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A naphthalene sublimation study on heat/mass transfer for flow over a flat plate

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Abstract

It is important to completely understand heat/mass transfer from a flat plate because it is a basic element of heat/mass transfer. In the present study, local heat/mass transfer coefficient is obtained for two flow conditions to investigate the effect of boundary layer using the naphthalene sublimation technique. Obtained local heat/mass transfer coefficient is converted to dimensionless parameters such as Sherwood number, Stanton number and Colburnj-factor. These also are compared with correlations of laminar and turbulent heat/mass transfer from a flat plate. According to experimental results, local Sherwood number and local Stanton number are in much better agreement with the correlation of turbulent region rather than laminar region, which means analogy between heat/mass transfer and momentum transfer is more suitable for turbulent boundary layer. But average Sherwood number and average Colburnj-factor representing analogy between heat/mass transfer and momentum transfer are consistent with the correlation of laminar boundary layer as well as turbulent boundary layer.

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Abbreviations

Cf :

Skin friction coefficient, (dimensionless)

Cf,l :

Average skin friction coefficient at x=L, (dimensionless)

Cf,x :

Local skin friction coefficient, (dimensionless)

Diff :

Mass diffusion coefficient of naphthalene in the air, (m2/sec)

h:

Heat transfer coefficient, (W/m2k)

hm :

Mass transfer coefficient, (m/sec)

jH :

Colburn j factor for heat transfer

jm :

Colburn j factor for mass transfer

L:

Distance from leading edge to last measured point location in flow direction, (m)

Nu:

Nusselt number, (dimensionless)

Pv,w :

Vapor pressure of naphthalene, (Pa)

Pr:

Prandtl number, (dimensionless)

Rex :

Reynolds number based on distance from leading edge, (dimensionless)

ReL :

Reynolds number at x = L

ReL=2oomm :

Reynolds number based on distance from leading edge to x=200 mm

Sc:

Schmidt number, (dimensionless)

Sh:

Sherwood number, (dimensionless)

ShL :

average Sherwood number at x=L (dimensionless)

Shx :

Sherwood number based on distance from the leading edge (dimensionless)

St:

Stanton number for heat transfer, (dimensionless)

Stm :

Stanton number for mass transfer, (dimensionless)

Stx :

Stanton number for heat transfer based on the distance from the leading edge,(dimensionless)

Stm,x :

Stanton number for mass transfer based on the distance from the leading edge (dimensionless)

T:

Temperature, (K)

Δt:

Sublimation depth, (m)

u :

Free stream air velocity, (m/s)

δ:

Momentum boundary layer thickness

δM :

Mass concentration boundary layer thickness

δT :

Thermal boundary layer thickness

ρs :

Density of solid naphthalene, (kg/m3)

δv,w :

Density of naphthalene vapor, (kg/m3)

Δτ:

Run time in wind tunnel, (sec)

References

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Correspondence to Seong-Yeon Yoo.

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Park, JH., Yoo, SY. A naphthalene sublimation study on heat/mass transfer for flow over a flat plate. KSME International Journal 18, 1258–1266 (2004). https://doi.org/10.1007/BF02983300

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  • DOI: https://doi.org/10.1007/BF02983300

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