2010
DOI: 10.1007/s11630-010-0403-z
|View full text |Cite
|
Sign up to set email alerts
|

Numerical modeling of the solidification phase change in a pipe and evaluation of the effect of boundary conditions

Abstract: A numerical solution to a two-dimensional model of flow and transient heat transfer involving solidification in a pipe has been established. Where the temperature of pipe wall is below the freezing point of fluid, phase change of flowing fluid and the influence of different boundary condition, such as pipe wall temperature, initial temperature and inlet velocity has been taken into account. Also it has been investigated to elicit proper non-dimensional numbers to show the solidification proceeding results. Add… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

0
3
0

Year Published

2014
2014
2024
2024

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 16 publications
(3 citation statements)
references
References 10 publications
0
3
0
Order By: Relevance
“…6 Surface tension is approximated by the continuum surface force (CSF) model. 7 The discrete equations are solved by using the first order upwind discretization scheme and the PISO pressure-velocity coupling scheme.…”
Section: Nnumerical Numerical Results and Analysismentioning
confidence: 99%
“…6 Surface tension is approximated by the continuum surface force (CSF) model. 7 The discrete equations are solved by using the first order upwind discretization scheme and the PISO pressure-velocity coupling scheme.…”
Section: Nnumerical Numerical Results and Analysismentioning
confidence: 99%
“…Equation (4) represents the frictional dissipation of momentum in the MZ [30,31]. The enthalpy-porosity technique [32] is employed to trace the interface resulting from the phase change. Considering the thermal conductivity (κ) and volumetric heat source (S), the energy equation is written in terms of the enthalpy H (≡ h + H ) as:…”
Section: Property Empirical Relationmentioning
confidence: 99%
“…For isothermal phase change processes, the local liquid fraction occurringwhen the liquid changes to the solid-state is equal to zero if the temperature is lower than the melting temperature (T < T l ) else (T>T s ) it is equal to unity [51,55]. For non-isothermal case, there exists a mushy discontinuous zone where the liquid fraction varies from zero to unity and its ranges of temperature between that of liquid state and the solid-state [56][57][58][59][60][61][62][63][64][65][66][67][68]. It is observed that this discontinuity creates non-physical oscillations and instabilities during the solidification process, which needs to be specifically addressed for its elimination.…”
Section: Introductionmentioning
confidence: 99%