ON THE SOLUTION OF EQUATIONS DESCRIBING SMALL SCALE DEFORMATION

The equations describing the spreading of a small hot spot, or the deformation of a macromolecule, due to flow are examined; first, the exact two dimensional solutions are discussed, to obtain qualitative insight. Then, a two variable asymptotic expansion technique is used to obtain solutions to the unsteady, three dimensional problem. The statistical behavior of spot size, or molecule size, in turbulent flow is determined. The solution obtained for polymer expansion agrees well with a criterion for onset of polymer drag reduction. (Author)

• Supplemental Notes:
  • Revision of report dated 6 Feb 71. Availability: Pub. in Symposia Mathematica, v9 p315-334 1972.
• Corporate Authors:

  Pennsylvania State University, University Park

  Pennsylvania Transportation Institute, Transportation Research Building
  University Park, PA  United States  16802
• Authors:
  • Lumley, J L
• Publication Date: 1972-5-25

Media Info

• Pagination: 20 p.

Subject/Index Terms

• TRT Terms: Additives; Chemical properties; Deformation; Drag; Equations of motion; Flow; Fluid dynamics; Hydrodynamics; Molecular structure; Polymers; Reduction (Chemistry); Statistical analysis; Turbulence; Unsteady flow
• Candidate Terms: Turbulent flow
• Uncontrolled Terms: Fluid flow
• Old TRIS Terms: Drag reduction; Hot spots turbulence; Marcomolecules; Molecular properties; Polymer additives; Reduction
• Subject Areas: Data and Information Technology; Design; Hydraulics and Hydrology; Marine Transportation;

Filing Info

• Accession Number: 00048068
• Record Type: Publication
• Source Agency: National Technical Information Service
• Contract Numbers: N00014-67-A-0385-001
• Files: TRIS
• Created Date: Nov 14 1973 12:00AM