Measurement and numerical analysis of freezing in solutions enclosed in a small container

Ramachandra V. Devireddy, Perry H Leo, John S. Lowengrub, John C Bischof

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

The latent heat of fusion, L of the cryobiological media (a solute laden aqueous solution) is a crucial parameter in the cryopreservation process and has often been approximated to that of pure water (∼335 mJ/mg). This study experimentally determines the magnitude and dynamics of latent heat during freezing of 14 different pre-nucleated solute laden aqueous systems using a differential scanning calorimeter (DSC-Pyris 1). The latent heat of the solutions studied is found to be significantly less than that of pure water and is dependent on both the 'amount' and 'type' of solutes (or solids) in solution. DSC experiments are also performed at 1, 5 and 20 °C/min in five representative cryobiological media to determine the kinetics of ice crystallization. The total magnitude of the latent heat release, L is found to be independent of the cooling rate. However, the experimental data show that at a fixed temperature, the fraction of heat released at higher cooling rates (5 and 20 °C/min) is lower than that at 1 °C/min for all the solutions studied. We present a model to predict the experimentally measured behavior based on the full set of heat and mass transport equations during the freezing process in a DSC sample pan. Analysis of the parameters relevant to the transport processes reveals that heat transport occurs much more rapidly than mass transport. The model also reveals the important physical parameters controlling the mass transport at the freezing interface i.e., diffusion limited and further elucidates the measured temperature and time dependence of the latent heat release.

Original languageEnglish (US)
Pages (from-to)1915-1931
Number of pages17
JournalInternational Journal of Heat and Mass Transfer
Volume45
Issue number9
DOIs
StatePublished - Mar 4 2002

Fingerprint

Latent heat
latent heat
containers
Freezing
freezing
numerical analysis
Containers
Numerical analysis
solutes
heat
Mass transfer
cooling
heat of fusion
Cooling
Water
water
time dependence
calorimeters
Ice
Crystallization

Keywords

  • Biological media
  • Cryoprotective solutions and bound water
  • Differential scanning calorimetry
  • Phase change

Cite this

Measurement and numerical analysis of freezing in solutions enclosed in a small container. / Devireddy, Ramachandra V.; Leo, Perry H; Lowengrub, John S.; Bischof, John C.

In: International Journal of Heat and Mass Transfer, Vol. 45, No. 9, 04.03.2002, p. 1915-1931.

Research output: Contribution to journalArticle

@article{21c77cfcecd94d24b5b38527bb09e8fb,
title = "Measurement and numerical analysis of freezing in solutions enclosed in a small container",
abstract = "The latent heat of fusion, L of the cryobiological media (a solute laden aqueous solution) is a crucial parameter in the cryopreservation process and has often been approximated to that of pure water (∼335 mJ/mg). This study experimentally determines the magnitude and dynamics of latent heat during freezing of 14 different pre-nucleated solute laden aqueous systems using a differential scanning calorimeter (DSC-Pyris 1). The latent heat of the solutions studied is found to be significantly less than that of pure water and is dependent on both the 'amount' and 'type' of solutes (or solids) in solution. DSC experiments are also performed at 1, 5 and 20 °C/min in five representative cryobiological media to determine the kinetics of ice crystallization. The total magnitude of the latent heat release, L is found to be independent of the cooling rate. However, the experimental data show that at a fixed temperature, the fraction of heat released at higher cooling rates (5 and 20 °C/min) is lower than that at 1 °C/min for all the solutions studied. We present a model to predict the experimentally measured behavior based on the full set of heat and mass transport equations during the freezing process in a DSC sample pan. Analysis of the parameters relevant to the transport processes reveals that heat transport occurs much more rapidly than mass transport. The model also reveals the important physical parameters controlling the mass transport at the freezing interface i.e., diffusion limited and further elucidates the measured temperature and time dependence of the latent heat release.",
keywords = "Biological media, Cryoprotective solutions and bound water, Differential scanning calorimetry, Phase change",
author = "Devireddy, {Ramachandra V.} and Leo, {Perry H} and Lowengrub, {John S.} and Bischof, {John C}",
year = "2002",
month = "3",
day = "4",
doi = "10.1016/S0017-9310(01)00290-3",
language = "English (US)",
volume = "45",
pages = "1915--1931",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "9",

}

TY - JOUR

T1 - Measurement and numerical analysis of freezing in solutions enclosed in a small container

AU - Devireddy, Ramachandra V.

AU - Leo, Perry H

AU - Lowengrub, John S.

AU - Bischof, John C

PY - 2002/3/4

Y1 - 2002/3/4

N2 - The latent heat of fusion, L of the cryobiological media (a solute laden aqueous solution) is a crucial parameter in the cryopreservation process and has often been approximated to that of pure water (∼335 mJ/mg). This study experimentally determines the magnitude and dynamics of latent heat during freezing of 14 different pre-nucleated solute laden aqueous systems using a differential scanning calorimeter (DSC-Pyris 1). The latent heat of the solutions studied is found to be significantly less than that of pure water and is dependent on both the 'amount' and 'type' of solutes (or solids) in solution. DSC experiments are also performed at 1, 5 and 20 °C/min in five representative cryobiological media to determine the kinetics of ice crystallization. The total magnitude of the latent heat release, L is found to be independent of the cooling rate. However, the experimental data show that at a fixed temperature, the fraction of heat released at higher cooling rates (5 and 20 °C/min) is lower than that at 1 °C/min for all the solutions studied. We present a model to predict the experimentally measured behavior based on the full set of heat and mass transport equations during the freezing process in a DSC sample pan. Analysis of the parameters relevant to the transport processes reveals that heat transport occurs much more rapidly than mass transport. The model also reveals the important physical parameters controlling the mass transport at the freezing interface i.e., diffusion limited and further elucidates the measured temperature and time dependence of the latent heat release.

AB - The latent heat of fusion, L of the cryobiological media (a solute laden aqueous solution) is a crucial parameter in the cryopreservation process and has often been approximated to that of pure water (∼335 mJ/mg). This study experimentally determines the magnitude and dynamics of latent heat during freezing of 14 different pre-nucleated solute laden aqueous systems using a differential scanning calorimeter (DSC-Pyris 1). The latent heat of the solutions studied is found to be significantly less than that of pure water and is dependent on both the 'amount' and 'type' of solutes (or solids) in solution. DSC experiments are also performed at 1, 5 and 20 °C/min in five representative cryobiological media to determine the kinetics of ice crystallization. The total magnitude of the latent heat release, L is found to be independent of the cooling rate. However, the experimental data show that at a fixed temperature, the fraction of heat released at higher cooling rates (5 and 20 °C/min) is lower than that at 1 °C/min for all the solutions studied. We present a model to predict the experimentally measured behavior based on the full set of heat and mass transport equations during the freezing process in a DSC sample pan. Analysis of the parameters relevant to the transport processes reveals that heat transport occurs much more rapidly than mass transport. The model also reveals the important physical parameters controlling the mass transport at the freezing interface i.e., diffusion limited and further elucidates the measured temperature and time dependence of the latent heat release.

KW - Biological media

KW - Cryoprotective solutions and bound water

KW - Differential scanning calorimetry

KW - Phase change

UR - http://www.scopus.com/inward/record.url?scp=0037017604&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037017604&partnerID=8YFLogxK

U2 - 10.1016/S0017-9310(01)00290-3

DO - 10.1016/S0017-9310(01)00290-3

M3 - Article

AN - SCOPUS:0037017604

VL - 45

SP - 1915

EP - 1931

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 9

ER -