Shreyas Mandre Assistant Professor of Engineering

Brown Affiliations

Research Areas

scholarly work

S. Mandre, Book Review (Fluid Mechanics: A short Course for Physicists -- Gregory Falkovich), Pure Appl. Geophys., 170 489-490, 2013.

A. He, K. Nguyen, S. Mandre, Capillary interactions between nearby interfacial objects, Europhys. Lett., 102, 38001, 2013.

S. Mandre and M. P. Brenner, The mechanism of a splash on a dry solid surface, J. Fluid Mech., 690, 148-172, 2012.

Z. Wei, S. Mandre, L. Mahadevan, Branch with the furthest reach, Europhys. Lett., 97, 14005, 2012.

J. M. Kolinski, S. M. Rubinstein, S. Mandre, M. P. Brenner, D. A. Weitz, L. Mahadevan, Skating on a film of air: Drops impacting on a surface, Phys. Rev. Lett., 108, 074503, 2012.

T. M. Schneider, S. Mandre and M. P. Brenner, Algorithm for microfluidic assembly line, Phys. Rev. Lett., 106, 094503, 2011.

S. Mandre and L. Mahadevan, A generalized theory of viscous and inviscid flutter, Proceedings of the Royal Society A, 466 (2113), 141, 2010.

M. Mani , S. Mandre and M. P. Brenner, Events before droplet splashing on a solid surface, J. Fluid Mech., 647, 163-186, 2010.

S. Mandre, M. Mani and M. P. Brenner, Precursors to splashing of liquid droplets on a solid surface, Phys. Rev. Lett., 102 (13), 134502, 2009.

A. C. Rust, N. J. Balmforth & S. Mandre, The feasibility of generating low-frequency volcano seismicity by flow through a deformable channel, in Lane, S. J. & Gilbert, J. S. (Eds.), Fluid Motions in Volcanic Conduits: A Source of Seismic and Acoustic Signals, 307, 45-56, 2008.

J. C. Bird, S. Mandre and H. A. Stone, Short-Time Dynamics of Partial Wetting, Phys. Rev. Lett., 100 (23), 234501, 2008.

N. J. Balmforth, S. A. Ghadge, A. Kettapun and S. Mandre, Bounds on double diffusive convection, J. Fluid Mech., 569, 29-50, 2006.

X. P. Chen, S. Mandre and J. J. Feng, Partial coalescence between a drop and a liquid-liquid interface, Phys. Fluids, 18 (5): Art. No. 051705, 2006.

X. P. Chen, S. Mandre and J. J. Feng, An experimental study of the coalescence between a drop and an interface in Newtonian and polymeric liquids, Phys. Fluids, 18 (9): Art. No. 092103, 2006.

S. Lichter, A. Roxin, and S. Mandre, Mechanisms for liquid slip at solid surfaces, Phys. Rev. Lett., 93 (8):Art. No. 086001, 2004.

N. J. Balmforth and S. Mandre, Dynamics of roll waves, J. Fluid Mech., 514:1-33, 2004.

S. Ghosal and S. Mandre, A simple model illustrating the role of turbulence on phytoplankton blooms, J. Math. Bio., 46 (4):333-346, 2003.

S. Mandre, Effect of bottom topography on roll wave instabilities, In Proc. 2001 Geophysical Fluid Dynamics Summer Study Program, Woods Hole Oceanographic Institution, 2001.

research overview

Shreyas Mandre's research interests include:

Fluid structure interaction, interface-driven flows, environmental and ecological fluid mechanics, biomechanics, analytical and numerical solution of partial differential equations, optimization, etc.

research statement

We are a group of theorists interested in understanding problems involving mechanics, with application to a wide array of fields. Our goal is to develop simple but quantitatively accurate descriptions for classical phenomena in idealized problems drawing inspiration from energy, environment and biology. We use a combination of theoretical analysis, desktop computation and table-top experiments to obtain insight into these phenomena.

Our approach to research makes heavy use of approximations under the rigorous justification provided by asymptotics and perturbation methods. This approximation allows us to retain the essential physics underlying the phenomena, while ignoring extraneous effects. These simplified mathematical models are then solved using, sometimes custom designed, computational techniques. The process of developing and implementing the computational methods itself plays a central role in elucidating the physics, because we typically do not seek an all-purpose computational method, but one tuned towards the particular asymptotic regime under consideration.

See the lab website

Here is some media coverage:
Cheerios effect: In a bowl of breakfast cereal, principles of attraction on display

Droplet Splashing: Rain drops splash before they hit the ground.

funded research

Air Force Office of Scientific Research
Advanced Research Projects Agency - Energy
Human Frontier Science Program