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1

Bakar, N. A., R. Roslan, A. Karimipour, and I. Hashim. "Mixed Convection in Lid-Driven Cavity with Inclined Magnetic Field." Sains Malaysiana 48, no. 2 (2019): 451–71. http://dx.doi.org/10.17576/jsm-2019-4802-24.

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2

Mohapatra, Ramesh Chandra. "Study on Laminar Two-Dimensional Lid-Driven Cavity Flow with Inclined Side Wall." OALib 03, no. 03 (2016): 1–8. http://dx.doi.org/10.4236/oalib.1102430.

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3

Uddin, Mohammed Nasir, Aki Farhana, and Md Abdul Alim. "Numerical study of magneto-hydrodynamic (MHD) mixed convection flow in a lid-driven triangular cavity." Journal of Naval Architecture and Marine Engineering 12, no. 1 (2015): 21–32. http://dx.doi.org/10.3329/jname.v12i1.12910.

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In the present paper, the effect of magneto-hydrodynamic (MHD) on mixed convection flow within a lid-driven triangular cavity has been numerically investigated. The bottom wall of the cavity is considered as heated. Besides, the left and the inclined wall of the triangular cavity are assumed to be cool and adiabatic. The cooled wall of the cavity is moving up in the vertical direction. The developed mathematical model is governed by the coupled equations of continuity, momentum and energy to determine the fluid flow and heat transfer characteristics in the cavity as a function of Rayleigh number, Hartmann number and the cavity aspect ratio. The present numerical procedure adopted in this investigation yields consistent performance over a wide range of parameters Rayleigh number Ra (103-104), Prandtl number Pr (0.7 - 3) and Hartmann number Ha (5 - 50). The numerical results are presented in terms of stream functions, temperature profile and Nussult numbers. It is found that the streamlines, isotherms, average Nusselt number, average fluid bulk temperature and dimensionless temperature in the cavity strongly depend on the Rayleigh number, Hartmann number and Prandtl number.
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4

Sivasankaran, S., V. Sivakumar, and Ahmed Kadhim Hussein. "Numerical study on mixed convection in an inclined lid-driven cavity with discrete heating." International Communications in Heat and Mass Transfer 46 (August 2013): 112–25. http://dx.doi.org/10.1016/j.icheatmasstransfer.2013.05.022.

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5

Mekroussi, Said, Driss Nehari, Mohamed Bouzit, and Nord-Eddine Sad Chemloul. "Analysis of mixed convection in an inclined lid-driven cavity with a wavy wall." Journal of Mechanical Science and Technology 27, no. 7 (2013): 2181–90. http://dx.doi.org/10.1007/s12206-013-0533-9.

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6

Sivakumar, V., and S. Sivasankaran. "Mixed convection in an inclined lid-driven cavity with non-uniform heating on both sidewalls." Journal of Applied Mechanics and Technical Physics 55, no. 4 (2014): 634–49. http://dx.doi.org/10.1134/s0021894414040105.

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7

Bahoum, Abderrahim, Hattab El, and Hammami El. "Numerical investigation of mixed magneto-hydrodynamic convection in a lid-driven cubic cavity with a hybrid nanofluid." Thermal Science, no. 00 (2025): 6. https://doi.org/10.2298/tsci240722006b.

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This study presents a numerical investigation on the mixed magneto-hydrodynamic (MHD) convection of a hybrid Cu-Al2O3-water nanofluid within a driven-wall cubic cavity. An isothermal block at temperature Th is positioned on the left wall of the cavity, while the right wall is maintained at a temperature Tc (<Th). An inclined magnetic field is applied to the entire system. The finite volume method, combined with the SIMPLE algorithm for velocity-pressure coupling, was adopted to solve the governing equations. Parameters such as Reynolds number (Re) (50:200), Richardson number (Ri) (0.01:100), Hartmann number (Ha) (0:100), magnetic field tilt angle (?) (0?:90?), and nanoparticle volume fraction (?) (0:0.06) were examined. Observations are illustrated through streamlines, isotherms, velocity profiles, and average Nusselt number. The results show that increasing the Reynolds number (Re), Richardson number (Ri) and nanoparticle volume fraction (?) improves heat transfer within the cavity. Conversely, an increase in the Hartmann number (Ha) has an unfavorable effect on heat transfer.
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8

Mansour, M. A., A. Mahdy, and S. E. Ahmed. "An inclined MHD mixed radiative-convection flow of a micropolar hybrid nanofluid within a lid-driven inclined odd-shaped cavity." Physica Scripta 96, no. 2 (2020): 025705. http://dx.doi.org/10.1088/1402-4896/abd1b0.

