VARIATIONAL ANALYSIS OF THE FLOW DEVELOPMENT IN THE ENTRANCE REGION OF CIRCULAR TUBES AND PARALLEL-PLATE CHANNELS

Variational principles are obtained for the flow development in the entrance region of circular tubes and parallel-plate channels. Since the system is nonconservative, the variational formulations are not of the Hamiltonian type. They are constructed based upon the use of convolutions. By means of the Rayleigh-Ritz procedure specific approximate solutions are found, resulting in relatively simple calculations. Both velocity and pressure drop computations show excellent agreement with the exact solution of the linearized problem.

  • Corporate Authors:

    Midwest Mech Conference (13th)

    University of Pittsburgh
    Pittsburgh, PA  USA 
  • Authors:
    • Tao, L N
    • Gupta, D S
  • Conference:
  • Publication Date: 1973

Media Info

  • Features: References;
  • Pagination: p. 247-263

Subject/Index Terms

Filing Info

  • Accession Number: 00057318
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Report/Paper Numbers: Paper #19 Proceeding
  • Files: TRIS
  • Created Date: Oct 5 1974 12:00AM