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Mathematical Modeling and Simulation of Biologically Inspired Hair Receptor Arrays in Laminar Unsteady Flow Separation

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Abstract
  • Bats possess arrays of distributed ow-sensitive hair-like mechanoreceptors on their dorsal and ventral wing surfaces. It is generally hypothesized that the hair sensor array provides air ow feedback during ight. Speci cally, the sensing of leading and trailing edge vortices that are shed during apping ight has been proposed. In this work, we consider the mechanics of exible hair-like structures for the time accurate measurement and visualization of hydrodynamic images associated with unsteady near surface ow phenomena. A nonlinear viscoelastic model of a hair-like structure coupled to an unsteady nonuniform ow environment is proposed. Writing the hair model in nondimensional form, we perform an order of magnitude analysis of the physical forces involved in the uid-structure hair response. Through the proper choice of hair material, we show how the time accurate measurement of near surface ow velocity may be obtained from hair tip displacement and resultant moment. Furthermore, we show how a surface mounted hair array may provide a time accurate hydrodynamic image of a laminar unsteady ow separation over a cylinder.
  • This is the publisher’s final pdf. The published article is copyrighted by Elsevier and can be found at: http://www.elsevier.com/
  • Keywords: low Reynolds number, bats, micro air vehicles, nite elements
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  • Dickinson, B., Singler, J., & Batten, B. (2012). Mathematical modeling and simulation of biologically inspired hair receptor arrays in laminar unsteady flow separation. Journal of Fluids and Structures, 29, 1-17. doi:10.1016/j.jfluidstructs.2011.12.010
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  • 29
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  • This research is supported in part by the Air Force Office of Scientific Research through grants FA9550-05-1-0041 and FA9550-07-1-0540.
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