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SUMMARY:The high-speed submerged hydrofoil - Ted Johnson (University Colle
 ge London)
DTSTART:20230727T133000Z
DTEND:20230727T140000Z
UID:TALK202813@talks.cam.ac.uk
DESCRIPTION:This talk discusses\, in the limit of large Froude number\, a 
 closed-form\, analytical solutionfor steady\, two-dimensional\, inviscid\,
  free-surface attached flow over a submerged planarhydrofoil for arbitrary
  angles of attack and depths of submergence. The doubly connectedflow doma
 in is conformally mapped to a concentric annulus in an auxiliary plane.The
  complex flow potential and its derivative\, the complex velocity\, are ob
 tained inthe auxiliary plane by considering their form at known special po
 ints in the flow\, andthe required conformal mapping is determined by expl
 icit integration. The four realsolution parameters are determined as the s
 imultaneous roots of four real nonlinearalgebraic equations arising from t
 he flow normalisation. The explicit form allows accurateevaluation of vari
 ous flow quantities\, including the lift on the foil\, and these are relat
 ed tothe large-Froude-number results in recent numerical solutions. &nbsp\
 ;J.S. Marshall and E.R. Johnson
LOCATION:Seminar Room 1\, Newton Institute
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