The Torque and Turbulent Boundary Layer of Rotating Disks with Smooth and Rough Surfaces, and in Drag-Reducing Polymer Solutions

Abstract

The resisting torque of disks rotating in an unbounded fluid is analyzed on the basis of three-dimensional boundary-layer theory. Smooth and rough surfaces in ordinary fluids and in drag-reducing polymer solutions are considered. A general logarithmic relation is derived for the torque as a function of Reynolds number for arbitrary roughness and arbitrary drag reduction. Special formulas are obtained for smooth surfaces, fully rough surfaces, polymer solutions with a linear logarithmic drag-reduction characterization, and polymer solutions with maximum drag reduction. Relations are also obtained for boundary-layer parameters such as thickness, wall shearing stress, etc.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0743053

Entities

People

  • Paul S. Granville

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Drag
  • Drag Reduction
  • Experimental Data
  • Fluid Dynamics
  • Fluid Mechanics
  • Hydrodynamics
  • Mechanics
  • Radial Velocity
  • Reynolds Number
  • Shear Stresses
  • Skin Friction
  • Three Dimensional
  • Turbulent Boundary Layer
  • Turbulent Flow

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.