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A closed-form analytical model for predicting 3D boundary layer displacement thickness for the validation of viscous flow solvers

Kumar, V R Sanal and Sankar, Vigneshwaran and Chandrasekaran, Nichith and Saravanan, Vignesh and Natarajan, Vishnu and Padmanabhan, Sathyan and Sukumaran, Ajith and Mani, Sivabalan and Rameshkumar, Tharikaa and Doddi, Hema Sai Nagaraju and Vysaprasad, Krithika and Sharan, Sharad and Murugesh, Pavithra and Shankar, S Ganesh and Nejaamtheen, Mohammed Niyasdeen and Baskaran, Roshan Vignesh and Rafic, Sulthan Ariff Rahman Mohamed and Harisrinivasan, Ukeshkumar and Srinivasan, Vivek (2018) A closed-form analytical model for predicting 3D boundary layer displacement thickness for the validation of viscous flow solvers. In: AIP ADVANCES, 8 (2).

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Official URL: http://dx.doi.org/10.1063/1.5020333

Abstract

A closed-form analytical model is developed for estimating the 3D boundary-layer-displacement thickness of an internal flow system at the Sanal flow choking condition for adiabatic flows obeying the physics of compressible viscous fluids. At this unique condition the boundary-layer blockage induced fluid-throat choking and the adiabatic wall-friction persuaded flow choking occur at a single sonic-fluid-throat location. The beauty and novelty of this model is that without missing the flow physics we could predict the exact boundary-layer blockage of both 2D and 3D cases at the sonic-fluid-throat from the known values of the inlet Mach number, the adiabatic index of the gas and the inlet port diameter of the internal flow system. We found that the 3D blockage factor is 47.33 % lower than the 2D blockage factor with air as the working fluid. We concluded that the exact prediction of the boundary-layer-displacement thickness at the sonic-fluid-throat provides a means to correctly pinpoint the causes of errors of the viscous flow solvers. The methodology presented herein with state-of-the-art will play pivotal roles in future physical and biological sciences for a credible verification, calibration and validation of various viscous flow solvers for high-fidelity 2D/3D numerical simulations of real-world flows. Furthermore, our closed-form analytical model will be useful for the solid and hybrid rocket designers for the grain-port-geometry optimization of new generation single-stage-to-orbit dual-thrust-motors with the highest promising propellant loading density within the given envelope without manifestation of the Sanal flow choking leading to possible shock waves causing catastrophic failures. (C) 2018 Author(s).

Item Type: Journal Article
Additional Information: Copy right for the article belong to AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Depositing User: Id for Latest eprints
Date Deposited: 27 Mar 2018 18:27
Last Modified: 27 Mar 2018 18:27
URI: http://eprints.iisc.ac.in/id/eprint/59394

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