Barth

Barth (1956), who pioneered some of the best early practical developments in cyclone modeling, proposed calculating the wall velocity and the tangential velocity at the control cylinder CS in steps  

In some geometries the tangential gas velocity at the wall, and in the entire space between the wall and the vortex finder, can be significantly higher than the inlet velocity due to constriction of the inlet jet. In Fig. 4.2.2, the inlet flow pattern in a cyclone with a slot type of rectangular inlet is compared with one with a 360 wrap-around or full scroll inlet. 

In the former, the inlet jet is compressed against the wall, resulting in a decrease in the area available for the incoming flow, and an increase in the velocity. Barth accounts for this by introducing a, which he defined as the ratio of the moment-of-momenta of the gas in the inlet and the gas flowing along the wall  

Barth suggested taking a as unity for a wrap-around inlet, and gave empirical data for the value of a for slot inlets in graphical form. Muschelknautz (1972, 1980) gave algebraic relations for a, the simplest of which is  

To get from to the tangential velocity at CS,vgcs, Barth placed an imagined frictional surface in the flow. This surface accounts for the loss of angular momentum due to friction at the cyclone wall. The diameter and height of the friction surface are D x and Hcs, respectively. Outside 

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E. Barth, M. Mandziuk, and T. Schlick. A separating framework for increasing the timestep in molecular dynamics. In W. F. van Gunsteren, P. K. Weiner, and A. J. Wilkinson, editors. Computer Simulation of Biomolecular Systems Theoretical and Experimental Applications, volume III, chapter 4, pages 97-121. ESCOM, Leiden, The Netherlands, 1997. 

E. Barth and T. Schlick. Overcoming stability limitations in biomolecular dynamics I. combining force splitting via extrapolation with Langevin dynamics in LN. J. Chem. Phys., 109 1617-1632, 1998. 

Schlick, T., Barth, E., Mandziuk M. Biomolecular Dynamics at Long Timesteps Bridging the Timescale Gap Between Simulation and Experimentation. Ann. Rev. Biophy. Biomol. Struct. 26 (1997) 181-222... 

Development - Concepts and Primripl s, Reading, MA, Addison-Wesley, 1998. p2] A. Barth, "Online databases in... 

D. M. Cvetkovic, M. Doob, H. Sachs, Spectra of Graphs, Theory and Applications, 3rd edition, Johann Ambrosius Barth Verlag, Heidelberg, 1995. 

M. Barth and co-workers. Proceedings of 3rd International Conference on Suf ace Modfication Technologies, Neuchatel, Switzerland, 1989. 

Wodd malt production figures, John Barth and Son, Nuremberg, Germany. 

T. Provder, M. W. Urban, and H. G. Barth, eds.. Hyphenated Techniques in Polymer Characterisation Thermal-Spectroscopic and Other Methods, American Chemical Society, Washington, D.C., 1994. 

H. Tmttwin, Handbuch der Kosmetischen Chemie, 2nd ed., J. A. Barth, Leip2ig, Germany, 1924. 

L. Bolt2mann, Eectures on Gas Theoj, English translation University of California Press, 1964) German original pubHshed byj. A. Barth, Leip2ig, 1896, Part I 1898, Part II. 

Hall, 4th ed. 1990. Barth and Sun, Patiicle Size Analysis Review, Anal. Chem., 57, 151R, 1985. Miller and Lines, Ctitical Reviews in Analytical Chemistry, 20(2), 75-116, 1988. Herdan, Small Paiiicle Statistics, Biitterworths, London. OiT and DalleVaUe, Fine Patiicle Measurement, Macmillan, New York, 2d ed., 1960. Kaye, Direct Chatactetization of Fine Patiicles, Whey, New York, 1981. Van de Hiilst, Light Scattering hy Small Patiicles, Whey, New York, 1957. 

M Barthes, H Kellouai, G Page, J Moret, SW Johnson, J Eckert. Physica D 68, 1993. 

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