Shreyas Mandre

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Short-Time Dynamics of Partial Wetting

Physical Review Letters (2008)

James Bird Shreyas Mandre Howard A. Stone

When a liquid drop contacts a wettable surface, the liquid spreads over the solid to minimize the total surface energy. The first moments of spreading tend to be rapid. For example, a millimeter-sized water droplet will wet an area having the same diameter as the drop within a millisecond. For perfectly wetting systems, this spreading is inertially dominated. Here we identify that even in the presence of a contact line, the initial wetting is dominated by inertia rather than viscosity. We find that the spreading radius follows a power-law scaling in time where the exponent depends on the equilibrium contact angle. We propose a model, consistent with the experimental results, in which the surface spreading is regulated by the generation of capillary waves.

Millisecond

Wetting transition

Exponent

Capillary wave

10.1103/physrevlett.100.234501

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Citations (304)

Theory of the dynamics of evaporation-driven colloidal patterning

Bulletin of the American Physical Society (2014)

C. Nadir Kaplan Ning Wu Shreyas Mandre Joanna Aizenberg L. Mahadevan

Dynamics

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Citations (0)

Capillary interactions between nearby interfacial objects

EPL (Europhysics Letters) (2013)

Andong He Khoi Nguyen Shreyas Mandre

The affiliation of Khoi Nguyen and Shreyas Mandre was not duly modified and indicated as requested by the authors at the proofs stage. The correct affiliations are now given above. We deeply apologize to the authors for this oversight.

10.1209/0295-5075/102/39901

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Citations (2)

Precursors to Droplet Splashing on a Solid Surface

Bulletin of the American Physical Society (2008)

Shreyas Mandre Madhav Mani Michael P. Brenner

A high velocity impact between a liquid droplet and a solid surface produces a splash. Classical work traced the origin of the splash to a thin sheet of fluid ejected near the impact point. Mechanisms of sheet formation have heretofore relied on initial contact of the droplet and the surface. We demonstrate that, neglecting intermolecular forces between the liquid and the solid, the liquid does not contact the solid, and instead spreads on a very thin air film. The interface of the droplet develops a high curvature and emits capillary waves.

Solid surface

Capillary wave

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Citations (1)

Distribution of soap molecules in flowing soap films

Bulletin of the American Physical Society (2017)

Ildoo Kim Aakash Sane Shreyas Mandre

SOAP

Soap film

Soap bubble

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Dynamics and stability of running on rough terrains

Royal Society Open Science (2019)

Nihav Dhawale Shreyas Mandre Madhusudhan Venkadesan

Stability of running on rough terrain depends on the propagation of perturbations due to the ground. We consider stability within the sagittal plane and model the dynamics of running as a two-dimensional body with alternating aerial and stance phases. Stance is modelled as a passive, impulsive collision followed by an active, impulsive push-off that compensates for collisional losses. Such a runner has infinitely many strategies to maintain periodic gaits on flat ground. However, these strategies differ in how perturbations due to terrain unevenness are propagated. Instabilities manifest as tumbling (orientational instability) or failing to maintain a steady speed (translational instability). We find that open-loop strategies that avoid sensory feedback are sufficient to maintain stability on step-like terrains with piecewise flat surfaces that randomly vary in height. However, these open-loop runners lose orientational stability on rough terrains whose slope also varies randomly. The orientational instability is significantly mitigated by minimizing the tangential collision, which typically requires sensory information and anticipatory strategies such as leg retraction. By analysing the propagation of perturbations, we derive a single dimensionless parameter that governs stability. This parameter provides guidelines for the design and control of both biological and robotic runners.

Dimensionless quantity

Inclined plane

10.1098/rsos.181729

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Citations (7)

Optimization of energy harvesting efficiency of an oscillating hydrofoil: Sinusoidal and Non-sinusoidal trajectories

Bulletin of the American Physical Society (2014)

M. Coleman Miller Benjamin Strom Kenneth Breuer Shreyas Mandre

Non-sinusoidal waveform

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Citations (2)

Bounds on double-diffusive convection

Journal of Fluid Mechanics (2006)

N. J. Balmforth Shilpa Ghadge Atichart Kettapun Shreyas Mandre

We consider double-diffusive convection between two parallel plates and compute bounds on the flux of the unstably stratified species using the background method. The bound on the heat flux for Rayleigh–Bénard convection also serves as a bound on the double-diffusive problem (with the thermal Rayleigh number equal to that of the unstably stratified component). In order to incorporate a dependence of the bound on the stably stratified component, an additional constraint must be included, like that used by Joseph (Stability of Fluid Motion, 1976, Springer) to improve the energy stability analysis of this system. Our bound extends Joseph's result beyond his energy stability boundary. At large Rayleigh number, the bound is found to behave like are the Rayleigh numbers of the unstably and stably stratified components, respectively.

Double diffusive convection

Stratified flows

10.1017/s0022112006002230

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Citations (17)

Splash of a liquid drop on a dry solid surface

Bulletin of the American Physical Society (2015)

Shruti Mishra Shreyas Mandre Chris H. Rycroft Michael P. Brenner

Liquid drop

Solid surface

Drop Impact

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