Further results for laminar heat transfer in annular sector and circular sector ducts
- Univ. of Manitoba, Winnipeg (Canada)
- Wardrop Engineering, Winnipeg, Manitoba (Canada)
In a previous publication (Soliman, 1987), the laminar, fully developed, forced-convection flow in annular sector ducts was investigated theoretically assuming incompressible Newtonian fluids with constant properties and negligible axial conduction and viscous dissipation. Analytical (series) solutions were developed for the velocity distribution and the temperature distribution for the conduction of uniform heat input axially and uniform wall temperature circumferentially (the H1 conditions). From these solutions, it was possible to evaluate fRe and Nu{sub H1} for the whole geometric range, 0.05 {le} Re{sub 1} {le} 0.95 and 2.5 deg {le} {phi} {le} 175 deg. For thermal boundary condition of uniform heat input axially and circumferentially, known as the H2 condition, a least-squares matching technique was used, which was successful in producing results for Nu{sub H2} only for a portion of the geometric range ({phi} {le} 120 deg). The purpose of this note is to extend the results of Nu{sub H2} to the whole geometric range and to produce new results for the thermal condition of uniform wall temperature both axially and circumferentially (the T condition). A numerical (finite difference) approach was used in generating the present results, confirmed with a finite element code. Free convective effects are neglected in this analysis. These effects can be significant, particularly on heat transfer, at very low Reynolds numbers or very high Grashof numbers. Therefore, the present results may not be accurate for such conditions. Also, due to the assumption of constant properties, the present results may not be applicable to cases with very high temperature differences between the inlet and outlet of the ducts.
- OSTI ID:
- 5939520
- Journal Information:
- Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Vol. 111:4; ISSN 0022-1481
- Country of Publication:
- United States
- Language:
- English
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