Natural and Mixed Convection Along Slender Vertical Cylinders with Nonuniform Heating
Abstract
This thesis presents an analytical study of laminar convective heat transfer along vertical slender cylinders. Chapter 2 covers the case of variable surface heating conditions of the form 9 sub w(x) = ax to the nth power for natural convection. Results are presented for Pr = 0.1, 0.7, 7, and 100 and for n = 0.5, -0.25, 0, 0.25, and 0.5. It is found that as the curvature parameter Lambda increases the local heat transfer coefficient increases for the range of n investigated. The local wall shear stress decreases for a given location x with increasing curvature. It increases with increasing x for a constant radius cylinder with n < or = 0, but may decrease for n<0. It is also found that a higher value of n or Prandtl number resulted in a lower wall velocity gradient. However, as the curvature is increased, the effect of n and Pr on these values diminishes. Chapter 3 covers the entire range of buoyancy-assisted, mixed convection along a vertical slender cylinder for the case of variable wall temperature distribution. The buoyancy parameter chi is varied from zero for pure free convection to one for pure forced convection. It is found that for given values of Pr, n and chi, as the curvature parameter Lambda increase both the local wall shear stree and the local heat transfer coefficient increase. Higher values of n and Pr are found to lower the local wall shear stress and to raise the local Nusselt number, and the effect of n and Pr is found to lessen as the curvature parameter is increased.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 15, 1988
- Accession Number
- ADA197530
Entities
People
- Jeffrey J. Heckel