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The flow of a viscous fluid along a curving pipe of fixed radius is driven bya pressure gradient. For a generally curving pipe it is the fluid flux which isconstant along the pipe and so I correct fluid flow solutions of Dean (1928)and Topakoglu (1967) which assume constant pressure gradient. When the pipe isstraight, the fluid adopts the parabolic velocity profile of Poiseuille flow;the spread of any contaminant along the pipe is then described by the sheardispersion model of Taylor (1954) and its refinements by Mercer, Watt et al(1994,1996). However, two conflicting effects occur in a generally curvingpipe: viscosity skews the velocity profile which enhances the shear dispersion;whereas in faster flow centrifugal effects establish secondary flows thatreduce the shear dispersion. The two opposing effects cancel at a Reynoldsnumber of about 15. Interestingly, the torsion of the pipe seems to have verylittle effect upon the flow or the dispersion, the curvature is by far thedominant influence. Lastly, curvature and torsion in the fluid flowsignificantly enhance the upstream tails of concentration profiles inqualitative agreement with observations of dispersion in river flow

Shear Dispersion along Circular Pipes Is Affected by Bends, but the Torsion of the Pipe Is Negligible