Journal ArticleDOI
Moving contact lines and rivulet instabilities. Part 1. The static rivulet
TLDR
In this paper, a linearized stability theory for small, static rivulets whose contact (common or three-phase) lines (i) are fixed, (ii) move but have fixed contact angles or (iii) have contact angles smooth functions of contact-line speeds is presented.Abstract:
A rivulet is a narrow stream of liquid located on a solid surface and sharing a curved interface with the surrounding gas. Capillary instabilities are investigated by a linearized stability theory. The formulation is for small, static rivulets whose contact (common or three-phase) lines (i) are fixed, (ii) move but have fixed contact angles or (iii) move but have contact angles smooth functions of contact-line speeds. The linearized stability equations are converted to a disturbance kinetic-energy balance showing that the disturbance response exactly satisfies a damped linear harmonic-oscillator equation. The ‘damping coefficient’ contains the bulk viscous dissipation, the effect of slip along the solid and all dynamic effects that arise in contact-line condition (iii). The ‘spring constant’, whose sign determines stability or instability in the system, incorporates the interfacial area changes and is identical in cases (ii) and (iii). Thus, for small disturbances changes in contact angle with contact-line speed constitute a purely dissipative process. All the above results are independent of slip model at the liquid–solid interface as long as a certain integral inequality holds. Finally, sufficient conditions for stability are obtained in all cases (i), (ii) and (iii).read more
Citations
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Journal ArticleDOI
Controlling the breakup of toroidal liquid films on solid surfaces.
Andrew M. Edwards,Élfego Ruiz-Gutiérrez,Élfego Ruiz-Gutiérrez,Michael I. Newton,Glen McHale,Glen McHale,Gary G. Wells,Gary G. Wells,Rodrigo Ledesma-Aguilar,Rodrigo Ledesma-Aguilar,Carl V. Brown +10 more
TL;DR: In this article, the authors show how to control the static and dynamic wetting of a surface can lead to repeatable switching between a toroidal film of an electrically insulating liquid and patterns of droplets of well-defined dimensions confined to a ring geometry.
Journal ArticleDOI
Fluid oscillation in the Drop Tower
TL;DR: In this paper, an interfluid meniscus oscillates within a cylindrical container when suddenly released from earth's gravity and taken into a microgravity environment, and the oscillations damp out from energy dissipative mechanisms such as viscosity and interfacial friction.
Journal ArticleDOI
Linear waves on a surface of vertical rivulet
TL;DR: In this article, the wave equations of the vertical rivulet flow are derived on the basis of the weighed residual method, and the dispersion relations for plane waves are analyzed.
DissertationDOI
Free surface flows: coalescence, spreading and dewetting
TL;DR: In this article, different types of capillary free surface flows are studied, mainly the coalescence of viscous sessile drops, the Marangoni-spreading of locally deposited drops on a thin water film and the dynamic contact angle of the dewetting rim and the effect of external forcing on the rim velocity.
Journal ArticleDOI
Direct inkjet printing of mullite nano-ribbons from the sol–gel precursor
Yuzhe Hong,Zhaoxi Chen,Jincheng Lei,Zhao Zhang,Hai Xiao,Konstantin G. Kornev,Rajendra K. Bordia,Jianhua Tong,Fei Peng +8 more
TL;DR: In this article, a single-phase ink from the water-based mullite sol-gel precursor was developed that ensured inkjet printability and low-temperature formation of pure mullite phase.
References
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Book
Methods of Mathematical Physics
Richard Courant,David Hilbert +1 more
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.
Journal ArticleDOI
Methods of Mathematical Physics
TL;DR: In this paper, the authors present an algebraic extension of LINEAR TRANSFORMATIONS and QUADRATIC FORMS, and apply it to EIGEN-VARIATIONS.
Journal ArticleDOI
On the Spreading of Liquids on Solid Surfaces: Static and Dynamic Contact Lines
TL;DR: In this article, it is shown that the mutual interaction between the three materials in the immediate vicinity of a contact line can significantly affect the statics as well as the dynamics of an entire flow field.
Liquids on solid surfaces: static and dynamic contact lines
TL;DR: In this paper, it is shown that the mutual interaction between the three materials in the immediate vicinity of a contact line can significantly affect the statics as well as the dynamics of an entire flow field.