Exact solutions for thermally developing tube flow with variable wall heat flux

Journal Article · · International Communications in Heat and Mass Transfer; (United States)

DOI:https://doi.org/10.1016/0735-1933(94)90074-4· OSTI ID:6908584

Quaresma, J N.N.; Cotta, R M ^[1]

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1. Univ. Federal do Rio de Janeiro (Brazil). Mechanical Engineering Dept.

Forced convection within circular tubes, subjected to an axially variable wall heat flux, is analytically studied. The integral transform method is employed, in conjunction with a splitting-up procedure, to yield exact expressions for the temperature distributions and related Nusselt numbers along the thermal entry region. Two specific situations of practical interest are considered for illustrating the approach, involving both sinusoidal and exponential variations of the prescribed heat flux along the duct length, for laminar and turbulent flow. The convergence behavior of the proposed solutions is demonstrated and previously reported solutions are critically examined.

• OSTI ID: 6908584
• Journal Information: International Communications in Heat and Mass Transfer; (United States), Journal Name: International Communications in Heat and Mass Transfer; (United States) Vol. 21:5; ISSN 0735-1933; ISSN IHMTDL
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CONVECTION
DUCTS
ENERGY TRANSFER
FLUID FLOW
FORCED CONVECTION
HEAT TRANSFER
LAMINAR FLOW
MASS TRANSFER
PIPES
TUBES
TURBULENT FLOW