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9

Nath, Ratnadeep, and Krishnan Murugesan. "Impact of nanoparticle shape on thermo-solutal buoyancy induced lid-driven-cavity with inclined magnetic-field." Propulsion and Power Research 11, no. 1 (2022): 97–117. http://dx.doi.org/10.1016/j.jppr.2022.01.002.

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10

D'Orazio, A., A. Karimipour, A. H. Nezhad, and E. Shirani. "Mixed convection in inclined lid driven cavity by Lattice Boltzmann Method and heat flux boundary condition." Journal of Physics: Conference Series 547 (November 19, 2014): 012031. http://dx.doi.org/10.1088/1742-6596/547/1/012031.

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11

Fereidoon, A., S. Saedodin, M. Hemmat Esfe, and M. J. Noroozi. "Evaluation of Mixed Convection in Inclined Square Lid-Driven Cavity Filled with AL2O3/Water Nano-Fluid." Engineering Applications of Computational Fluid Mechanics 7, no. 1 (2013): 55–65. http://dx.doi.org/10.1080/19942060.2013.11015453.

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12

Lakahal, Youcef, and Houssem Laidoudi. "FLOW AND HEAT TRANSFER OF NON-NEWTONIAN FLUIDS IN CONFINED TRIANGULAR GEOMETRIES: A COMPUTATIONAL APPROACH." Journal of the Serbian Society for Computational Mechanics 18, no. 2 (2024): 110–27. https://doi.org/10.24874/jsscm.2024.18.02.07.

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This study examines mixed convection heat transfer in a lid-driven triangular cavity containing three heated horizontal finned cylinders immersed in power-law fluids. The cavity features inclined sidewalls maintained at a cold temperature, while the top adiabatic lid moves at a uniform velocity. The objective is to analyze the fluid’s behavior and its influence on flow structure, heat transfer, and drag coefficients under varying conditions, including lid speed, thermal buoyancy intensity, and fluid viscosity characterized by the power-law index. The study employs numerical simulations based on the finite volume method to solve the governing equations, with the fluid’s rheological behavior modeled using Ostwald’s law. Results show that the heat transfer rate increases with Re, Ri, and n, with the bottom cylinder (C3) exhibiting the highest rate due to strong buoyancy and focused recirculation zones. The drag coefficient (CD) decreases with Re but varies significantly with n, leading to higher drag forces for shear-thinning fluids. These findings provide new insights into optimizing heat transfer and drag in non-Newtonian fluid systems.
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13

Younis, Obai, Sameh E. Ahmed, Aissa Abderrahmane, Abdulaziz Alenazi, and Ahmed M. Hassan. "Hydrothermal Mixed Convection in a Split-Lid-Driven Triangular Cavity Suspended by NEPCM." Mathematics 11, no. 6 (2023): 1323. http://dx.doi.org/10.3390/math11061323.

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A numerical investigation of the magnetohydrodynamics of a mixed convection of nano-enhanced phase change material (NEPCM) within a triangular chamber containing an elliptical heat source is presented in this article. The forced convection has resulted from the movement of the upper cavity, while the free convection is due to the temperature difference between the heat source and cold inclined sidewalls. Four cases are considered based on the directions of the moving of the upper wall parts, namely, Case 1, where the left part is moving in the positive direction of the X-axis and the right part moves in the opposite direction (1(+−)), Case 2, where the two parts move in the positive direction of the X-axis (2(++)), Case 3, where the two parts move in the negative direction of the X-axis (3(− −)), and Case 4, where the left part moves in the negative direction of the X-axis and the right part moves in the negative direction (4(−+)). The Galerkin finite element method (GFEM) is employed for addressing the governing equations of the system under study. The impacts of the Reynolds number (1≤Re≤100), the inclination angle of the elliptic heat source (0≤γ≤90), the nanoparticles volume fraction ϕ (0%≤ϕ≤8%) and the movement directions of the parts of the upper wall (four cases) are presented and discussed. The results suggested that increasing Re enhanced the heat transfer rate, while increasing Ha reduced it. The vertical positions of the elliptical heat source resulted in the maximum heat transmission rate. At the highest Re, changing the location of the heat source from horizontal (γ=0) to vertical (γ=90) enhanced the average Nusselt number by 60%, while choosing Case 1 for upper wall movement increased the average Nusselt number by 300% compared to Cases 2 and 3.
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14

