ASSPIN Users' Manual - CAFE Foundation

0 angle between _ and 77)" blade surface point expressed in blade fixed coordinatesr/2 spanwise curvilinear coordinateA ¢1 + __.ln2 - 2M,_ cos0x/'A -_+ sin2 0A 0 _/Jtl2pcos20+(1-kIp'rpsin_/') 2/_i components of -_lt in direction of principal curvatures, i = 1,2z7 local inward unit geodesic normal to the curve given by tile intersectionof the surfaces k = 0 and f = 0P0 density of undisturbed fluido b length parameter along b' on f -- 0O"11 , 0"22 two components of tile tensor _l/'l - _1T source timeangle between F and edge of surface given by the intersection of thesurfaces k = 0 and f = 0_, f_i FXa7I';'1, h'2 local principal curvatures of the surface f = 0_rn, _t, _b local normal curvatures of the surface f = 0 in the direction of -_/It,/'1, and b', respectivelyA/_1cos 0 - 2_,I.X2cos 0 + 2_.lnA2observer position expressed in blade fixed coordinatesa_ angular velocity; ._ = ]a_ITHEORETICALFORMULATIONSSmall perturbations in fluid quantities due to the motion of a body through anotherwise quiescent, ideal fluid are governed by the equations of linearized acoustics.5