Maestrello and Linden 



the equation 



Ag(T|T) + l4g(T|7') = - 4Tr6(T-T') (3) 



and is given by Morse and Feshbach, Vol. II [ 1953] 



rmrx mirx mry niry 



cos cos cos \* cos ■■ ' 



a-c a-c bj. b^. 



(4) 



g(r/r') = - ^ Y Y CmCn 



cos krn„z cos kj^^(z' + d) z > z' 



cos k„„z' cos k„„(z+d) z < z' 



mn mn 



where 



and kg = w/cg where c^ is the speed of sound in the cavity of dimen- 

 sions ag, bj;, d. 



By applying Green's theorem, the integral equation for cp is 

 obtained, 



plate 

 Now using the boundary conditions, this becomes 



plate 

 The pressure p. is related to <p by 



P| = - i^Pc^ 



where Pc is the mass density of the fluid in the cavity. 



To compute Pg, it will be more convenient to operate with the 

 differential equation. Let the acoustic velocity potential in the flow 



486 



