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Heat and Mass Transfer

, 44:1549 | Cite as

Thermal analysis of thin layer boilover

  • Bulent KozanogluEmail author
  • Fabio Ferrero
  • Miguel Muñoz
  • Josep Arnaldos
  • Joaquim Casal
Original

Abstract

A mathematical model is developed to simulate the thin layer boilover phenomenon. This model takes into account convective currents as well as conduction and radiation absorption through the fuel layer and is resolved numerically employing a scheme of Runge–Kutta, combined with the numerical method of lines. Solutions of the model showed a good agreement with the experimental data, both from this work and by other authors, demonstrating the importance of the convective currents. The model provided velocities of these currents, of the same order of magnitude as the values reported in the technical literature. Thickness of the remaining fuel and the interface temperature are correctly calculated by the model, allowing the prediction of the time required for the boilover to start.

Keywords

Heat Flux Initial Thickness Convection Velocity Radiation Absorption Radiation Heat Flux 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

b

absorption coefficient through fuel (m−1)

bw

absorption coefficient through water (m−1)

cp

specific heat of fuel (J/kg K)

cpw

specific heat of water (J/kg K)

D

pool diameter (m)

h

thickness of the fuel layer (mm)

h0

initial thickness of the fuel layer (mm)

hr

thickness of the remaining fuel (mm)

Is

radiative heat flux (W/m2)

Isw

radiative heat flux reaching the water layer (W/m2)

Itot

total heat flux (W/m2)

k

thermal conductivity of fuel (W/mK)

kw

thermal conductivity of water (W/mK)

Lv

latent heat of fuel (J/kg)

\( \ifmmode\expandafter\dot\else\expandafter\.\fi{m} \)

combustion rate (kg/s m2)

T

fuel temperature (K)

Tf

temperature of flash point (K)

Tint

interface temperature (K)

To

ambient temperature (K)

Tw

water temperature (K)

t

time (s)

Va

convective current velocity (mm/s)

Vc

combustion velocity (mm/s)

z

vertical distance from the fuel–water interface (m)

Greek symbols

ρ

fuel density (kg/m3)

ρw

water density (kg/m3)

Notes

Acknowledgments

The authors acknowledge the funding from the Spanish Ministerio de Ciencia y Tecnología (Project no. PPQ2002-00572). One of the authors, Bulent Kozanoglu, acknowledges the funding from the Institució Catalana de Recerca i Estudis Avançats (ICREA).

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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  • Bulent Kozanoglu
    • 1
    • 3
    Email author
  • Fabio Ferrero
    • 2
  • Miguel Muñoz
    • 2
  • Josep Arnaldos
    • 2
  • Joaquim Casal
    • 2
  1. 1.Universidad de las AméricasPueblaMexico
  2. 2.Universitat Politècnica de CatalunyaBarcelonaSpain
  3. 3.Mechanical Engineering DepartmentCholula, PueblaMexico

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