. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. 1908.] Groups of Waves in Dispersive Media, etc. Table II. 424 n. ^ma- 'riinc- ^mcjhnia' 5 lt 35 2-3 10 10-8 28-6 2-6 15 9 25 2-7 20 7-7 23 3 50 5 17 3-4 100 3-6 13-6 3-8 ^.y/ia â n 100 65 't5 £5 Fig. 6. § 14. Point Impulse for Different Media. Consider a point impulse moving with uniform velocity c over the surface of a dispersive medium for which IT and V are respectively the group- and wave-velocity for a value k of 27r/A,.. Let tlie disturbance from the impulse when in the neighbo
. The collected papers of Sir Thomas Havelock on hydrodynamics. Ship resistance; Water waves; Hydrodynamics. 1908.] Groups of Waves in Dispersive Media, etc. Table II. 424 n. ^ma- 'riinc- ^mcjhnia' 5 lt 35 2-3 10 10-8 28-6 2-6 15 9 25 2-7 20 7-7 23 3 50 5 17 3-4 100 3-6 13-6 3-8 ^.y/ia â n 100 65 't5 £5 Fig. 6. § 14. Point Impulse for Different Media. Consider a point impulse moving with uniform velocity c over the surface of a dispersive medium for which IT and V are respectively the group- and wave-velocity for a value k of 27r/A,.. Let tlie disturbance from the impulse when in the neighbourhood of a point A combine so as to produce waves k at P at the present moment when the impulse is at 0. Then the problem of finding the possible persistent wave systems is contained in the equations ^=E, ccos^ = V; (101) AO c that is, in {m^ â 2cuwQ,osa + chi?)^ltt = '\J, (102) c (cu â m cos a)l{Ts^ â 2cum cos a-f-c^it^)^" = V. (103) The wave pattern depends upon the character of the positive roots of these equations for cit, and k ; each such value of cu defines a wave system 27. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Havelock, Thomas, Sir, 1877-. Washington, Office of Naval Research, Dept. of the Navy; for sale by the Superintendent of Documents, U. S. Govt. Print. Off
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