Approximate analytical solutions for the flow of a third-grade fluid in a pipe

Yürüsoy M., Pakdemirli M.

International Journal of Non-Linear Mechanics, vol.37, no.2, pp.187-195, 2002 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 2
  • Publication Date: 2002
  • Doi Number: 10.1016/s0020-7462(00)00105-0
  • Journal Name: International Journal of Non-Linear Mechanics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.187-195
  • Keywords: third grade fluids, perturbation methods, pipe flow
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

The flow of a third-grade fluid in a pipe with heat transfer is considered. Constant viscosity, Reynold's model viscosity and Vogel's model viscosity cases are treated separately. Approximate analytical solutions are presented for each case using perturbations. The criteria for which the solutions are valid are determined for the dimensionless parameters involved. The analytical solutions are contrasted with the finite difference solutions given in Massoudi and Christie (Int. J. Non-Linear Mech. 30 (1995) 687-699) and within admissible parameter range, a close match is achieved. © 2001 Elsevier Science Ltd. All rights reserved.