving incompressible magnetohydrodynamic (MHD) flow equations. The combination of Navier-Stokes equations of fluid dynamics and Maxwell’s equations of electromagnetics through Ohm’s law is considered in terms of stream function, vorticity and magnetic potential in 2D. The velocity field and the induced magnetic field can be determined through the relations with stream function and magnetic potential, respectively. The numerical results are visualized for several values of Reynolds (Re), Hartmann (Ha) and magnetic Reynolds number (Rem) in a lid-driven cavity, and in a channel with a… More >

A. Arefmanesh¹, M. Najafi², M. Nikfar³

CMES-Computer Modeling in Engineering & Sciences, Vol.69, No.2, pp. 91-118, 2010, DOI:10.3970/cmes.2010.069.091

Abstract Procuring a numerical solution through an application of the meshless local Petrov-Galerkin method (MLPG) on the fluid flow and mixed convection in a complex geometry cavity filled with a nanofluid is the scope of the present study. The cavity considered is a square enclosure having a lower temperature sliding lid at the top, a differentially higher temperature wavy wall at the bottom, and two thermally insulated walls on the sides. The nanofluid medium used is a water-based nanofluid, Al₂O₃-water with various volume fractions of its solid. To carry out the numerical simulations, the developed governing equations… More >