Longitudinal flow in superhydrophobic channels with partially invaded grooves
نویسندگان
چکیده
Abstract Analytical expressions are derived for the longitudinal flow in a superhydrophobic microchannel where flat menisci Cassie state have partially invaded grooves between no-slip blades. Using these solutions, effective slip lengths computed and compared with recent analytical results unbounded shear over same class of surfaces. Expressions first-order corrections to when weakly curved also derived. A mathematical connection channel flows still pinned tops pillars is made, resulting novel those solutions too.
منابع مشابه
Anisotropic flow in striped superhydrophobic channels.
We report results of dissipative particle dynamics simulations and develop a semi-analytical theory of an anisotropic flow in a parallel-plate channel with two superhydrophobic striped walls. Our approach is valid for any local slip at the gas sectors and an arbitrary distance between the plates, ranging from a thick to a thin channel. It allows us to optimize area fractions, slip lengths, chan...
متن کاملTransverse flow in thin superhydrophobic channels.
We provide some general theoretical results to guide the optimization of transverse hydrodynamic phenomena in superhydrophobic channels. Our focus is on the canonical micro- and nanofluidic geometry of a parallel-plate channel with an arbitrary two-component (low-slip and high-slip) coarse texture, varying on scales larger than the channel thickness. By analyzing rigorous bounds on the permeabi...
متن کاملFlow inside Micro-Channel Bounded by Superhydrophobic Surface with Eccentric Micro-Grooves
The superhydrophobic surface is widely used to reduce friction for the flow inside micro-channel and can be used to control/manipulate fluid, cells and even proteins in lab-on-chip. Fabricating micro grooves on hydrophobic surfaces is a common method to obtain such superhydrophobic surface. This study utilized the numerical method to investigate the effect of eccentric micro-grooves on the fric...
متن کاملLongitudinal Conduction in Cross Flow Heat Exchanger with Condensation
The deterioration of the performance of a cross flow heat exchanger with condensation due to the longitudinal conduction was investigated. For a relatively small change of wall temperature along the flow directions which was shown to be common in many applications, the energy equations were solved numerically. An iterative method was used to solve the resulting equations of the finite differenc...
متن کاملTensorial slip of superhydrophobic channels.
We describe a generalization of the tensorial slip boundary condition, originally justified for a thick (compared to texture period) channel, to any channel thickness. The eigenvalues of the effective slip-length tensor, however, in general case become dependent on the gap and cannot be viewed as a local property of the surface, being a global characteristic of the channel. To illustrate the us...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Engineering Mathematics
سال: 2022
ISSN: ['1573-2703', '0022-0833']
DOI: https://doi.org/10.1007/s10665-022-10240-9