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  United States 
• Authors:
  • Tao, L N
  • Gupta, D S
• Conference:
  • Midwest Mech Conference (13th)
• Publication Date: 1973

Media Info

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

Subject/Index Terms

• TRT Terms: Atmospheric pressure; Boundary layer flow; Pipe flow
• Old TRIS Terms: Pressure gradient
• Subject Areas: Design; Marine Transportation;

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