Evaluation Of Strong Shear Thinning
Non-Newtonian Fluid Flow Using
Single Domain DR-BEM
Author(s)
M. Giraldo, H. Power &W. Fl´orez
Abstract
The dual reciprocity method (DRM) has been successfully employed along with
the boundary element method (BEM) to simulate non linear flow phenomena
such as convective momentum transport and shear thinning fluids. In the latter
however, domain partitioning has been necessary to achieve convergence when
the power law index is below 0.8. This paper shows how a single domain
DR-BEM formulation for non Newtonian low Reynolds number flows can be
implemented in order to obtain accurate results for lower values of the power law
index. Some of the characteristics of this implementation are the use of quadratic
elements and an iterative solution of the non linear system of equations using a
modified Newton–Raphson method. Along with the implementation, two radial
basis functions (RBFs) were used and compared on two classical problems of
inelastic non Newtonian flow: couette mixing and slit flow. Solutions obtained are
also compared to results froma multi-domain dual reciprocitymethod (MD-DRM)
for equalmeshes. Results showed that using the above mentioned strategies, single
domain DR-BEM can accurately predict the flow field in inelastic non Newtonian
flow for values of the power law index as low as 0.5. It is also worth noting that the
accuracy of the single domain strategy was shown to be higher than MD-DRM,
although the latter clearly reduced computational resource consumption.
Keywords: single domain DRM, power law fluids, higher order elements, iterative
methods for non linear systems.
Keywords
single domain DRM, power law fluids, higher order elements, iterative
methods for non linear systems.
Related Book
Other papers in this volume
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