Start-up flows of second grade fluids in domains with one finite dimension Academic Article uri icon

abstract

  • A 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. © 1995.

author list (cited authors)

  • Bandelli, R., & Rajagopal, K. R.

citation count

  • 149

publication date

  • November 1995