On solutions of some non-linear differential equations arising in Newtonian and non-Newtonian fluids

M. R. Mohyuddin, T. Hayat, F. M. Mahomed, S. Asghar, A. M. Siddiqui

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

Some steady as well-as unsteady solutions of the equations of motion for an incompressible Newtonian and non-Newtonian (second-grade) fluids are obtained by applying different methods including the Lie symmetry group method. The flows considered are axially symmetric with the swirling motion, and the governing equations for second-grade fluid flow have been modeled. Expressions for streamlines, velocity and vorticity components are constructed explicitly in each case. Exact analytical solutions in second-grade fluid are obtained and compared with the corresponding viscous solutions.

Original languageEnglish (US)
Pages (from-to)229-248
Number of pages20
JournalNonlinear Dynamics
Volume35
Issue number3
DOIs
StatePublished - Feb 1 2004

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

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