Hydrodynamic instabilities and coherent structures: Progress report, January 1, 1994--December 31, 1994

Technical Report · Thu Aug 01 04:00:00 EDT 1991

DOI:https://doi.org/10.2172/10105327· OSTI ID:10105327

Frenkel, A

The authors have derived a 3-dimensional dissipative-dispersive evolution equation for the film thickness for films flowing down inclined planes. They have also derived dissipative-dispersive evolution equations for 3-dimensional waves on films flowing down vertical cylinders. They have obtained and simulated numerically highly nonlinear evolution equations describing large-amplitude waves in core-annular flows. They have completed the numerical proof of negativity of the isotropic eddy viscosity for a sinusoidally oscillating triangular-eddy flow. Finally, they have developed an unusual generalization of Landau`s equation to describe the nonlinear evolution of certain (steady) periodic flows slightly above the onset of the (intermediate-wavelength) instability.

• Research Organization: Alabama Univ., University, AL (United States). Dept. of Mathematics
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG05-90ER14100
• OSTI ID: 10105327
• Report Number(s): DOE/ER/14100--T1; ON: DE95004213; BR: KC0401010/KC0401060
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400
ANNULAR SPACE
FILM FLOW
HEAT TRANSFER AND FLUID FLOW
HYDRODYNAMICS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PROGRESS REPORT
RESEARCH PROGRAMS
STEADY FLOW
THREE-DIMENSIONAL CALCULATIONS
VORTEX FLOW