Erratum: “Approximate Equations for Long Nonlinear Waves on a Viscous Fluid”

1978 ◽  
Vol 44 (6) ◽  
pp. 2003-2003
Author(s):  
Jeffrey Topper ◽  
Takuji Kawahara
Keyword(s):  
Viscous Fluid ◽  
Nonlinear Waves ◽  
Approximate Equations

The forces on a body moving through a viscous fluid

1992 ◽  
Vol 437 (1899) ◽  
pp. 185-193 ◽  
Keyword(s):  
Flow Field ◽  
Viscous Fluid ◽  
Arbitrary Shape ◽  
Stokes Equations ◽  
The Body ◽  
Three Dimensions ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Explicit Formulae ◽  
Approximate Equations

The forces on a body moving through a viscous fluid are related to the asymptotic flow field at large distances from the body and can be deduced therefrom. Explicit formulae are derived for the force and couple in terms of the parameters defining the asymptotic flow field. The form of these results remains unchanged for a body of arbitrary shape moving in two or three dimensions, and for a body rotating as well as translating, provided the flow is steady relative to an appropriate set of axes. They are also applicable when the Navier–Stokes equations are replaced by approximate equations, as in the work of Stokes and Oseen.

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