A numerical study of the flow of a K—BKZ fluid between plates rotating about non-coincident axes Academic Article uri icon

abstract

  • The flow of a Currie fluid in an orthogonal rheometer has been studied. The numerical strategy includes projection of the solution onto a polynomial subspace with a B-spline basis, and parametric continuation. In contrast to earlier work, we have uncovered no evidence for bifurcation and multiplicity of solution. For values of γ ≤ 0.9750, where γ is the non-dimensional distance between the non-coincident axes, the results are in good agreement with our earlier work while for γ ≥ 0.9750 we obtain solutions by using a parameter continuation method, which also gave good agreement without difficulties with convergence as encountered in other studies. The numerical work is in conplete agreement with the Lemma established earlier. The solutions exhibit strong boundary layer development with increasing Reynolds number and significant interaction between fluid inertia and fluid elasticity. For the K-BKZ fluid under investigation, the surface traction, which has identical values on the two plates in all cases, is strongly dependent on the magnitude of Re, Ws, and γ. © 1991.

author list (cited authors)

  • Dai, R. X., Rajagopal, K. R., & Szeri, A. Z.

citation count

  • 8

publication date

  • January 1991