Scholarlink

<p>The present study explores anisotropy driven regulation of viscous fingering in a lifting Hele Shaw cell, enabling deterministic square mesh formation. A multiport plate with 0.5&#xa0;mm source holes coupled with circumferential grooves of 1.5&#xa0;mm width was investigated under controlled lifting and airflow and interpreted using a Darcy Herschel–Bulkley framework. Under moderate lifting rates of 4 to 5&#xa0;mm per minute and a high-viscosity resin of approximately 1.57 × 10⁶ cP, the initially stochastic interface transitions into reproducible 5 × 5&#xa0;mm lattices, consistent with analytical predictions for a stable composite regime (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\varLambda = {C}_{a}^{*}/{B}_{n}\)</EquationSource> </InlineEquation>&#xa0;≈ 10⁻² to 10⁻¹). The measured finger-to-pitch ratio (w/<i>p&#xa0;</i> ≈ 0.22 to 0.25) closely matches model estimates, confirming the predictive linkage between gap dynamics and pressure-field anisotropy created by groove–hole coupling. Experiments further reveal fractal-like kinetics with a confined fractal dimension of about 1.75 ± 0.05, while higher lifting velocities or reduced viscosities induce morphological disorder due to elevated <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:{C}_{a}^{*}\)</EquationSource> </InlineEquation> and weakened tip shielding. Perfect mesh formation requires the combined effects of geometric anisotropy, which defines orthogonal pressure minima, and boundary-controlled air entry that homogenizes the pressure gradient. These findings establish a predictive, lithography-free framework for template-assisted microfluidic patterning and tuneable porous architectures guided by controlled interfacial anisotropy.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Geometric anisotropy driven control of viscous fingering for deterministic square-mesh formation in a lifting multi-port Hele Shaw cell

  • 期刊论文

  • 发表日期：

    2026年1月7日

查看全文
  • Sharad Rajaram Valvi,
  • Kiran Suresh Bhole

摘要

The present study explores anisotropy driven regulation of viscous fingering in a lifting Hele Shaw cell, enabling deterministic square mesh formation. A multiport plate with 0.5 mm source holes coupled with circumferential grooves of 1.5 mm width was investigated under controlled lifting and airflow and interpreted using a Darcy Herschel–Bulkley framework. Under moderate lifting rates of 4 to 5 mm per minute and a high-viscosity resin of approximately 1.57 × 10⁶ cP, the initially stochastic interface transitions into reproducible 5 × 5 mm lattices, consistent with analytical predictions for a stable composite regime ( \(\varLambda = {C}_{a}^{*}/{B}_{n}\)  ≈ 10⁻² to 10⁻¹). The measured finger-to-pitch ratio (w/p  ≈ 0.22 to 0.25) closely matches model estimates, confirming the predictive linkage between gap dynamics and pressure-field anisotropy created by groove–hole coupling. Experiments further reveal fractal-like kinetics with a confined fractal dimension of about 1.75 ± 0.05, while higher lifting velocities or reduced viscosities induce morphological disorder due to elevated \(\:{C}_{a}^{*}\) and weakened tip shielding. Perfect mesh formation requires the combined effects of geometric anisotropy, which defines orthogonal pressure minima, and boundary-controlled air entry that homogenizes the pressure gradient. These findings establish a predictive, lithography-free framework for template-assisted microfluidic patterning and tuneable porous architectures guided by controlled interfacial anisotropy.