An approximate three-dimensional solution for melting or freezing around a buried pipe beneath a free surface

Conference · Mon Dec 31 23:00:00 EST 1984

OSTI ID:5599368

Zhang, G P; Weinbaum, S; Jiji, L M

This paper presents a quasi-steady state approximation solution for the three dimensional melting or freezing around a fluid carrying pipe which is buried in a semi-infinite phase change medium (PCM). The two-dimensional quasi-steady approximation solution method previously developed by the authors, the virtual free surface technique, has been extended to three dimensions where axial thermal interaction between the moving fluid and PCM is considered. Of particular interest herein is the motion of the phase change interface and the time variation of the axial temperature distribution in the fluid. Due to the singularities of the differential equations along the pipe surface, an axisymmetric analytic solution is provided for the region near the pipe wall. Solutions are presented for several representative dimensionless burial depths of the pipe and initial conditions. The computational time to predict the three dimensional interface location up to 10 years is of the order of several minutes on an IBM 4341 computer.

• OSTI ID: 5599368
• Report Number(s): CONF-851125-
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
022000* -- Petroleum-- Transport
Handling
& Storage
03 NATURAL GAS
032000 -- Natural Gas-- Transport
Handling
& Storage
42 ENGINEERING
420205 -- Engineering-- Transport & Storage Facilities-- (1980-)
ABSTRACTS
ANALYTICAL SOLUTION
COMPUTER CALCULATIONS
COMPUTERS
DEPTH
DIFFERENTIAL EQUATIONS
DIMENSIONS
DOCUMENT TYPES
ENERGY SOURCES
EQUATIONS
FLOW MODELS
FLUID FLOW
FLUIDS
FOSSIL FUELS
FREEZING
FUEL GAS
FUELS
GAS FUELS
GASES
IBM COMPUTERS
LEADING ABSTRACT
MATHEMATICAL MODELS
MEETINGS
MELTING
NATURAL GAS
PETROLEUM
PHASE TRANSFORMATIONS
PIPELINES
SOILS
STEADY-STATE CONDITIONS
SURFACES
TEMPERATURE DISTRIBUTION
TIME DEPENDENCE
TRANSPORT