1 Copyright © 2010 by ASME
Proceedings of the International Heat Transfer Conference
IHTC14
August 8-13, 2010, Washington, DC, USA
IHTC14-22897
HEAT TRANSFER FROM LIQUID NITROGEN FLOWS IN SMOOTH PIPES
Luigi De Giorgi
Politecnico di Torino
Turin, Italy
Volfango Bertola
*
Politecnico di Torino
Turin, Italy
Emilio Cafaro
Politecnico di Torino
Turin, Italy
Carlo Cima
Politecnico di Torino
Turin, Italy
Mario De Salve
Politecnico di Torino
Turin, Italy
Bruno Panella
Politecnico di Torino
Turin, Italy
*
Visiting Professor; on leave from the University of Edinburgh, UK
ABSTRACT
Convective heat transfer for subcooled liquid nitrogen in a
smooth horizontal pipe with internal sources is studied by
analytical and numerical methods. For high Reynolds numbers
the numerical results are in good agreement with standard heat
transfer correlations. At smaller Reynolds numbers (<10,000),
large circumferential and longitudinal temperature distributions
can observed. The effect of localized heat sources on the heat
transfer process is also investigated to simulate insulation
failures in cryogenic pipelines. Results show that the presence
of constant heat sources is detrimental to the heat transfer from
both laminar and turbulent flows.
INTRODUCTION
Heat transfer processes at cryogenic temperatures are of
great importance in many practical applications, in particular in
the aerospace industry [1,2]. An interesting perspective
application, which however has not received much attention so
far, consists in the transport of hydrogen in the liquid state over
long distances using twin-tubed pipelines with vacuum cavities
[3,4]. Unfortunately, the amount of experimental data on the
flow of liquefied gases (either single- or two-phase) at low
temperatures available in the open literature is limited. In
particular, safety issues make experimentations that involve the
use of liquid hydrogen extremely expensive, both in terms of
equipment and in terms of human resources.
A larger number of data has been obtained from
experiments on liquid nitrogen, which has a lighter burden of
technical issues to be addressed; however, most of them are
relative to micro- and mini-channels [5-7]. One of the issues
affecting experiments on larger tubes is thermal insulation of
the test section, which is also important during the initial chill-
down of the whole system to its working temperature [8,9]. In
the recent years, the need for a more in-depth knowledge of the
heat transfer mechanism in cryogenic flows has motivated a
number of computational works, which investigate convection
in subcooled liquid as well as flows with phase change [10-12].
The aim of the present work is to investigate convective
heat transfer from laminar and turbulent flows of sub-cooled
liquid nitrogen in a smooth pipe, with localized internal sources,
by analytical and numerical methods. Understanding the effect
of localized heat sources has a practical interest in designing
and operating cryogenic pipelines, where one can have
unwanted heat sources, for example, because of a local failure
of the pipe insulation, or a thermal bridge through one of the
pipeline supports [13].
Given constant fluid properties, thermal and hydraulic
fully-developed flow conditions, and negligible axial
conduction, an analytic expression of the dimensionless heat
transfer coefficient is derived from a generalized form of
Lyon’s integral, in the Reynolds number range 1000<100000.
Numerical simulations of laminar and turbulent flows of liquid
nitrogen in a horizontal pipe were performed using a CFD
commercial code (Fluent v6.3) to clarify heat transport
phenomena in the circumferential and longitudinal directions.
Convection heat transfer curves are obtained for different
heating densities of the internal heat source and flow velocities.