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- By Magdalena Anitescu, Charles E. Argoff, Arash Asher, Nyla Azam, Nomen Azeem, Sachin K. Bansal, Jose E. Barreto, Rodrigo A Benavides, Niteesh Bharara, Justin B. Boge, Robert B. Bolash, Thomas K. Bond, Christopher Centeno, Zachariah W. Chambers, Jonathan Chang, Grace Chen, Hamilton Chen, Jeffry Chen, Jianguo Cheng, Natalia Covarrubias, Claire J. Creutzfeldt, Gulshan Doulatram, Amirpasha Ehsan, Ike Eriator, Jeff Ericksen, Mark Etscheidt, Frank J. E. Falco, Jack Fu, Timothy Furnish, Annemarie E. Gallagher, Kingsuk Ganguly, Eugene Garvin, Cliff Gevirtz, Scott E. Glaser, Brandon J. Goff, Harry J. Gould, Christine Greco, Jay S. Grider, Maged Guirguis, Qiao Guo, Justin Hata, John Hau, Garett J. Helber, Eric R. Helm, Lori Hill Marshall, Dean Hommer, Jeffrey Hopcian, Eric S. Hsu, Jakun Ing, Tracy P. Jackson, Gaurav Jain, Chrystina Jeter, Alan David Kaye, James Kelly, Soorena Khojasteh, Ankur Khosla, Daniel Krashin, Monika A. Krzyzek, Prasad Lakshminarasimhiah, Steven Michael Lampert, Garrett LaSalle, Quan D. Le, Ankit Maheshwari, Edward R. Mariano, Joaquin Maury, John P. McCallin, John Michels, Natalia Murinova, Narendren Narayanasamy, Rebekah L. Nilson, Elliot Palmer, Vikram B. Patel, Devin Peck, Donald B. Penzien, Danielle Perret Karimi, Tilak Raj, Michael R. Rasmussen, Mohit Rastogi, Rahul Rastogi, Nashaat N. Rizk, Rinoo V. Shah, Paul A. Sloan, Julian Sosner, A. Raj Swain, Minyi Tan, Natacha Telusca, Santhosh A. Thomas, Andrea Trescot, Michael Truong, Jason Tucker, Richard D. Urman, Brandon A. Van Noord, Nihir Waghela, Irene Wu, Jiang Wu, Jijun Xu, Jinghui Xie, William Yancey
- Edited by Alan David Kaye, Louisiana State University, Rinoo V. Shah
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- Book:
- Case Studies in Pain Management
- Published online:
- 05 October 2014
- Print publication:
- 16 October 2014, pp xi-xv
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On the two-dimensional viscous counterpart of the one-dimensional sonic throat
- Sheldon Weinbaum, Richard W. Garvine
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- Journal:
- Journal of Fluid Mechanics / Volume 39 / Issue 1 / 23 October 1969
- Published online by Cambridge University Press:
- 29 March 2006, pp. 57-85
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- Article
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An analysis of the full, compressible, non-adiabatic boundary-layer equations is presented to describe the so-called ‘throat’ formed when a two-dimensional viscous layer, interacting with a supersonic inviscid outer stream, is accelerated or decelerated through sonic velocity defined in some mean sense. The basic analysis differs from previous momentum integral theories in that the dynamics of the viscous layer is described by the exact local expressions for the streamwise gradients of the flow variables that obtain from the boundary-layer conservation equations, rather than on streamwise derivatives of integral properties of these equations. The theory is then used to develop an extensive analogy with the classical analysis of the throat in the inviscid quasi one-dimensional streamtube. The theory shows that a single integral constraint exists at the throat, which relates the velocity and temperature profiles in the viscous layer to the motion of the inviscid outer flow. One consequence of this constraint is that, for a one-parameter family of profile shapes, the solution can be started at the throat station by specifying only a single variable, the free stream Reynolds number based on the physical thickness of the viscous layer at the throat station. For the hypersonic near wake, this simplification permits one to obtain an approximate solution for the downstream flow without first solving the detailed motion in the base recirculation region. The paper ends with a discussion of the numerical results for the Stewartson family of wake-like profiles.
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