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Technical Brief

Entrance and Temperature-Dependent Property Effects on Laminar Duct Flows of Liquids

[+] Author and Article Information
Stefano Del Giudice

Professor
Dipartimento Politecnico di Ingegneria e Architettura,
Università degli Studi di Udine,
Via delle Scienze 206,
Udine 33100, Italy
e-mail: stefano.delgiudice@uniud.it

Stefano Savino

Dipartimento Politecnico di Ingegneria e Architettura,
Università degli Studi di Udine,
Via delle Scienze 206,
Udine 33100, Italy
e-mail: stefano.savino@uniud.it

Carlo Nonino

Professor
Dipartimento Politecnico di Ingegneria e Architettura,
Università degli Studi di Udine,
Via delle Scienze 206,
Udine 33100, Italy
e-mail: carlo.nonino@uniud.it

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 28, 2016; final manuscript received October 13, 2016; published online December 1, 2016. Assoc. Editor: Amitabh Narain.

J. Heat Transfer 139(3), 034504 (Dec 01, 2016) (6 pages) Paper No: HT-16-1233; doi: 10.1115/1.4035016 History: Received April 28, 2016; Revised October 13, 2016

The results of a numerical investigation on the effects of the temperature dependence of viscosity and thermal conductivity in simultaneously developing laminar flows of liquids in straight ducts of constant cross sections are used to obtain new correlations for the axial distributions of the peripherally averaged local Nusselt number. Three different cross-sectional geometries are considered, corresponding to both axisymmetric (circular and concentric annular) and three-dimensional (square) ducts. Uniform heat flux boundary conditions are specified at the heated walls. Viscosity is assumed to vary with temperature according to an exponential relation, while a linear dependence of thermal conductivity on temperature is assumed. The other fluid properties are held constant. A superposition method is applied to obtain the values of the peripherally averaged local Nusselt number by separately considering the effects of temperature-dependent viscosity and those of temperature-dependent thermal conductivity.

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Grahic Jump Location
Fig. 1

Axial distributions of the ratio Nuμk/Nuc for simultaneously developing laminar flows in ducts of different cross sections with Pnμ=8, Pnk=−0.8,0, and 0.8, and different values of Pre: (a) circular tubes, (b) concentric annular ducts with ri/ro=0.75, and (c) square ducts

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