Accession Number:

AD0694053

Title:

BRANCHING SOLUTIONS OF THE BENARD PROBLEM,

Descriptive Note:

Corporate Author:

DEUTSCHE VERSUCHSANSTALT FUER LUFT- UND RAUMFAHRT E V FREIBURG-IM-BREISGAU (WEST GERMANY)

Personal Author(s):

• Goertler,H.
• Kirchgaessner,K.
• Sorger,P.

Report Date:

1967-07-01

Pagination or Media Count:

23.0

Abstract:

The convective motion in a horizontal fluid layer heated from below is investigated using Boussinesqs approximation. Applying the method of Schmidt-Lyapunov solutions with cellular structure are obtained as branching solutions of the nonlinear boundary-value problem. The number of branches and their behavior near the bifurcation point is determined for the following types of cellular flow rolls, squares and hexagonals. Author

Descriptors:

• *CONVECTION(HEAT TRANSFER)
• *BOUNDARY VALUE PROBLEMS
• HYDRODYNAMICS
• NONLINEAR SYSTEMS
• INCOMPRESSIBLE FLOW
• EQUATIONS OF MOTION
• BANACH SPACE
• FOURIER ANALYSIS
• INTEGRAL EQUATIONS
• SERIES(MATHEMATICS)
• THEOREMS
• STABILITY
• WEST GERMANY

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics
• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE