An iterative regularization method for inverse phonon radiative transport problem in nanoscale thin films

Abstract

SUMMARYAn inverse phonon radiative transport problem with an alternative form of adjoint equation is solved in this study by using conjugate gradient method (CGM) to estimate the unknown boundary temperature distributions, based on the phonon intensity measurements. The CGM in dealing with the present integrodifferential governing equations is not as straightforward as for the normal differential equations; special treatments are needed to overcome the difficulties. Results obtained in this inverse analysis will be justified based on the numerical experiments where two different unknown temperature (or phonon intensity) distributions are to be determined. Finally, it is shown that accurate boundary temperatures can always be obtained with CGM.

Enhanced mechanical and electrical properties of carbon fiber/poly(ether ether ketone) laminates via inserting carbon nanotubes interleaves

“…The 0° electrical conductivity of CF/(CNTs9.09/PEI)/PEEK laminates was increased by 59.2%, compared with CF/PEEK laminates. The obviously enhancement of 0° electrical conductivity resulted from the superior electrical conductivity of CNTs, which could form an effective conductive pathway among laminates with the flow of PEI resin and facilitate the electron “pass‐through” the laminates …”

An inverse problem in estimating the relaxation time for nanoscale phonon radiative transfer problem

“…The accuracy of the numerical solution for the direct problem has been examined by Huang and Chen [22].…”

“…If the phonon intensity is measured, it reflects directly the changes of the phonon intensity at x = 0 and good estimation can be obtained. Recently, Huang and Chen [22] applied the CGM and phonon intensity measurements to estimate the boundary temperatures and obtained accurate inverse solutions. Based on the above statements the intensity measurements, instead of temperature measurements, are adopted in the present study.…”

Thermal and mechanical properties of homogeneous ternary nanocomposites of regioregular poly(3‐hexylthiophene)‐wrapped multiwalled carbon nanotube dispersed in thermoplastic polyurethane: Dynamic‐ and thermomechanical analysis

“…One strategy to overcome this difficulty is to wrap the CNT with polymer which renders them soluble in common solvents 21. Solution casting and melt‐mixing techniques22 have reached a stage suitable for the fabrication of polymer–nanotube composites for high performance and multifunctional components. Recently, direct polymerization of monomers in a CNT‐dispersed medium has received great attention as a route to prepare polymer‐wrapped CNTs 23,24…”