dc.contributor.author |
Myers, T.G. |
dc.contributor.author |
MacDevette, M.M. |
dc.contributor.author |
Font, F. |
dc.date.accessioned |
2020-10-14T07:28:31Z |
dc.date.available |
2020-10-14T07:28:31Z |
dc.date.issued |
2014-01-01 |
dc.identifier.uri |
http://hdl.handle.net/2072/377528 |
dc.format.extent |
16 p. |
dc.language.iso |
eng |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.source |
RECERCAT (Dipòsit de la Recerca de Catalunya) |
dc.subject.other |
Matemàtiques |
dc.title |
Continuum mathematics at the nanoscale |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
51 - Matemàtiques |
dc.embargo.terms |
cap |
dc.rights.accessLevel |
info:eu-repo/semantics/openAccess |
dc.description.abstract |
In this paper we discuss three examples where continuum theory may be applied to describe nanoscale phenomena: \begin{enumerate} \item[1.] Enhanced flow in carbon nanotubes (CNTs) -- This model shows that the experimentally observed enhancement can be explained using standard flow equations but with a depletion layer between the liquid and solid interfaces. \item[2.] Nanoparticle melting -- Nanoparticles often exhibit a sharp increase in melting rate as the size decreases. A mathematical model will be presented which predicts this phenomena. \item[3.] Nanofluids -- Experimental results concerning the remarkable heat transfer characteristics of nanofluids are at times contradictory. We develop a model for the thermal conductivity of a nanofluid, which provides much higher predictions than the standard Maxwell model and a better match to data. \end{enumerate} |