Abstract
Variable density flows are basically those in which density variations cannot be neglected and hence the density is treated as a variable. This formidable change in density may be caused by either of three variables of the ideal gas equation (when dealing with gases) namely pressure, temperature and molar-mass. When pressure causes considerable change in density, the flow is no longer incompressible and they are dealt separately under compressible flows. But when density variation is caused by the other two aforementioned variables then the flow is still incompressible but the density will vary. Presence of varying density in governing equations poses a formidable challenge for numerical simulation as there is a very strong coupling between momentum and scalar transport equations. This work involves the development of three-dimensional Navier-Stokes solver to compute variable density incompressible flows on hybrid unstructured grids. The density variation due to temperature and species concentration has been considered.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bell, J.B., Marcus, D.L.: A second order projection method for variable-density flows. J. Comput. Phys. 101, 334–348 (1992)
Rahul, S., Eswaran, V., Sundar, P.S.: An algorithm for variable-density flows. ASME-JSME Therm. Eng. Summer Heat Transf. Conf. 1(HT2007-32131), 195–201 (2007)
Rhie, C., Chow, W.: Numerical Study of turbulent flow past an aerofoil trailing separation. AIAA J. 21, 1325–1332 (1983)
Darbandi, M., Hozeinizadeh, S.F.: Numerical simulation of thermo-buoyant flow with large temperature variation. J. Thermophys. Heat Transf. 20(2), 285–296 (2006)
Dalal, A., Eswaran, V., Biswas, G.: A finite-volume method for Navier-Stokes equations on unstructured meshes. Numer. Heat Transf. 54, 238–259 (2008)
de Vahl Davis, G.: Natural Convection of air in a square cavity: a benchmark numerical solution. Int. J. Numer. Meth. Fluids 3, 249–264 (1983)
Shavit, G., Lavan, Z.: Analytical and experimental investigations of laminar mixing of confined heterogeneous jets. AIAA J. 11(3), 352–358
Acknowledgements
This study is funded by a grant from the DAE-BRNS, Government of India.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer India
About this paper
Cite this paper
Ankit Bajpai, Jai Manik, Mukul Parmananda, Amaresh Dalal, Ganesh Natarajan (2017). Computation of Variable Density Flows on Hybrid Unstructured Grids. In: Saha, A., Das, D., Srivastava, R., Panigrahi, P., Muralidhar, K. (eds) Fluid Mechanics and Fluid Power – Contemporary Research. Lecture Notes in Mechanical Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2743-4_41
Download citation
DOI: https://doi.org/10.1007/978-81-322-2743-4_41
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2741-0
Online ISBN: 978-81-322-2743-4
eBook Packages: EngineeringEngineering (R0)