Numerical Laplace inversion in rheological characterization Academic Article

abstract

• A new algorithm available for the numerical inversion of Laplace transforms using multi-precision computational environment provides controlled accuracy, that is the inversion can be carried out to yield any pre-specified number of significant digits. One important application is characterizing rheological phenomena, because the modeler is no longer restricted to a narrow class of "analytically treatable" constitutive equations, and the numerical inversion provides de facto "analytic" results for any reasonable model formulated in the Laplace domain. The advantages of Laplace domain models are discussed. In addition, idealized but important abstract flows (such as the Rayleigh or Stokes first problem) are calculated. As an illustration the fractional-power model of Low Density Polyethylene (LDPE) at 150C (for small shear strains) is considered and the arrival of a sinusoidal wave is calculated. 2003 Elsevier B.V. All rights reserved.

authors

• Valko, Peter

published proceedings

• JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

author list (cited authors)

• Valko, P. P., & Abate, J.

citation count

• 13

complete list of authors

• Valko, PP||Abate, J

publication date

• January 2004

publisher

• Elsevier  Publisher

published in

• Journal of Non-Newtonian Fluid Mechanics  Journal

keywords

• Fractional-power Rheological Model
• Gaver-wynn-rho Algorithm
• Ldpe
• Numerical Inversion Of Laplace Transform
• Rayleigh Problem

Digital Object Identifier (DOI)

• 10.1016/j.jnnfm.2003.11.001

start page

• 395

end page

• 406

volume

• 116

issue

• 2-3

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jnnfm.2003.11.001