DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click
HERE to register or log in.
Accession Number:
AD0275770
Title:
A STUDY OF THE DIFFERENTIAL EQUATIONS OF COUPLED VIBRATIONS AND FREE CONVECTION FROM A HEATED HORIZONTAL CYLINDER
Corporate Author:
MASSACHUSETTS INST OF TECH CAMBRIDGE
Report Date:
1961-12-01
Abstract:
The basic equations and the boundary conditions which govern the problem of coupled transverse vibrations and free convection from a heated horizontal cylinder are presented. By applying a method developed by C. C. Lin, Proc. 9th Inter. Congr. Appl. Mech., 139, 1959, it is shown 1 that the presence of harmonic oscillations modify the steady-flow solution only when pressure gradients are present 2 that the modifying forces have their most pronounced effect on the fluid closest to the surface and 3 that the product of a and the circular frequency of rotation af is a measure of the magnitude of the modifying forces. The use of the quantity af as a measure of the magnitude of the influence of vibrations on free convection agrees with experimental correlations. By transforming the differential equations into dimensionless form, it is shown that four dimensionless parameters are needed to fully describe the flow. A perturbation method is applied to one set of equations, and the zeroth-order solution is obtained. This zeroth-order solution, which corresponds to free convection, agrees with Hermanns analysis for a heated horizontal cylinder.
Supplementary Note:
Final technical rept. on Research on Aerodynamic Fields.
Pages:
0048
Distribution Statement:
Approved for public release; distribution is unlimited.
Contract Number:
AF 33(616)-6076
File Size:
1.20MB