Zahan, Ishrat, R. Nasrin, and M. A. Alim. "Mixed convective hybrid nanofluid flow in lid-driven undulated cavity: effect of MHD and Joule heating." Journal of Naval Architecture and Marine Engineering 16, no. 2 (2019): 109–26. http://dx.doi.org/10.3329/jname.v16i2.40585.

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A numerical analysis has been conducted to show the effects of magnetohydrodynamic (MHD) and Joule heating on heat transfer phenomenon in a lid driven triangular cavity. The heat transfer fluid (HTF) has been considered as water based hybrid nanofluid composed of equal quantities of Cu and TiO2 nanoparticles. The bottom wall of the cavity is undulated in sinusoidal pattern and cooled isothermally. The left vertical wall of the cavity is heated while the inclined side is insulated. The two dimensional governing partial differential equations of heat transfer and fluid flow with appropriate boundary conditions have been solved by using Galerkin's finite element method built in COMSOL Multyphysics. The effects of Hartmann number, Joule heating, number of undulation and Richardson number on the flow structure and heat transfer characteristics have been studied in details. The values of Prandtl number and solid volume fraction of hybrid nanoparticles have been considered as fixed. Also, the code validation has been shown. The numerical results have been presented in terms of streamlines, isotherms and average Nusselt number of the hybrid nanofluid for different values of governing parameters. The comparison of heat transfer rate by using hybrid nanofluid, Cu-water nanofluid, TiO2 -water nanofluid and clear water has been also shown. Increasing wave number from 0 to 3 enhances the heat transfer rate by 16.89%. The enhanced rate of mean Nusselt number for hybrid nanofluid is found as 4.11% compared to base fluid.
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15

Aly, Abdelraheem M., Ali J. Chamkha, Sang-Wook Lee, and Ali Al-Mudhaf. "ON MIXED CONVECTION IN AN INCLINED LID-DRIVEN CAVITY WITH SINUSOIDAL HEATED WALLS USING THE ISPH METHOD." Computational Thermal Sciences: An International Journal 8, no. 4 (2016): 337–54. http://dx.doi.org/10.1615/computthermalscien.2016016527.

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16

D’Orazio, Annunziata, Arash Karimipour, Alireza Hossein Nezhad, and Ebrahim Shirani. "Lattice Boltzmann method with heat flux boundary condition applied to mixed convection in inclined lid driven cavity." Meccanica 50, no. 4 (2014): 945–62. http://dx.doi.org/10.1007/s11012-014-0052-5.

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17

Mansour, M. A., S. Sivasankaran, A. M. Rashad, T. Salah, and Hossam A. Nabwey. "Impact of Partial Slip and Heat Source on MHD Mixed Convection Flow of Nanofluid in a Double Lid-Driven Cavity Containing Insulated Obstacle." Journal of Nanofluids 9, no. 3 (2020): 230–41. http://dx.doi.org/10.1166/jon.2020.1748.

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The current investigation analyzes the effects of partial slip and heat generation on the mixed convection flow with heat transfer in an inclined double lid-driven square cavity containing centered square adiabatic obstacle in the presence of magnetic field. The used cavity is subjected to constant heat flux and filled with Cu-water nanofluid. The top and bottom horizontal walls are thermally insulated and move with uniform velocity while the right vertical wall is maintained at a constant low temperature. A uniform heat flux is located in a part of th left wall of the cavity while the remaining part of this wall is thermally insulated. Finite volume technique is utilized to solve dimensionless governing equations of the problem. The proposed method is validated with the previous published numerical studies which distinctly offer a good agreement. The obtained results show that changing in the heat source length affects much the flow and thermal fields than the position of heat source. The averag Nusselt number decreases when the aspect ratio of the obstacle and heat source length increases. The heat transfer rate behaves nonlinearly with inclination of the cavity.
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18

Li, Dingfang, Xiaofeng Wang, and Hui Feng. "Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid." Advances in Applied Mathematics and Mechanics 5, no. 1 (2013): 55–77. http://dx.doi.org/10.4208/aamm.10-m1072.

