Analytical expression for effective thermal conductivity of superlattices

06.03.2015 • Views

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Analytical expression for effective thermal conductivity of superlattices

Analytical expression for effective thermal conductivity of superlattices

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Outline<br />

• Motivation<br />

• Introduction<br />

• Boundary resistance<br />

• Bulk <strong>conductivity</strong> modification<br />

• Results

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Outline • Motivation • Introduction • Boundary resistance • Bulk <strong>conductivity</strong> modification • Results

Motivation Obtain an analytical and simple <strong>expression</strong> to predict <strong>thermal</strong> <strong>conductivity</strong> <strong>for</strong> superlattice

Page 1: Analytical expression for effective
Page 5 and 6: Phonon Boltzmann equation 1/kBT Wav
Page 7 and 8: Small Phonons (Boltzmann eq approx)
Page 9 and 10: Different behaviours • Ballistic
Page 11 and 12: Transmissivity ( ) 2 cos cos cos co
Page 13 and 14: Mean Transmission Coefficient Γ =
Page 15 and 16: TBR R' = 4 π k 4 B 2 h ΓT 3 v 2 i
Page 17 and 18: Boltzmann equation J. Appl. Phys. 1
Page 19 and 20: Effective length L N −2 N −1 ef
Page 21 and 22: In plane κ IP = κ 1 L L 1 1 + +
Page 23 and 24: SL effective thermal conductivity J
Page 25: Thank you