Abstract
Cryopreservation is the method of the preservation of biological tissue samples for future usages without incurring significant changes to functional properties. A two-dimensional numerical model is developed in the current work to study the role played by MgO nanoparticles in enhancing the freezing rate of the tissue during cryopreservation. The Pennes bio-heat model is the governing equation in this case. Finite volume method is employed to discretize the governing equation while the tri-diagonal matrix algorithm is used for solving the discretized algebraic equations for obtaining temperature distribution within the tissue. The movement of solid–liquid interface during freezing is tracked using the enthalpy-porosity method. Validation of this model is first done with the result of the existing literature. Then, the effect of MgO nanoparticles in enhancing the freezing rate is studied by increasing the volume fraction of the nanoparticles in the tissue-nanoparticle system up to 30%. Finally, a comparative study is made to analyse the performances of MgO and Fe3O4 nanoparticles in quickening the freezing process during cryopreservation.
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Abbreviations
- \( a_{P} \) :
-
Coefficient in discretized algebraic equation
- \( c_{p} \) :
-
Specific heat (J/kg K)
- \( g_{l} \) :
-
Liquid volume fraction inside a control volume
- H :
-
Total enthalpy (J/kg)
- \( h_{\text{sen}} \) :
-
Sensible heat (J/kg)
- k :
-
Thermal conductivity (W/m K)
- L :
-
Length of tissue (m)
- \( L_{\text{f}} \) :
-
Latent heat of fusion (J/kg)
- T :
-
Temperature (K)
- t :
-
Time (s)
- \( Q_{\text{m}} \) :
-
Metabolic heat generation (W/m3)
- ρ :
-
Density (kg/m3)
- ϕ :
-
Volume fraction of nanoparticles in tissue-nanoparticle system
- ω :
-
Blood perfusion rate (s−1)
- ΔH:
-
Latent heat (J/kg)
- ΔT:
-
Change in temperature (K)
- λ :
-
Under relaxation parameter
- ΔVP:
-
Control volume
- e:
-
Effective
- s:
-
Solid
- l:
-
Liquid
- f:
-
Freezing point
- init:
-
Initial
- b:
-
Blood
- nb:
-
Neighbouring nodes
- t:
-
Tissue
- p:
-
Nanoparticle
- n :
-
Iteration number
- 0:
-
Previous time step
References
Whittingham DG, Leibo SP, Mazur P (1972) Survival of mouse embryos frozen to −196 °C and −269 °C. Science 178:411–414
Yang J, Zhu Y, Xu T, Pan C, Cai N, Huang H, Zhang L (2016) The preservation of living cells with biocompatible micro-particles. Nanotechnology 27:265101-1-9
Rall WF, Fahy GM (1985) Ice-free cryopreservation of mouse embryos at −196 °C by vitrification. Nature 313(14):573–575
Ahmadikia H, Moradi A (2012) Non-Fourier phase change heat transfer in biological tissues during solidification. Heat Mass Transfer 4:1559–1568
Yi J, Zhao G (2014) Effect of hydroxyapatite nanoparticles on bio-transport phenomena in freezing HeLa cells. J Nanotechnol Eng Med 5:040904-1-7
Liu J, Yan JF, Deng ZS (2007) Nano-cryosurgery: a Basic way to enhance freezing treatment of tumour. In: 2007 ASME International Mechanical Engineering Congress and Exposition, IMECE 2007-43916 (2007)
He ZZ, Di DR, Liu J (2012) Enhancement of cryosurgery using biodegradable MgO nanoparticles. In: Proceedings of the ASME 3rd Micro/Nanoscale Heat & Mass Transfer International Conference, MNHMT 2012-75218
Hou Y, Sun Z, Rao W, Liu J (2018) Nanoparticle-mediated cryosurgery for tumor therapy. Nanomed Nanotechnol Biol Med 14:493–506
Brent AD, Voller VR, Reid KJ (1988) Enthalpy-porosity technique for modeling convection-diffusion phase change: Application to the melting of a pure metal. Numer Heat Transf 13(3):297–318
Patankar SV (1980) Numerical heat transfer and fluid flow, 4th edn. Hemisphere, London
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Sukumar, S., Kar, S.P. (2021). Enhancement of Cooling Rate Using Biodegradable MgO Nanoparticles During a Cryopreservation Process. In: Ramgopal, M., Rout, S.K., Sarangi, S.K. (eds) Advances in Air Conditioning and Refrigeration. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-6360-7_3
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DOI: https://doi.org/10.1007/978-981-15-6360-7_3
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