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AbstractA fully higher-order compact (HOC) finite difference scheme on the 9-point two-dimensional (2D) stencil is formulated for solving the steady-state laminar mixed convection flow in a lid-driven inclined square enclosure filled with water-Al2O3 nanofluid. Two cases are considered depending on the direction of temperature gradient imposed (Case I, top and bottom; Case II, left and right). The developed equations are given in terms of the stream function-vorticity formulation and are non-dimensionalized and then solved numerically by a fourth-order accurate compact finite difference method. Unlike other compact solution procedure in literature for this physical configuration, the present method is fully compact and fully higher-order accurate. The fluid flow, heat transfer and heat transport characteristics were illustrated by streamlines, isotherms and averaged Nusselt number. Comparisons with previously published work are performed and found to be in excellent agreement. A parametric study is conducted and a set of graphical results is presented and discussed to elucidate that significant heat transfer enhancement can be obtained due to the presence of nanoparticles and that this is accentuated by inclination of the enclosure at moderate and large Richardson numbers.
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19

Triveni, Manoj Kr, and Rajsekhar Panua. "Study of mixed convection in a caterpillar wavy lid-driven triangular cavity filled with nanofluid using artificial neural network." Canadian Journal of Physics 96, no. 5 (2018): 476–93. http://dx.doi.org/10.1139/cjp-2017-0282.

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The present numerical study is carried out for mixed convection in a nanofluid-filled lid-driven triangular cavity. The base wall of the cavity is in a caterpillar shape, which is assumed as a hot wall while the side and inclined walls are considered as cold walls. The finite volume method along with the SIMPLE algorithm is used to discretize the governing equations. The study is evaluated for constrained parameters, such as volume fraction of the nanoparticles, sliding direction of the side wall, Richardson number, and Grashof number. Fluid flow and heat transfer are presented in terms of streamlines and isotherms and rate of enhancement has been shown by local and average Nusselt number. It is observed from the study that the heat transfer rate is enhanced for each volume fraction of nanoparticles, for both directions of sliding wall, Richardson number, and Grashof number. The obtained numerical results are validated with the predicted results of artificial neural network (ANN). Good agreement is reported between the numerical results and the predicted results.
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20

Wang, An-Yang, and Hang Xu. "Highly accurate wavelet-homotopy solutions for mixed convection hybrid nanofluid flow in an inclined square lid-driven cavity." Computers & Mathematics with Applications 108 (February 2022): 88–108. http://dx.doi.org/10.1016/j.camwa.2022.01.004.

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21

Karimipour, Arash, Mohammad Hemmat Esfe, Mohammad Reza Safaei, Davood Toghraie Semiromi, Saeed Jafari, and S. N. Kazi. "Mixed convection of copper–water nanofluid in a shallow inclined lid driven cavity using the lattice Boltzmann method." Physica A: Statistical Mechanics and its Applications 402 (May 2014): 150–68. http://dx.doi.org/10.1016/j.physa.2014.01.057.

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22

Sivasankaran, S., H. T. Cheong, M. Bhuvaneswari, and P. Ganesan. "Effect of moving wall direction on mixed convection in an inclined lid-driven square cavity with sinusoidal heating." Numerical Heat Transfer, Part A: Applications 69, no. 6 (2016): 630–42. http://dx.doi.org/10.1080/10407782.2015.1069669.

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23

Hussain, Shafqat, and Hakan F. Öztop. "Impact of inclined magnetic field and power law fluid on double diffusive mixed convection in lid-driven curvilinear cavity." International Communications in Heat and Mass Transfer 127 (October 2021): 105549. http://dx.doi.org/10.1016/j.icheatmasstransfer.2021.105549.

