Transient flow of an ideal incompressible liquid with a mobile boundary in a rectilinear channel

1975 ◽  
Vol 9 (3) ◽  
pp. 342-348
Author(s):  
S. V. Stebnovskii
Keyword(s):  
Incompressible Liquid ◽  
Transient Flow ◽  
Ideal Incompressible Liquid ◽  
Rectilinear Channel ◽  
Mobile Boundary

Note on the Smith-Stone theory of fish propulsion

1964 ◽  
Vol 280 (1382) ◽  
pp. 398-408 ◽  
Keyword(s):  
Incompressible Liquid ◽  
Velocity Potential ◽  
Present Note ◽  
Flexible Plate ◽  
Two Dimensional ◽  
Ideal Incompressible Liquid ◽  
Wake Effect ◽  
Fish Propulsion ◽  
Perturbation Velocity ◽  
Two Dimensional Flow

The present note extends the theory of fish propulsion by E. H. Smith & D. E. Stone, taking into account the wake effect which was not discussed in the original paper. The motion of a fish is simulated by a flexible plate of infinitesimal thickness, infinite span, and constant chord length, moving in the two-dimensional flow field of an ideal incompressible liquid. The perturbation velocity potential for the flexible plate is obtained by solving the Laplace equation in an elliptic cylindrical co-ordinate system, while the wake velocity potential follows from the application of a method which is due to Theodorsen. The results are shown to be identical with those derived previously by Siekmann. A simple example is given for illustration and results predicted by theory are compared with experimental data.

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