Effect of diffuse phonon boundary scattering on heat flow

Jay Amrit; Konstantin Nemchenko; Tatiana Vikhtinskaya

doi:10.1063/5.0036935

Effect of diffuse phonon boundary scattering on heat flow

Journal of Applied Physics ◽

10.1063/5.0036935 ◽

2021 ◽

Vol 129 (8) ◽

pp. 085105

Author(s):

Jay Amrit ◽

Konstantin Nemchenko ◽

Tatiana Vikhtinskaya

Keyword(s):

Heat Flow ◽

Boundary Scattering

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Modelling of Thermal Rectification in Si and Ge Thin Films

Volume 8C: Heat Transfer and Thermal Engineering ◽

10.1115/imece2013-63613 ◽

2013 ◽

Author(s):

E. Chávez-Ángel ◽

C. M. Sotomayor Torres ◽

F. Alzina

Keyword(s):

Thin Films ◽

Thermal Conductivity ◽

Heat Flow ◽

Temperature Dependence ◽

Cross Section ◽

Impurity Concentration ◽

Boundary Scattering ◽

Bulk Materials ◽

Thermal Rectification ◽

Scattering Effects

In the present work we have studied an extension of the classical thermal rectification, arising in certain cases from the contact of two dissimilar bulk materials with different temperature dependence of the thermal conductivity, to the Si-Ge system when boundary scattering effects are taken into account. Moreover, the directionality of the in-plane heat flow in a Si plate can be achieved by tuning the thickness and the impurity concentration along the cross section of the plate. We have designed several potential structures with this function in mind and discussed the physics behind.

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HEAT FLOW IN DIELECTRIC MATERIALS IN THE BOUNDARY-SCATTERING LIMIT

Canadian Journal of Physics ◽

10.1139/p67-031 ◽

1967 ◽

Vol 45 (2) ◽

pp. 323-331 ◽

Cited By ~ 1

Author(s):

P. W. Matthews

Keyword(s):

Heat Flow ◽

Diffusion Equation ◽

Bulk Material ◽

Correction Term ◽

Mean Free Path ◽

Dielectric Materials ◽

Dielectric Medium ◽

Boundary Scattering ◽

High Frequencies ◽

Steady State Heat

The theory of Casimir (1938) for steady-state heat flow in the boundary-scattering limit for cylindrical samples is extended to include time-dependent effects. This shows that a term of the form (∂3T/∂x2∂t) is the first correction term which should be added to the usual thermal diffusion equation, the range of validity of the theory being restricted by the condition that the wavelength of the disturbance, [Formula: see text], where L is the mean free path of phonons in the bulk material and a is the radius of the cylinder. The dispersion relation is derived, and, as an example, dispersion curves are computed for liquid helium as the dielectric medium, contained in a tube of 1-cm radius. At high frequencies the velocity of the temperature wave is reduced below the value predicted by the diffusion equation.

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