The CHNS model
As mentioned in the introduction, the evolution of binary fluids is described by the CHNS equations17,20
$${\partial }_{t}{{{{{{{\boldsymbol{u}}}}}}}}={{{{{{{\boldsymbol{u}}}}}}}}\times {{{{{{{\boldsymbol{\omega }}}}}}}}-\xi {{{{{{{\boldsymbol{Q}}}}}}}}({{{{{{{\boldsymbol{\nabla }}}}}}}}\cdot {{{{{{{\boldsymbol{Q}}}}}}}})-{{{{{{{\boldsymbol{\nabla }}}}}}}}P+\nu {\nabla }^{2}{{{{{{{\boldsymbol{u}}}}}}}}+{{{{{{{\boldsymbol{f}}}}}}}},$$
(1)
$${\partial }_{t}\phi =-{{{{{{{\boldsymbol{u}}}}}}}}\cdot…
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