Start-up flows of second grade fluids in domains with one finite dimension
1995; Elsevier BV; Volume: 30; Issue: 6 Linguagem: Inglês
10.1016/0020-7462(95)00035-6
ISSN1878-5638
Autores Tópico(s)Computational Fluid Dynamics and Aerodynamics
ResumoA number of unidirectional transient flows of a second grade fluid in a domain with one finite dimension are studied. The method of integral transforms (Fourier, Hankel or Laplace) is applied to obtain exact solutions. A general theorem on start-up flows for second grade fluids is presented that allows us to determine unidirectional flows of second grade fluids once the corresponding solution is known within the context of the Navier-Stokes theory. In the process of obtaining solutions for the fluid of second grade, we find several new exact solutions within the context of the classical Navier-Stokes theory.
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