Research articles

Unsteady flow of an Oldroyd-B fluid induced by a constantly accelerating plate

Corina Fetecău, Constantin Fetecău

"Gh. Asachi" Technical Universiti, Iasi, Romania

Abstract: We study the start-up flow of an Oldroyd-B fluid between two infinite parallel plates, one of them at rest and the other one being subject, after time zero, to a constant acceleration A. The solutions that are obtained satisfy both the associate partial differential equations and all imposed initial and boundary conditions. They reduce to those for a Maxwell, Second grade or Navier–Stokes fluid as a limiting case.

Keywords and phrases: Oldroyd-B fluid, velocity field, tangential tension, constantly accelerating plate.

MSC: 76A05

Received: 28.10.2006

Language: English

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