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Volume 995 - 25 September 2024

Journal of Fluid Mechanics Volume 995 - Issue -
On the cover
Cover image:

doi:10.1017/jfm.2024.653 Reynoso et al. Self-similarity and the direct (enstrophy) cascade in forced two-dimensional fluid turbulence

Contents

Page 2 of 2

JFM Papers

  • Hydraulic fractures of the cusp shape in a Hele-Shaw cell

  • Zhong Zheng
  • Published online by Cambridge University Press:
    23 September 2024, A17
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  • We study the dynamics of hydraulic fracturing of an elastic solid in a Hele-Shaw cell. Compared with hydraulic fractures in an infinite elastic bulk, the viscous resistance comes mainly from the drag by the two parallel plates that forms the Hele-Shaw cell rather than by the fluid–solid interface. Such a feature leads to a different nonlinear differential–integral system that describes the coupled evolution of the fracture shape and pressure field. Our theory leads to hydraulic fractures of cusp shapes in the neighbourhood of the fracture tip, which is consistent with recent experimental observations. Accordingly, there exists no pressure singularity at the location of the fracture tip, which is also fundamentally different from our previous understandings of hydraulic fracturing of elastic solids.

Corrigendum

  • Spontaneous locomotion of a symmetric squirmer – CORRIGENDUM

  • Richard Cobos, Aditya S. Khair, Ory Schnitzer
  • Published online by Cambridge University Press:
    23 September 2024, E1
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Front Cover (OFC, IFC) and matter

  • FLM volume 995 Cover and Front matter

  • Published online by Cambridge University Press:
    08 October 2024, p. f1
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