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Kudrolli, Arshad

Publications and source records attributed to Kudrolli, Arshad.

Bendability parameter for twisted ribbons to describe longitudinal wrinkling and delineate the near-threshold regime

We propose a dimensionless bendability parameter, ε -1 =[(h/W) 2 ⁢T -1 ] -1 , for wrinkling of thin, twisted ribbons with thickness h, width W, and tensional strain T. Bendability permits efficient collapse of data for wrinkle onset, wavelength, critical stress, and residual stress, demonstrating longitudinal wrinkling's primary dependence on this parameter. This parameter also allows us to distinguish the highly bendable range (ε -1 >20) from moderately bendable samples (ε -1 ϵ(0,20]). We identify scaling relations to describe longitudinal wrinkles that are valid across our entire set of simulated ribbons. When restricted to the highly bendable regime, simulations confirm theoretical near-threshold (NT) predictions for wrinkle onset and wavelength.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Internal erosion, particle transport, and channelization driven by fluid flow

The investigations summarized in this final technical report were accomplished under Department of Energy, Basic Energy Sciences research grant number DE-SC0010274 titled Internal erosion, particle transport, and channelization driven by fluid flow, $196,683 from 07/15/13 to 12/31/17, and $149,999 from 01/01/18 to 12/31/21. The work focused on developing physical models of fluid driven evolution of sediment beds as a result of dissolution and erosion of embedded particles that lead to channelization and fracture networks in porous rock. The grant work has resulted in seven peer reviewed publications, with another one currently under review, all of which are listed at the end of the report. These publications can be freely accessed through a technical library or directly from the publisher for a nominal fee. The main results obtained during the last grant cycle are described in brief in the following.

58 GEOSCIENCES↗

Alcove formation in dissolving cliffs driven by density inversion instability

We demonstrate conditions that give rise to cave-like features commonly found in dissolving cliffsides with a minimal two-phase physical model. Alcoves that are wider at the top and tapered at the bottom, with sharp-edged ceilings and sloping floors, are shown to develop on vertical solid surfaces dissolving in aqueous solvents. As evident from descending plumes, sufficiently large indentations evolve into alcoves as a result of the faster dissolution of the ceiling due to a solutal Rayleigh–Bénard density inversion instability. In contrast, defects of size below the boundary layer thickness set by the critical Rayleigh number smooth out, leading to stable planar interfaces. Furthermore, the ceiling recession rate and the alcove opening area evolution are shown to be given to first-order by the critical Rayleigh number. By tracking passive tracers in the fluid phase, we show that the alcoves are shaped by the detachment of the boundary layer flow and the appearance of a pinned vortex at the leading edge of the indentations. The attached boundary layer past the developing alcove is then found to lead to rounding of the other sides and the gradual sloping of the floor.

58 GEOSCIENCES↗