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Rheology dictated spreading regimes of a non-isothermal sessile drop

Published online by Cambridge University Press:  11 November 2022

Vishnu Teja Mantripragada Open the ORCID record for Vishnu Teja Mantripragada [Opens in a new window]  and
Antarip Poddar Open the ORCID record for Antarip Poddar [Opens in a new window]
Vishnu Teja Mantripragada
Affiliation:
Department of Fuel, Minerals and Metallurgical Engineering, Indian Institute of Technology (Indian School of Mines) Dhanbad, Jharkhand 826004, India
Antarip Poddar*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology (Indian School of Mines) Dhanbad, Jharkhand 826004, India
*
†Email address for correspondence: antarip@iitism.ac.in
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Abstract

In the present work, within the framework of thin film theory, we delineate the interaction between the interfacial dynamics of thermal Marangoni flow and non-Newtonian rheology by considering a spreading droplet over a non-isothermal substrate. The numerical simulations, performed at different equilibrium contact angles $(\theta _e)$, dimensionless thermocapillary strengths $(\beta )$ and shear-dependent viscosities $(n)$, reveal that the fluid rheology nonlinearly influences the mechanisms of disjoining pressure and Marangoni stress. Accordingly, three distinct spreading regimes for non-Newtonian drops arise. Results indicate that the Marangoni film regime, having an approximate linear drop shape, sustains at lower $\theta _e$, higher $\beta$ and $n$ ranges. Also, shear-thickening drops display an early onset of thermocapillary time scale and a steeper advancing front, while their shear-thinning counterparts retain a significant curvature for a much longer time. Contrastingly, the droplet regime is identified by fixed shape and uniform speed $(U)$ at higher $\theta _e$ and lower $(\beta$, $n)$ combinations. Here, an intricate interplay between $\beta$ and $n$ realizes a sharp increase in $U$ for shear thinning compared with its invariance for shear-thickening droplets. The transition regime appears as an intermediate regime between the other two and involves multiple ruptured droplets. In all the regimes, we observe slower (faster) spreading of shear-thinning (thickening) droplets than the Newtonian droplets. In addition, the variations in $n$ cause intense characteristic modulations to spreading attributes like droplet morphology and transient spreading behaviour, and also act as a switching mechanism between different spreading regimes. These unique results may be utilized for superior control of non-isothermal biofluid droplets in microfluidics.

JFM classification

Micro-/Nano-fluid dynamics: Microfluidics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 951 , 25 November 2022 , A42
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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