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24

Karbasifar, Bijan, Mohammad Akbari, and Davood Toghraie. "Mixed convection of Water-Aluminum oxide nanofluid in an inclined lid-driven cavity containing a hot elliptical centric cylinder." International Journal of Heat and Mass Transfer 116 (January 2018): 1237–49. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.09.110.

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25

Mansour, M. A., A. M. Rashad, Rama Subba Reddy Gorla, and Sadia Siddiqa. "Inclined Magneto-Hydrodynamic Mixed Convection in Lid-Driven Cavity Filled Within Nanofluids with Partial Slip and Internal Heat Generation." Journal of Nanofluids 5, no. 4 (2016): 634–51. http://dx.doi.org/10.1166/jon.2016.1246.

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26

Bunkholt, Nora Schjøth, Toivo Säwén, Martina Stockhaus, et al. "Experimental Study of Thermal Buoyancy in the Cavity of Ventilated Roofs." Buildings 10, no. 1 (2020): 8. http://dx.doi.org/10.3390/buildings10010008.

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Pitched wooden roofs are ventilated through an air cavity beneath the roofing in order to remove heat and moisture from the roof construction. The ventilation is driven by wind pressure and thermal buoyancy. This paper studies ventilation driven by thermal buoyancy in the air cavity of inclined roofs. The influence of air cavity design and roof inclination on the airflow is investigated. Laboratory measurements were carried out on an inclined full-scale roof model with an air cavity heated on one side in order to simulate solar radiation on a roof surface. Equipment to measure temperature was installed in the roof model, while air velocity in the cavity was determined by smoke tests. Combinations of different roof inclinations, air cavity heights and applied heating power on the air cavity top surface were examined. The study showed that increased air cavity height led to increased airflow and decreased surface temperatures in the air cavity. Increased roof inclination and heating power applied to the roofing also increased the airflow. The investigations imply that thermal buoyancy in the air cavity of pitched roofs could be a relevant driving force for cavity ventilation and important to consider when evaluating the heat and moisture performance of such a construction.
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27

Hussein, Ahmed Kadhim, SamehE Ahmed, H. A. Mohammed, and Waqar Ahmed Khan. "Mixed Convection of Water-Based Nanofluids in a Rectangular Inclined Lid-Driven Cavity Partially Heated from Its Left Side Wall." Journal of Computational and Theoretical Nanoscience 10, no. 9 (2013): 2222–33. http://dx.doi.org/10.1166/jctn.2013.3191.

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28

Ahmed, Sohail, Zhi-Min Chen, Hang Xu, and Muhammad Ishaq. "Mixed convection flow in a square lid-driven cavity subject to inclined magnetic field with highly accurate wavelet-homotopy solutions." Computers & Mathematics with Applications 162 (May 2024): 33–51. http://dx.doi.org/10.1016/j.camwa.2024.03.005.

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29

Faridzadeh, M. R., Davood Toghraie Semiromi, and Amirhossein Niroomand. "ANALYSIS OF LAMINAR MIXED CONVECTION IN AN INCLINED SQUARE LID-DRIVEN CAVITY WITH A NANOFLUID BY USING AN ARTIFICIAL NEURAL NETWORK." Heat Transfer Research 45, no. 4 (2014): 361–90. http://dx.doi.org/10.1615/heattransres.2014007068.

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30

Alinia, M., D. D. Ganji, and M. Gorji-Bandpy. "Numerical study of mixed convection in an inclined two sided lid driven cavity filled with nanofluid using two-phase mixture model." International Communications in Heat and Mass Transfer 38, no. 10 (2011): 1428–35. http://dx.doi.org/10.1016/j.icheatmasstransfer.2011.08.003.

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31

Rahman, Mohd Rosdzimin Abdul, Kin Yuen Leong, Azam Che Idris, and Mohd Rashdan Saad. "Thermal Fluid Dynamics of Al2O3–Cu/Water Hybrid Nanofluid in Inclined Lid Driven Cavity." Journal of Nanofluids 6, no. 1 (2017): 149–54. http://dx.doi.org/10.1166/jon.2017.1300.

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32

Sun, Dongliang, Jinliang Xu, and Peng Ding. "Performance Analyses of IDEAL Algorithm on Highly Skewed Grid System." Advances in Mechanical Engineering 6 (January 1, 2014): 813510. http://dx.doi.org/10.1155/2014/813510.

