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Sublimation of vertically oriented paradichlorobenzene cylinders in a natural convection environment

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Abstract

Paradichlorobenzene cylinders were cast, then suspended vertically and allowed to sublimate in air. Data on mass versus time were measured, and a sublimation rate was calculated. Three cylinders of different diameters were used: 1 inch (2.54 cm), 1.5 inch (3.81 cm), and 2 inch (5.08 cm). The length of all three cylinders was 10 in. (25.4 cm). Calculations indicate that the Schmidt number was constant. The Sherwood number ranged from 23 to 26, and Rayleigh numbers varied from 11 × 103 to 88 × 103. The objective of this study was to develop a correlation for determining the mass transfer coefficient of vertically suspended paradichlorobenzene cylinders in a natural convection environment. An equation relating Sherwood and Rayleigh numbers was derived.

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Abbreviations

A :

Surface area

C :

Concentration of paradichlorobenzene

D :

Characteristic dimension (diameter)

D AB :

Binary diffusion coefficient

g :

Acceleration of gravity

Gr:

Grashof number = ρ air gD 3(ρ v,s  − ρ v,∞ )/μ2

h m :

Overall mass transfer coefficient

k :

Thermal conductivity

M p :

Molecular mass of paradichlorobenzene

M a :

Molecular mass of air

\( \dot{m} \) :

Sublimation rate

N A :

Molar flux

p v :

Partial pressure of paradichlorobenzene

Ra:

Rayleigh number = Gr · Sc

Re :

Reynolds number = VD/ν

Sc:

Schmidt number = v/D AB

Sh:

Sherwood number = h m D/D AB

T :

Temperature

T m :

Mean or average temperature

T w :

Temperature of cylinder surface

V :

Velocity

β :

Volumetric thermal expansion coefficient

μ :

Viscosity of air

ν :

Kinematic viscosity

ρ :

Density of paradichlorobenzene vapor or of air

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General reference

  1. Janna WS (2000) Engineering heat transfer, 2nd edn. PWS Publishers, Boston

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Acknowledgments

The authors would like to thank Mr. Edward Dean for his assistance in debugging the computer code used in the data collection process.

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Authors and Affiliations

  1. U. S. Army Corps of Engineers, Memphis, TN, USA

    William B. Snapp

  2. University of Memphis, Memphis, TN, USA

    William Janna

Authors
  1. William B. Snapp
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  2. William Janna
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Corresponding author

Correspondence to William Janna.

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Snapp, W.B., Janna, W. Sublimation of vertically oriented paradichlorobenzene cylinders in a natural convection environment. Heat Mass Transfer 48, 1005–1010 (2012). https://doi.org/10.1007/s00231-011-0952-z

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