THE AXISYMMETRIC FREE-CONVECTION HEAT TRANSFER ALONG A VERTICAL THIN CYLINDER WITH CONSTANT SURFACE TEMPERATURE

Technical Report · Tue Jan 01 04:00:00 EST 1963

DOI:https://doi.org/10.2172/4750107· OSTI ID:4750107

Viskanta, R.

Laminar free-convection flow produced by a heated, vertical, circular cylinder for which the temperature at the outer surface of the cylinder is assumed to be uniform is analyzed. The solution of the boundary-layer equations was obtained by the perturbation method of Sparrow and Gregg, which is valid only for small values of the axial distance parameter xi ; and the integral method of Hama et al., for large values of the parameter xi . Heat-transfer results were calculated for Prandtl numbers (Pr) of 100, the Nusselt numbers (Nu) for the cylinder were higher than those for the flat plate, and this difference increased as Pr decreased. It was also found that the perturbation method of solution of the free-convection boundary-layer equations becomes useless for small values of Pr because of the slow convergence of the series. The results obtained by the integral method were in good agreement with those calculated by the perturbation method for Pr approximately 1 and 0.1 < xi < 1 only; they deviated considerably for smaller values of xi . (auth)

• Research Organization: Argonne National Lab., Ill.
• DOE Contract Number: W-31109-ENG-38
• NSA Number: NSA-17-014446
• OSTI ID: 4750107
• Report Number(s): ANL-6660
• Country of Publication: United States
• Language: English

Related Subjects

BIRDS
CONVECTION
CYLINDERS
DIFFERENTIAL EQUATIONS
ENGINEERING AND EQUIPMENT
EQUATIONS
ERRORS
FILMS
FLUID FLOW
HEAT TRANSFER
INTEGRALS
NUSSELT NUMBER
PERTURBATION THEORY
PLATES
PRANDTL NUMBER
SPARROWS
SURFACES
TEMPERATURE
THERMODYNAMICS
TURBULENCE