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IDEAL is an efficient segregated algorithm for the fluid flow and heat transfer problems. This algorithm has now been extended to the 3D nonorthogonal curvilinear coordinates. Highly skewed grids in the nonorthogonal curvilinear coordinates can decrease the convergence rate and deteriorate the calculating stability. In this study, the feasibility of the IDEAL algorithm on highly skewed grid system is analyzed by investigating the lid-driven flow in the inclined cavity. It can be concluded that the IDEAL algorithm is more robust and more efficient than the traditional SIMPLER algorithm, especially for the highly skewed and fine grid system. For example, at θ = 5° and grid number = 70 × 70 × 70, the convergence rate of the IDEAL algorithm is 6.3 times faster than that of the SIMPLER algorithm, and the IDEAL algorithm can converge almost at any time step multiple.
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33

Dahani, Youssef, Abdelkhalek Amahmid, Mohammed Hasnaoui, et al. "Effect of Nanoparticles on the Hysteresis Loop in Mixed Convection within a Two-Sided Lid-Driven Inclined Cavity Filled with a Nanofluid." Heat Transfer Engineering 40, no. 1-2 (2018): 128–46. http://dx.doi.org/10.1080/01457632.2017.1421130.

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34

Selimefendigil, Fatih, and Hakan F. Öztop. "MHD mixed convection of nanofluid in a flexible walled inclined lid-driven L-shaped cavity under the effect of internal heat generation." Physica A: Statistical Mechanics and its Applications 534 (November 2019): 122144. http://dx.doi.org/10.1016/j.physa.2019.122144.

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35

Ahmed, Sameh E., M. A. Mansour, and A. Mahdy. "MHD mixed convection in an inclined lid-driven cavity with opposing thermal buoyancy force: Effect of non-uniform heating on both side walls." Nuclear Engineering and Design 265 (December 2013): 938–48. http://dx.doi.org/10.1016/j.nucengdes.2013.06.023.

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36

Cho, Ching-Chang. "Mixed convection heat transfer and entropy generation of Cu-water nanofluid in wavy-wall lid-driven cavity in presence of inclined magnetic field." International Journal of Mechanical Sciences 151 (February 2019): 703–14. http://dx.doi.org/10.1016/j.ijmecsci.2018.12.017.

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37

Gibanov, Nikita S., Mikhail A. Sheremet, Hakan F. Oztop, and Nidal Abu-Hamdeh. "Effect of uniform inclined magnetic field on mixed convection in a lid-driven cavity having a horizontal porous layer saturated with a ferrofluid." International Journal of Heat and Mass Transfer 114 (November 2017): 1086–97. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.07.001.

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38

younesian, Amir, Hamid Mohammadiun, Mohammad Mohammadiun, Mohammad hossein Dibaei bonab, and Vali Parvaneh. "Investigation of the inverse problem in inclined lid-driven cavity with non-uniform heating on both side walls using the Levenberg-Marquardt algorithm." Case Studies in Thermal Engineering 69 (May 2025): 106051. https://doi.org/10.1016/j.csite.2025.106051.

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39

Al-Rashed, Abdullah A. A. A., Amin Shahsavar, Mohammad Akbari, Davood Toghraie, Mohammadreza Akbari, and Masoud Afrand. "Finite Volume Simulation of mixed convection in an inclined lid-driven cavity filled with nanofluids: Effects of a hot elliptical centric cylinder, cavity angle and volume fraction of nanoparticles." Physica A: Statistical Mechanics and its Applications 527 (August 2019): 121122. http://dx.doi.org/10.1016/j.physa.2019.121122.

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40

Chamkha, Ali, Zeinab Abdelrahman, Mohamed Mansour, Taher Armaghani, and Ahmed Rashad. "Effects of magnetic field inclination and internal heat sources on nanofluid heat transfer and entropy generation in a double lid driven L-shaped cavity." Thermal Science, no. 00 (2019): 325. http://dx.doi.org/10.2298/tsci190217325c.

