Kinetic theory and boundary conditions for flows of highly inelastic spheres. Quarterly progress report, April 1, 1995--June 30, 1995

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In the last quarter, we focused on steady, fully developed, gravity-driven flows of identical, smooth spheres down bumpy inclines, with flow depths greater than one particle diameter, solid fraction profiles everywhere less than .65, and dimensionless granular temperature T(y={beta}) at the top between 0 and 20. In this quarter, we continue the same parameter study by choosing other sets of values of r,{delta}, e, e{sub w}, and {phi}for which we know that at least one solution of the type described above may be maintained, and determine the complete range of T(y={beta}) (within O<T(y={beta}){le}10) for which such flows can be maintained.To ... continued below

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11 p.

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Richman, M. September 1, 1995.

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Description

In the last quarter, we focused on steady, fully developed, gravity-driven flows of identical, smooth spheres down bumpy inclines, with flow depths greater than one particle diameter, solid fraction profiles everywhere less than .65, and dimensionless granular temperature T(y={beta}) at the top between 0 and 20. In this quarter, we continue the same parameter study by choosing other sets of values of r,{delta}, e, e{sub w}, and {phi}for which we know that at least one solution of the type described above may be maintained, and determine the complete range of T(y={beta}) (within O<T(y={beta}){le}10) for which such flows can be maintained.To each value of T(y={beta}) in this range, there correspond values of mass hold-up (m{sub t}), mass flow rate (m), and depth {beta}. In addition, for each value of T(y={beta}) in this range, we can calculate the total fluctuation energy per unit area (E), the slip velocity (v) at the base, the velocity (U{sub top}) at the top, and the depth-averaged values of solid fraction, velocity, and granular temperature. In this manner, we thoroughly characterize all the steady, fully developed, gravity driven flows that are possible for prescribed sets of r, {delta}, e, e{sub w}, and {phi}. In this manner, we find that there are boundaries, flow particles, and inclinations for which the kinetic theory predicts that steady, fully developed flows can be maintained at all flow rates above a minimum value. These are qualitatively different from the results presented last quarter, in which maximum flow rates were determined for each case considered. The fact that it is possible to find circumstances under which there are no maximum flow rates that limits the occurrence of steady flows may be useful when in practice it is necessary to steadily transport extremely high volumes of granular materials.

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11 p.

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OSTI as DE95017235

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  • Other Information: PBD: [1995]

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  • Other: DE95017235
  • Report No.: DOE/PC/90185--T15
  • Grant Number: AC22-91PC90185
  • DOI: 10.2172/102338 | External Link
  • Office of Scientific & Technical Information Report Number: 102338
  • Archival Resource Key: ark:/67531/metadc623896

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  • September 1, 1995

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • Dec. 1, 2015, 4:39 p.m.

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Richman, M. Kinetic theory and boundary conditions for flows of highly inelastic spheres. Quarterly progress report, April 1, 1995--June 30, 1995, report, September 1, 1995; United States. (digital.library.unt.edu/ark:/67531/metadc623896/: accessed December 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.