Asymptotic analysis of the selective dip coating of power-law fluids

Asymptotic analysis of the selective dip coating of power-law fluids
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DOI:
10.1063/1.2842378
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发表时间:
2008-02
期刊:
影响因子:
4.6
通讯作者:
Naveen Tiwari;Jeffrey M. Davis
Naveen Tiwari;Jeffrey M. Davis
中科院分区:
工程技术2区
文献类型:
--
作者:
Naveen Tiwari;Jeffrey M. Davis

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对非牛顿幂律流体的化学微图案化表面上交替润湿和非润湿垂直条带的浸涂进行了分析。在小毛细管数和邦德数条件下,用渐近匹配法确定了沉积在O(10μm)条上的液膜厚度。横向限制流体的化学图案化引起自由表面的显著横向曲率。这种横向曲率沿着条带的流向变化对毛细管压力梯度提供了额外的贡献,这对于均匀表面是不存在的。因此,相对于牛顿流体,沉积的液体膜的厚度差明显小于均匀板或纤维。
The dip coating of a chemically micropatterned surface bearing alternating wetting and nonwetting vertical strips is analyzed for a non-Newtonian power-law fluid. Asymptotic matching is used to determine the thickness of liquid films deposited on the O(10μm) strips at small capillary and Bond numbers. The chemical patterning that confines the fluid laterally induces a significant transverse curvature of the free-surface. The streamwise variation in this transverse curvature along the strip provides an additional contribution to the capillary pressure gradient that is not present for uniform surfaces. Consequently, the difference in the thickness of the deposited liquid film relative to a Newtonian fluid is significantly less than for homogeneous plates or fibers.