Abstract
The purpose of this paper is to investigate the pipeline flow of fractional Maxwell fluids based on the rheological experiment of xanthan gum solutions. The rheological properties of xanthan gum solutions at different concentrations are measured. Based on the experimental data, a grid-search method is used to determine the optimal parameters. The fitting results show that the double fractional Maxwell model is suitable to describe the flow constitutive relationship of xanthan gum solutions. Moreover, the governing equation of the pipeline flow of fractional Maxwell fluids is solved by the numerical difference method. The effects of fractional stress, fractional strain and relaxation parameter on the pipeline flow are discussed. The increase in fractional stress parameter and relaxation parameter has a negative effect on the flow process, while the increase in strain parameter enhances the flow of solutions in the pipeline.
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