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Effect of thermo-physical properties on turbulent film boiling

Einfluß thermophysikalischer Stoffwerte auf das turbulente Filmsieden

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Abstract

Turbulent film boiling from a vertical surface is theoretically investigated considering the properties as functions of the temperature. The proposed analytical model is tested making use of the experimental data available in the literature for liquid nitrogen. It is observed that a satisfactory agreement is found between the theory and the experimental data. A new correlation for the prediction of heat transfer coefficients under film boiling conditions is presented.

Zusammenfassung

Das turbulente Filmsieden an einer senkrechten Fläche wird unter Berücksichtigung temperaturabhängiger Stoffwerte theoretisch untersucht. Eine Überprüfung des vorgeschlagenen analytischen Modells erfolgt mit Hilfe von in der Literatur greifbaren experimentellen Daten für flüssigen Stickstoff, wobei befriedigende Übereinstimmung zwischen Theorie und Versuchsdaten festgestellt werden konnte. Ferner wird eine neue Korrelationsbeziehung für die Vorausberechnung der Wärmeübergangskoeffizienten unter Filmsiedebedingungen angegeben.

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Abbreviations

C p :

specific heat at constant pressure, KJ/Kg/K

g :

acceleration due to gravity, m/s2

Gr :

modified Grashof number,g(ϱ l-ϱs)L 3/(ϱ s/v 2s )

Gr x :

modified local Grashof number, (g (ϱ l − ϱ s )x 3/(ϱ s V 2 s )

h :

average heat transfer coefficient, W/m2/K

h fg :

latent heat of vaporisation, KJ/kg

k :

thermal conductivity, W/m/K

l :

length of the plate, m

Nu :

local Nusseltnumber, (hx/k s )

\(\overline {Nu} \) :

average Nusselt number, (hl/k s )

Pr :

Prandtl number, (µ s C p /k s )

q :

heat flux, W/m2

Ra :

modified Rayleigh number, (GrPr/S)

S :

heat capacity parameter, (C p T s /h fg )(ϕ −1)

T :

temperature, K

T * :

dimensionless temperature, (T − T s )/(T w −T s )

ΔT :

temperature difference, (T w −T s ),K

u :

velocity inx direction, m/s

u * :

shear velocity, (τ w /ϱ)0.5

u + :

dimensionless velocity, (u/u *)

v :

velocity normal to the direction of flow, m/s

x :

flow direction

X :

local distance

X * :

dimensionless local distance, (gx 3/v 2 s )1/3

y :

normal to the direction of flow

y + :

dimensionless distance normal to the direction of flow, (yu */vs )

π :

density, kg/m3

µ :

dynamic viscosity, kg/ms

v :

kinematic viscosity, m2/s

δ :

vapor boundary layer thickness, m

δ + :

dimensionless vapor boundary layer thickness, (δv */v s )

τ :

shear stress, N/m2

ϕ :

temperature ratio, (T w /T s )

ε m :

eddy diffusivity, m2/s

i :

interface

l :

liquid

m :

indices in Eq. (5)

m 1 :

indices in Eq. (6)

s :

vapor at saturation temperature

x :

local

w :

wall

References

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Authors and Affiliations

  1. Department of Mechanical Engineering, Andhra University, 530 003, Visakhapatnam, India

    P. K. Sarma

  2. Department of Chemical Engineering, Andhra University, 530 003, Visakhapatnam, India

    P. R. K. Prasad (Post-Graduate Student) &  V. Dharma Rao

  3. Department of Mechanical Engineering, Andhra University, 530 003, Visakhapatnam, India

    T. Subrahmanyam

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  1. P. K. Sarma
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  2. P. R. K. Prasad
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  3. V. Dharma Rao
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  4. T. Subrahmanyam
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Sarma, P.K., Prasad, P.R.K., Rao, V.D. et al. Effect of thermo-physical properties on turbulent film boiling. Warme- und Stoffubertragung 30, 83–88 (1994). https://doi.org/10.1007/BF00715014

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  • DOI: https://doi.org/10.1007/BF00715014

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