Couette flow between parallel plates: a benchmark case for teaching computational fluid dynamics
DOI:
https://doi.org/10.5902/2179460X87078Keywords:
Finite volume methods, Couette Flow, CalcMe, OpenFOAM, CFDAbstract
Computational Fluid Dynamics numerically solves the equations of fluid flow. The syllabus covered in the area includes numerical methods, modeling, and computational tools, making it an interdisciplinary challenge to develop material for undergraduate courses. This work presents a methodology for teaching the finite volume method and the steps of a fluid dynamics simulation through the case study of Couette flow between parallel plates. The work presents the didactic content for deriving the discrete equations using the finite volume method for 1D steady-state purely diffusive flow. The assembly and solution of the algebraic system uses a free tool, CalcMe, an online application for algebraic calculations. Then, the same case is solved using a free simulation tool, OpenFOAM®, and the teaching material is presented in the format of a tutorial. Finally, this work adopts only free tools and presents a methodology aimed at mitigating the effects of “black-box” simulation through explanatory didactic material, which aims to broaden access to knowledge of numerical solution and usability of a fluid dynamics simulation tool.
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References
Adair, D., Jaeger, M. (2019). An efficient strategy to deliver understanding of both numerical and practical aspects when using navier-stokes equations to solve fluid mechanics problems. Fluids, 4(4).
Barba, L. A., Forsyth, G. F. (2018). CFD Python: the 12 steps to Navier-Stokes equations. Journal of Open Source Education, 1(9), 21.
Barba, L. A., Mesnard, O. (2019). Aero Python: classical aerodynamics of potential flow using Python. Journal of Open Source Education, 2(15), 45.
Battista, N. A. (2020). Suite-CFD: An array of fluid solvers written in matlab and python. Fluids, 5(1).
Clebsch, A. B., Mors, P. M. (2004). Explorando recursos simples de informática e
audiovisuais: uma experiência no ensino de fluidos. Rev Bras Ens Fis, 26, 323–333.
Dales, R., Willis, L. (2010). Application of Computational Fluid Dynamics (CFD) through project-based learning. Higher Education Academy Engineering Subject Centre, Loughborough University.
Dias Fernandes, T. F. D., Moreira, N. L. (2019). Uma interface de controle para a Fluidodinˆamica Computacional. Rev Bras Ens Fis, 41(4), 1–11.
Fortuna, A. O. (2020). Técnicas Computacionais para Dinamica dos Fluidos . LTC.
Hoist, T. L. (1994). Computational Fluid Dynamics Uses in Fluid Dynamics / Aerodynamics Education. Relatorio Técnico, National Aeronautics and Space Administration.
Hu, J., Zhang, L., Xiong, X. (2008). Teaching Computational Fluid Dynamics (CFD) to design engineers. Em: ASEE Annual Conference and Exposition, American Society for Engineering Education.
LaRoche, R. D., Hutchings, B. J., Muralikrishnan, R. (2002). Flowlab: Computational fluid dynamics (CFD) framework for undergraduate education. Em: ASEE Annual Conference Proceedings, American Society for Engineering Education, pp. 1235 – 1238.
Maliska, C. R. (2017). Transferˆencia de Calor e Mecanica dos Flu´ıdos Computacional . LTC.
Patankar, S. (1980). Numerical Heat Transfer and Fluid Flow. CRC Press.
Pawar, S., San, O. (2019). CFD Julia: A learning module structuring an introductory course on computational fluid dynamics. Fluids, 4(3).
Polanco, G., Garc´ıa, N., Rojas, L. (2009). Teaching how to use the CFD approach by an example: Hydrodynamics within a passenger car compartment in motion. Em: Proceedings of FEDSM2009 ASME 2009 Fluids Engineering Division Summer Meeting, ASME, pp. 251–257.
Rocha, P. A. C., da Silveira, J. V. P. (2012). Estudo e aplicação de simulação computacional em problemas simples de mecânica dos fluidos e transferˆencia de calor. Rev Bras Ens Fis, 34.
Rodr´ıguez-Mart´ın, M., Rodr´ıguez-Gonz´alvez, P., S´anchez-Patrocinio, A., S´anchez, J. R. (2019). Short CFD simulation activities in the context of fluid-mechanical learning in a multidisciplinary student body. Applied Sciences, 9, 1–17.
Sert, C., Nakiboglu, G. (2007). Use of computational fluid dynamics (CFD) in teaching fluid mechanics. Em: ASEE Annual Conference and Exposition, American Society for Engineering Education.
Solmaz, S., Van Gerven, T. (2022). Interactive CFD simulations with virtual reality to support learning in mixing. Computers and Chemical Engineering, 156, 107,570.
Souza, P. V. S., de Oliveira, P. M. C. (2016). T´uneis de vento num´ericos. Rev Bras Ens Fis, 38.
Stern, F., Xing, T., Yarbrough, D. B., Rothmayer, A., Rajagopala, G., Otta, S. P., Caughey, D., Bhaskaran, R., Smith, S., Hutchings, B., Moeykens, S. (2006). Hands-On CFD Educational Interface for Engineering Courses and Laboratories. Journal of Engineering Education, (January), 63–83.
Vasata, D., Galante, G., Rizzi, R. L., Zara, R. A. (2011). Solução computacional do problema da cavidade c´ubica atrav´es das equações de Navier-Stokes tridimensionais. ˜Rev Bras Ens Fis, 33(2).
Versteeg, H. K., Malalasekera, W. (2007). Introduction to Computational Fluid Dynamics - THE FINITE VOLUME METHOD. Pearson Education Limited.
Vieira, C. A., Pires, M. (2022). Aerodinˆamica de autos para o ensino m´edio na abordagem dos trˆes momentos pedagógicos. ´ Rev Bras Ens Fis, 44.
Wang, Z., Gao, D. (2017). The Application of CFD in Teaching of Fluid Machinery. Em: Proceedings of the 3rd International Conference on Arts, Design and Contemporary Education (ICADCE), Atlantis Press.
Wehmann, C. F., Rocha, P. A. C., da Silva, M. E. V., Ara´ujo, F. A. A., Correia, D. L. (2018). Estudo e aplicação de simulação computacional em problemas simples de mecˆanica dos fluidos e transferˆencia de calor - Parte II: Problemas cl´assicos de transmiss˜ao de calor. Rev Bras Ens Fis, 40(2), 1–9.
Werlang, R. B., de Souza Schneider, R., da Silveira, F. L. (2008). Uma experiˆencia de ensino de f´ısica de fluidos com o uso de novas tecnologias no contexto de uma escola t´ecnica. Rev Bras Ens Fis, 30, 1–9.
Young, D. F., Munson, B. R., Okiishi, T. H. (2011). A Brief Introduction to Fluid Mechanics. John Wiley & Sons.
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