ISSN:
1435-1528
Keywords:
Stagnation flow
;
Oldroyd-B fluid
;
boundary-layer thickness
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
,
Physics
Notes:
Abstract Exact solutions to the plane and axi-symmetric stagnation flows of an Oldroyd-B fluid are reported. It is found that a steady flow is possible if the Weissenberg numberWi, defined by the product of the Maxwellian relaxation time and the shear rate at infinity, satisfies − 1/2 〈Wi 〈 1/m, wherem = 1 in an axisym-metric flow andm = 2 in a plane flow. Furthermore, the fluid elasticity always decreases the boundary-layer thickness. An Oldroyd-B fluid with the parameters matched those of a typical Boger fluid behaves essentially like a Newtonian fluid in a stagnation flow.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01332071
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