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The effect of bulk flow concentration on diffusion coupling between dendrites

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Abbreviations

C :

solute concentration (wt pct H2O)

Co :

solute concentration of inlet liquid (wt pct H2O)

D :

solutal diffusion coefficient (cm2/s)

E :

dimensionless pressure gradient

h :

half-spacing between dendrites (cm)

H :

dendrite surface curvature (1/cm)

P :

pressure (dyne/cm2)

Pe:

solutal Peclet number

r :

dendrite radius (cm)

rbot :

dendrite radius atY = -1 (cm)

rop :

dendrite radius atY = +1 (cm)

R:

ideal gas constant (J/mol K)

T :

temperature (K)

m:

liquid velocity (cm/s)

U :

dimensionless liquid velocity

U m :

mean liquid velocity (cm/s)

Vβ :

molar volume of solid phase (cm3/mol)

x :

distance along dendrite arm (cm)

X :

dimensionless distance along dendrite arm (cm)

y :

distance perpendicular to dendrite arm (cm)

Y :

dimensionless distance perpendicular to dendrite arm (cm)

α :

denotes liquid phase

v :

transport coetficient (cm2/s)

μ :

dynamic viscosity (g/cm s)

Φ:

dimensionless concentration

References

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Authors and Affiliations

  1. Center for Laser Applications, The University of Tennessee Space Institute, 37388, Tullahoma, TO

    J. A. Hopkins (Postdoctoral Research Associate and Adjunct Assistant Professor of Mechanical Engineering), M. H. McCay (Professor of Engineering Science and Mechanics) & T. D. McCay (Professor of Engineering Science and Mechanics)

Authors
  1. J. A. Hopkins
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  2. M. H. McCay
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  3. T. D. McCay
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Hopkins, J.A., McCay, M.H. & McCay, T.D. The effect of bulk flow concentration on diffusion coupling between dendrites. Metall Mater Trans A 27, 477–480 (1996). https://doi.org/10.1007/BF02648427

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