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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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References

Nonino, C. , Del Giudice, S. , and Savino, S. , 2006, “ Temperature Dependent Viscosity Effects on Laminar Forced Convection in the Entrance Region of Straight Ducts,” Int. J. Heat Mass Transfer, 49(23–24), pp. 4469–4481. [CrossRef]
Del Giudice, S. , Savino, S. , and Nonino, C. , 2011, “ Entrance and Temperature Dependent Viscosity Effects on Laminar Forced Convection in Straight Ducts With Uniform Wall Heat Flux,” ASME J. Heat Transfer, 133(10), p. 101702. [CrossRef]
Del Giudice, S. , Nonino, C. , and Savino, S. , 2007, “ Effects of Viscous Dissipation and Temperature Dependent Viscosity in Thermally and Simultaneously Developing Laminar Flows in Microchannels,” Int. J. Heat Fluid Flow, 28(1), pp. 15–27. [CrossRef]
Del Giudice, S. , Savino, S. , and Nonino, C. , 2013, “ Temperature Dependent Viscosity and Thermal Conductivity Effects on the Laminar Forced Convection in Straight Microchannels,” ASME J. Heat Transfer, 135(10), p. 101003. [CrossRef]
Del Giudice, S. , Savino, S. , and Nonino, C. , 2014, “ Nusselt Number Correlations for Simultaneously Developing Laminar Duct Flows of Liquids With Temperature Dependent Properties,” J. Phys.: Conf. Ser., 547(1), p. 012041. [CrossRef]
Patankar, S. V. , and Spalding, D. B. , 1972, “ A Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows,” Int. J. Heat Mass Transfer, 15(10), pp. 1787–1806. [CrossRef]
Shah, R. K. , and London, A. L. , 1978, Laminar Flow Forced Convection in Ducts, Academic Press, New York.
Nonino, C. , 2003, “ A Simple Pressure Stabilization for a SIMPLE-Like Equal-Order FEM Algorithm,” Numer. Heat Transfer, Part B, 44(1), pp. 61–81. [CrossRef]
Nonino, C. , Del Giudice, S. , and Comini, G. , 1988, “ Laminar Forced Convection in Three-Dimensional Duct Flows,” Numer. Heat Transfer, 13(4), pp. 451–466. [CrossRef]

Figures

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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