Maximum spreading of impacting shear-thinning and shear-thickening drops
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910899179094016 |
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| author | Mobaseri, Anahita Kumar, Satish Cheng, Xiang |
| author_facet | Mobaseri, Anahita Kumar, Satish Cheng, Xiang |
| contents | The maximum spreading of an impacting liquid drop is a key metric for characterizing the fundamental fluid process of drop impact. While extensively studied for Newtonian liquids, how far a non-Newtonian drop can spread upon impacting a solid substrate remains an open question. Here, by combining simulations, experiments, and scaling analyses, we establish a general framework for predicting the maximum spreading of drops of generalized Newtonian liquids, encompassing both shear-thinning and shear-thickening behaviors. Through an analysis of the energy budget at maximum spreading, we identify a characteristic shear rate that governs the viscous dissipation during drop impact. The finding allows us to map the spreading of non-Newtonian drops onto that of Newtonian drops, revealing the quantitative dependence of the maximum spreading diameter on various impact parameters and rheological properties of liquids. Our study addresses the long-standing challenge of understanding the impact dynamics of non-Newtonian drops, and provides valuable guidance for designing non-Newtonian liquids to achieve desired impact outcomes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximum spreading of impacting shear-thinning and shear-thickening drops Mobaseri, Anahita Kumar, Satish Cheng, Xiang Fluid Dynamics Soft Condensed Matter The maximum spreading of an impacting liquid drop is a key metric for characterizing the fundamental fluid process of drop impact. While extensively studied for Newtonian liquids, how far a non-Newtonian drop can spread upon impacting a solid substrate remains an open question. Here, by combining simulations, experiments, and scaling analyses, we establish a general framework for predicting the maximum spreading of drops of generalized Newtonian liquids, encompassing both shear-thinning and shear-thickening behaviors. Through an analysis of the energy budget at maximum spreading, we identify a characteristic shear rate that governs the viscous dissipation during drop impact. The finding allows us to map the spreading of non-Newtonian drops onto that of Newtonian drops, revealing the quantitative dependence of the maximum spreading diameter on various impact parameters and rheological properties of liquids. Our study addresses the long-standing challenge of understanding the impact dynamics of non-Newtonian drops, and provides valuable guidance for designing non-Newtonian liquids to achieve desired impact outcomes. |
| title | Maximum spreading of impacting shear-thinning and shear-thickening drops |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.23555 |