Low Peclet number heat transfer in a laminar tube flow subjected to axially varying wall heat flux

Journal Article · Mon Aug 01 04:00:00 EDT 1988 · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3250565· OSTI ID:5465523

Pearlstein, A J; Dempsey, B P ^[1]

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1. Univ. of Arizona, Tucson (USA)

Since the analysis of Schneider demonstrating the importance of axial conduction in the thermal entry region for low Peclet number flows, there have been several attempts to account for both axially conduction and axially varying wall boundary conditions in hydrodynamically developed laminar flows. Nagasue obtained a closed-form solution to representing the axial flux distribution with a power section. Solutions were found for monomial heating, with the total solution obtained by superposition. This representation is computationally impractical for sinusoidal, exponential, and other practically important axial flux distributions having slowly convergent power series. Several investigators have also used purely numerical methods to solve this problem. Unfortunately, these methods are inefficient due to the need to recompute the whole solution each time the axial heat flux distribution at the wall is changed, as in iterative design. Thus, there do not appear to be any general methods available for the solution of the important problem if hydrodynamically developed low Peclet number flow in a tube with axially varying wall heat flux. The authors have recently developed such a method. The purpose of the present work is to demonstrate its usefulness by presenting results for several wall heat flux distributions of interest.

• OSTI ID: 5465523
• Journal Information: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 110:3; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CALCULATION METHODS
ENERGY TRANSFER
FLUID FLOW
HEAT FLUX
HEAT TRANSFER
LAMINAR FLOW
TUBES