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/

Zendy Plus

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

Zendy Tools

Zendy Open

To most existing non-equilibrium theories, the modeling of non-isothermalprocesses was a hard task. Intrinsic difficulties involved the non-equilibriumtemperature, the coexistence of conserved energy and dissipative entropy, etc.In this paper, by taking the non-isothermal flow of nematic liquid crystals asa typical example, we illustrated that thermodynamically consistent models ineither vectorial or tensorial forms could be constructed within the frameworkof Conservation-Dissipation Formalism (CDF). And the classical isothermalEricksen-Leslie model and Qian-Sheng model were shown to be special cases ofour new vectorial and tensorial models in the isothermal, incompressible andstationary limit. Most importantly, from above examples, it was learnt thatmathematical modeling based on CDF could easily solve the issues relating withnon-isothermal situations in a systematic way. The first and second laws ofthermodynamics were satisfied simultaneously. The non-equilibrium temperaturewas defined self-consistently through the partial derivative of entropyfunction. Relaxation-type constitutive relations were constructed, which gaverise to the classical linear constitutive relations, like Newton's law andFourier's law, in stationary limits. Therefore, CDF was expected to have abroad scope of applications in soft matter physics, especially under thecomplicated situations, such as non-isothermal, compressible and nanoscalesystems.

Conservation-Dissipation Formalism for Soft Matter Physics: II. Application to Non-isothermal Nematic Liquid Crystals