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Mixed convection has been one of the most interesting subjects of study in the area of heat transfer for many years. The entropy generation due to MHD mixed convection heat transfer in L-shaped enclosure being filled with Cu-water nanofluid and having an internal heating generation is explored in this investigation by the finite volume technique. Lid-motion is presented by both right and top parts of walls to induce forced convection and the cavity is under an inclined uniform magnetic field along the positive horizontal direction. The statistics concentrated specifically on the impacts of several key parameters like as the aspect ratio of the enclosure, Hartmann number, nano-particle volume fraction, and heat source length/location on the heat transfer inside the L-shaped enclosure. Outcomes have been manifested in terms of isotherm lines, streamlines, local and average Nusselt numbers. The obtained results show that addition of nanoparticles into pure fluid leads to increase of heat transfer. The maximum value of local Nusselt pertaining to the heat source occurs when L=0.1. Impacts of heat source size and location, internal heat generation absorption, angle of magnetic field on heat transfer and entropy generation are completely analyzed and discussed. The best configuration and values of important parameters are also presented using thermal performance criteria.
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41

Muthtamilselvan, M., and S. Sureshkumar. "A Tilted Lorentz Force Effect on Porous Media Filled with Nanofluid." Journal of Theoretical and Applied Mechanics 48, no. 2 (2018): 50–71. http://dx.doi.org/10.2478/jtam-2018-0010.

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Abstract This paper is intended to investigate the effects of an inclined magnetic field on the mixed convection flow in a lid-driven porous enclosure filled with nanofluid. Both the left and right vertical walls of the cavity are thermally insulated while the bottom and top horizontal walls are maintained at constant but different temperatures. The governing equations are solved numerically by using finite volume method on a uniformly staggered grid system. The computational results are obtained for various combinations of Richardson number, Darcy number, Hartmann number, inclination angle of magnetic field, and solid volume fraction. It is found that the presence of magnetic field deteriorates the fluid flow, which leads to a significant reduction in the overall heat transfer rate. The inclination angle of magnetic field plays a major role in controlling the magnetic field strength and the overall heat transfer rate is enhanced with the increase of inclination angle of magnetic field. Adding the nanoparticles in the base fluid significantly increases the overall heat transfer rate in the porous medium whether the magnetic field is considered or not.
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42

Hemmat Esfe, Mohammad, Mohammad Akbari, Davood Toghraie Semiromi, Arash Karimipour, and Masoud Afrand. "EFFECT OF NANOFLUID VARIABLE PROPERTIES ON MIXED CONVECTION FLOW AND HEAT TRANSFER IN AN INCLINED TWO-SIDED LID-DRIVEN CAVITY WITH SINUSOIDAL HEATING ON SIDEWALLS." Heat Transfer Research 45, no. 5 (2014): 409–32. http://dx.doi.org/10.1615/heattransres.2013007127.

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43

Hussain, Shafqat, Hakan F. Öztop, Khalid Mehmood, and Nidal Abu-Hamdeh. "Effects of inclined magnetic field on mixed convection in a nanofluid filled double lid-driven cavity with volumetric heat generation or absorption using finite element method." Chinese Journal of Physics 56, no. 2 (2018): 484–501. http://dx.doi.org/10.1016/j.cjph.2018.02.002.

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44

Rashad, A. M., SamehE Ahmed, WaqarA Khan, and M. A. Mansour. "Inclined MHD Mixed Convection and Partial Slip of Nanofluid in a Porous Lid-Driven Cavity with Heat Source-Sink: Effect of Uniform and Non-Uniform Bottom Heating." Journal of Nanofluids 6, no. 2 (2017): 368–78. http://dx.doi.org/10.1166/jon.2017.1324.

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45

Selimefendigil, Fatih, Hakan F. Öztop, and Ali J. Chamkha. "MHD mixed convection and entropy generation of nanofluid filled lid driven cavity under the influence of inclined magnetic fields imposed to its upper and lower diagonal triangular domains." Journal of Magnetism and Magnetic Materials 406 (May 2016): 266–81. http://dx.doi.org/10.1016/j.jmmm.2016.01.039.

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46

Goodarzi, Marjan, Annunziata D’Orazio, Ahmad Keshavarzi, Sayedali Mousavi, and Arash Karimipour. "Develop the nano scale method of lattice Boltzmann to predict the fluid flow and heat transfer of air in the inclined lid driven cavity with a large heat source inside, Two case studies: Pure natural convection & mixed convection." Physica A: Statistical Mechanics and its Applications 509 (November 2018): 210–33. http://dx.doi.org/10.1016/j.physa.2018.06.013.

