The first law of thermodynamics reveals that all fluids are compressible, and the second law of thermodynamics entails all fluids to have positive viscosity. These established laws reaffirm the possibilities of the occurrence of Sanal flow choking in yocto to yotta scale systems and beyond [Kumar et al., “Discovery of nanoscale Sanal flow choking in cardiovascular system: Exact prediction of the 3D boundary-layer-blockage factor in nanotubes,” Sci. Rep. 11, 15429 (2021); “Sanal flow choking: A paradigm shift in computational fluid dynamics code verification and diagnosing detonation and hemorrhage in real-world fluid-flow systems,” Global Challenges 4, 2000012 (2020)]. The Sanal flow choking occurs in the real-world flows at a critical total-to-static pressure ratio [Kumar et al., “Abstract P422: Sanal flow choking leads to hemorrhagic stroke and other neurological disorders in earth and human spaceflight,” Circul. Res. 129(1), AP422 (2021)]. At the Sanal flow choking condition, the Rayleigh-flow-effect (thermal choking) and the Fanno-flow-effect (choking due to frictional effects) unite at a unique site of the sonic-fluid-throat. In this article, the two-dimensional (2D) and the three-dimensional (3D) boundary-layer-blockage factors and average friction coefficient are generated for different working fluids passing through a cylindrical port, at the Sanal flow choking condition, as universal benchmark data for a credible verification of in silico codes for both adiabatic and diabatic flows. The outlook, advancement, and significance of the analytical methodology, invoked for developing Sanal flow choking model using well-posed initial conditions, for generating the universal benchmark data for computational fluid dynamics code verification are critically reviewed herein. The closed-form analytical models presented herein for predicting the 2D and the 3D boundary-layer-blockage factors at the sonic-fluid-throat of adiabatic and diabatic flows and average friction coefficient in a circular duct at the Sanal flow choking condition are fabulously unaffected with any errors due to discretization and fully freed from empiricism for a credible decision making on various high fidelity numerical simulations. The Sanal flow choking model offers the luxury to the scientific community for solving numerous unresolved problems in boundary layer theory. It provides universal benchmark data for various applications irrespective of the laminar/turbulence flow features in wall-bounded compressible viscous flow systems. The 2D and 3D in silico simulation results are presented for demonstrating conclusively the possibilities of the occurrence of the Sanal flow choking and streamtube flow choking [Kumar et al., “The theoretical prediction of the boundary layer blockage and external flow choking at moving aircraft in ground effects,” Phys. Fluids 33(3), 036108 (2021).] in internal and external flows. The phenomenological manifestation of the flow choking phenomenon reported herein extends disruptive technologies at the cutting-edge to solve century-long unresolved scientific problems in physics of fluids with credibility.
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April 2022
Review Article|
April 08 2022
Universal benchmark data of the three-dimensional boundary layer blockage and average friction coefficient for in silico code verification
Special Collection:
Centennial of the Kármán-Pohlhausen Momentum-Integral Approach
V. R. Sanal Kumar
;
V. R. Sanal Kumar
a)
1
Indian Space Research Organisation, Vikram Sarabhai Space Centre
, Trivandrum 695 022, Kerala, India
2
Indian Institute of Science, Aerospace Engineering
, Bangalore 560012, Karnataka, India
a)Author to whom correspondence should be addressed: vr_sanalkumar@yahoo.co.in. Tel.: +91–8754200501
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Vigneshwaran Sankar
;
Vigneshwaran Sankar
2
Indian Institute of Science, Aerospace Engineering
, Bangalore 560012, Karnataka, India
3
KAUST, Mechanical Engineering, Clean Combustion Research Center
, Thuwal 23955, Saudi Arabia
5
Kumaraguru College of Technology, Aeronautical Engineering
, Coimbatore 641 049, Tamil Nadu, India
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Nichith Chandrasekaran
;
Nichith Chandrasekaran
2
Indian Institute of Science, Aerospace Engineering
, Bangalore 560012, Karnataka, India
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Vignesh Saravanan
;
Vignesh Saravanan
4
Seoul National University, Aerospace Engineering
, Gwanak-gu, Seoul 08826, South Korea
5
Kumaraguru College of Technology, Aeronautical Engineering
, Coimbatore 641 049, Tamil Nadu, India
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Ajith Sukumaran
;
Ajith Sukumaran
4
Seoul National University, Aerospace Engineering
, Gwanak-gu, Seoul 08826, South Korea
5
Kumaraguru College of Technology, Aeronautical Engineering
, Coimbatore 641 049, Tamil Nadu, India
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Vigneshwaran Rajendran
;
Vigneshwaran Rajendran
5
Kumaraguru College of Technology, Aeronautical Engineering
, Coimbatore 641 049, Tamil Nadu, India
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Shiv Kumar Choudhary
;
Shiv Kumar Choudhary
6
All India Institute of Medical Sciences, Cardiothoracic and Vascular Surgery
, New Delhi 110608, India
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Pradeep Kumar Radhakrishnan
;
Pradeep Kumar Radhakrishnan
7
GITAM University, Chief Division of Cardiothoracic and Vascular Surgery
, Visakhapatnam 530045, Andhra Pradesh, India
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Charlie Oommen
;
Charlie Oommen
2
Indian Institute of Science, Aerospace Engineering
, Bangalore 560012, Karnataka, India
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Dhruv Panchal
;
Dhruv Panchal
8
Amity University, Amity Institute of Aerospace Engineering
, Noida 201 313, Uttar Pradesh, India
9
Dhruv Aerospace, Computational Fluid Dynamics Group
, Ahmedabad 382481, Gujarat, India
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Sulthan Ariff Rahman Mohamed Rafic
;
Sulthan Ariff Rahman Mohamed Rafic
2
Indian Institute of Science, Aerospace Engineering
, Bangalore 560012, Karnataka, India
5
Kumaraguru College of Technology, Aeronautical Engineering
, Coimbatore 641 049, Tamil Nadu, India
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Rajaghatta Sundararam Bharath
;
Rajaghatta Sundararam Bharath
2
Indian Institute of Science, Aerospace Engineering
, Bangalore 560012, Karnataka, India
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Yash Raj
;
Yash Raj
8
Amity University, Amity Institute of Aerospace Engineering
, Noida 201 313, Uttar Pradesh, India
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Srajan Shrivastava
Srajan Shrivastava
8
Amity University, Amity Institute of Aerospace Engineering
, Noida 201 313, Uttar Pradesh, India
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a)Author to whom correspondence should be addressed: vr_sanalkumar@yahoo.co.in. Tel.: +91–8754200501
Note: This paper is part of the special topic, Centennial of the Kármán-Pohlhausen Momentum-Integral Approach.
Physics of Fluids 34, 041301 (2022)
Article history
Received:
January 27 2022
Accepted:
March 13 2022
Citation
V. R. Sanal Kumar, Vigneshwaran Sankar, Nichith Chandrasekaran, Vignesh Saravanan, Ajith Sukumaran, Vigneshwaran Rajendran, Shiv Kumar Choudhary, Pradeep Kumar Radhakrishnan, Charlie Oommen, Dhruv Panchal, Sulthan Ariff Rahman Mohamed Rafic, Rajaghatta Sundararam Bharath, Yash Raj, Srajan Shrivastava; Universal benchmark data of the three-dimensional boundary layer blockage and average friction coefficient for in silico code verification. Physics of Fluids 1 April 2022; 34 (4): 041301. https://doi.org/10.1063/5.0086638
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