Variant slip effects, aspect ratios and steady-state criteria in unsteady cavities with direct PDE simulation of eddies
References
- Cheng W., Hu B., Wan T., Wang Z., Yamamoto F., Research and application of flow visualization technique in large-scale hydraulic models, Journal of Physics: Conference Series, 147(1), 546–553, 2009.
- Shu J.J., Teo J.B.M., Chan W.K., A new model for fluid velocity slip on a solid surface, Soft Matter, 12(40), 8388–8397, 2016.
- Kempe T., Lennartz M., Schwarz S., Fröhlich J., Imposing the free-slip condition with a continuous forcing immersed boundary method, Journal of Computational Physics, 282, 183–209, 2015.
- Wang K., Chai Z., Hou G., Chen W., Xu S., Slip boundary condition for lattice Boltzmann modeling of liquid flows, Computer and Fluids, 161, 60–73, 2018.
- Shankar P.N., Deshpande M.D., Fluid mechanics in the driven cavity, Annual Review of Fluid Mechanics, 32, 93–136, 2000.
- Moffatt H.K., Viscous and resistive eddies near a sharp corner, Journal of Fluid Mechanics, 18(1), 1–18, 1964.
- Sousa R.S., Poole R.J., Afonso A.M., Pinho F.T., Oliveira P.J., Morozov A., Alves M.A., Lid-driven cavity flow of ciscoelastic liquids, Journal of Non-Newtonian Fluid Mechanics, 234, 129–138, 2016.
- Botella A., Peyret R., Benchmark spectral results on the lid-driven cavity flow, Computers and Fluids, 27(4), 421–433, 1998.
- Moshkin N.P., Poochinapan K., Novel finite difference scheme for the numerical solution of two-dimensional incompressible Navier-Stokes equations, International Journal of Numerical Analysis and Modeling, 7(2), 321–329, 2010.
- Zhu J., Two-Dimensional Unsteady Flow in a Lid Driven Cavity with Constant Density and Viscosity, ME 412 Project 5, 1–17, 2014.
- Marchi C.H., Carvalho da Silva A.F., Unidimensional numerical solution error estimation for convergent apparent order, Numerical Heat Transfer, Part B: Fundamentals: An International Journal of Computation and Methodology, 42(2), 167–188, 2002.
- Khan M.I., Alzahrani F., Hobiny A., Heat transport and nonlinear mixed convective nanomaterial slip flow of Walter-B fluid containing gyrotactic microorganisms, Alexandria Engineering Journal, 59(3), 1761–1769, 2020.
- Munson B.R., Young D.F., Okiishi T.H., Fundanmentals of Fluid Mechanics, John Wiley & Sons, New York, USA, 2002.
- Dass H.K., Advanced Engineering Mathematics, Chand & Company, New Delhi, India, 1988.
- Turek S., Kuzmin D., Lecture Note from Department of Mathematics of the Technical University Dortmund (Chapter 4: Finite difference method), Germany, 2016.
- Chapra S.C., Canale R., Numerical Method for Engineers, McGraw Hill, New York, USA, 2006.
- Incropera F.P., Dewitt D.P., Bergman T.L., Lavine A.S., Fundamentals of Heat and Mass Transfer, John Wiley & Sons, New York, USA, 2006.
- Abd-El-Hafiz S.K., Ismail G.A.F., Matit B.S., Efficient numerical solution of 3D incompressible viscous Navier-Stokes equations, International Journal of Pure and Applied Mathematics, 13(3), 391–411, 2004.
- Marchi C.H., Suero R., Araki L.K., The lid-driven square cavity flow: Numerical solution with a 1024 × 1024 grid, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 31(3), 186–198, 2009.
- Abbas S.Z., Khan M.I., Kadry S., Khan W.A., Israr-Ur-Rehman M., Waqas M., Fully developed entropy optimized second order velocity slip MHD nanofluid flow with activation energy, Computer Methods and Programs in Biomedicine, 190, 105362, 2020.
- Maali A., Bhushan B., Measurement of slip length on superhydrophobic surfaces, Philosophical Transactions: Mathematical Physical and Engineering Sciences, 370, 2304–2320, 1967.
DOI: https://doi.org/10.2478/ijmce-2025-0006 | Journal eISSN: 2956-7068
Language: English
Page range: 57 - 74
Submitted on: Jul 12, 2023
Accepted on: Jan 21, 2024
Published on: Jun 2, 2024
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Related subjects:
© 2024 Hon Fei Wong, Muhammad Sohail, Noor Fadiya Mohd Noor, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.