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47

Kumar, Jitendra, and N. R. Panchapakesan. "Numerical Investigation of Rotating Lid-driven Cubical Cavity Flow." Defence Science Journal 67, no. 3 (2017): 233. http://dx.doi.org/10.14429/dsj.67.10289.

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<p>The present work numerically investigates the flow field in a cubical cavity driven by a lid rotating about an axis passing through its geometric center. Behaviour of core flow and secondary vortical structures are presented. Grid-free critical Reynolds number at which flow turns oscillatory is estimated to be 1606. This differs significantly from the linear lid-driven cubical cavity as well as circular lid-driven cylindrical cavity flows which have been reported to attain unsteadiness at higher Reynolds numbers. A stationary vortex bubble similar to rotating lid-driven cylindrical cavity flow has been observed to be present in the flow.</p>
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48

Perumal, D. Arumuga, and Anoop K. Dass. "Computation of Lattice Kinetic Scheme for Double-Sided Parallel and Antiparallel Wall Motion." Applied Mechanics and Materials 592-594 (July 2014): 1967–71. http://dx.doi.org/10.4028/www.scientific.net/amm.592-594.1967.

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This paper is concerned with the double-sided lid-driven cavity simulation of two-dimensional lattice kinetic scheme on the uniform lattice arrangement based on the standard lattice Boltzmann method. The double-sided lid-driven cavity problem has multiple steady solutions for some aspect ratios. However, for the double-sided square cavity no multiplicity of solutions has been observed for both the parallel and antiparallel motion of the walls. To validate this new lattice kinetic scheme, the numerical simulations of the double-sided square driven cavity flow at Reynolds numbers from 10 to 1000 are carried out. The Reynolds number effect on the flow structure is clearly manifested by the streamline patterns and velocity profiles. It is concluded that the present study in double-sided lid-driven cavity produces results that are in excellent conformity with earlier conventional numerical observations.
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49

Fazuruddin, Syed, Seelam Sreekanth, and G. Sankara Sekhar Raju. "Numerical Simulation of Slip effect on Lid-Driven Cavity Flow Problem for High Reynolds Number: Vorticity – Stream Function Approach." Mathematical Modelling of Engineering Problems 8, no. 3 (2021): 418–24. http://dx.doi.org/10.18280/mmep.080311.

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Incompressible 2-D Navier-stokes equations for various values of Reynolds number with and without partial slip conditions are studied numerically. The Lid-Driven cavity (LDC) with uniform driven lid problem is employed with vorticity - Stream function (VSF) approach. The uniform mesh grid is used in finite difference approximation for solving the governing Navier-stokes equations and developed MATLAB code. The numerical method is validated with benchmark results. The present work is focused on the analysis of lid driven cavity flow of incompressible fluid with partial slip conditions (imposed on side walls of the cavity). The fluid flow patterns are studied with wide range of Reynolds number and slip parameters.
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Dong, Di Bo, Sheng Jun Shi, Zhen Xiu Hou, and Wei Shan Chen. "Numerical Simulation of Viscous Flow in a 3D Lid-Driven Cavity Using Lattice Boltzmann Method." Applied Mechanics and Materials 444-445 (October 2013): 395–99. http://dx.doi.org/10.4028/www.scientific.net/amm.444-445.395.

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A lattice Boltzmann method (LBM) with single-relaxation time and on-site boundary condition is used for the simulation of viscous flow in a three-dimensional (3D) lid-driven cavity. Firstly, this algorithm is validated by compared with the benchmark experiments for a standard cavity, and then the results of a cubic cavity with different inflow angles are presented. Steady results presented are for the inflow angle of and, and the Reynolds number is selected as 500. It is found that for viscous flow under moderate Reynolds number, there exists a primary vortex near the center and a secondly vortex at the lower right corner on each slice when, namely in a standard 3D lid-driven cavity, which cant be found when. So it can be thought that the flow pattern in a 3D lid-driven cavity depends not only on the Reynolds number but also the inflow angle.
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