English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

International audienceWe review recent advances in the control of diffusion processes in thermodynamicsand life sciences through geometric transforms in the Fourier and Fick equations,which govern heat and mass diffusion, respectively. We propose to further encom-pass  transport  properties  in  the  transformed  equations,  whereby  the  temperatureis  governed  by  a  three-dimensional,  time-dependent,  anisotropic  heterogeneousconvection-diffusion  equation,  which  is  a  parabolic  partial  differential  equationcombining  the  diffusion  equation  and  the  advection  equation.  We  perform  twodimensional  finite  element  computations  for  cloaks,  concentrators  and  rotators  ofa complex shape in the transient regime. We precise that in contrast to invisibilitycloaks for waves, the temperature (or mass concentration) inside a diffusion cloakcrucially  depends  upon  time,  its  distance  from  the  source,  and  the  diffusivity  ofthe  invisibility  region.  However,  heat  (or  mass)  diffusion  outside  cloaks,  concen-trators  and  rotators  is  unaffected  by  their  presence,  whatever  their  shape  or  posi-tion.  Finally,  we  propose  simplified  designs  of  layered  cylindrical  and  sphericaldiffusion  cloaks  that  might  foster  experimental  efforts  in  thermal  and  biochem-ical  metamaterials

Transformed Fourier and Fick equations for the control of heat and mass diffusion