An implicit rheological model for numerical simulation of generalized Newtonian fluids

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• 作者：Mohsen Lashkarbolok ; Shukoofeh Izadi ; Hadi Alemi…
• 关键词：cubic spline ; collocated discrete least squares ; meshless method ; radial point interpolation
• 刊名：Korea-Australia Rheology Journal
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：27
• 期：2
• 页码：105-111
• 全文大小：547 KB
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• 作者单位：Mohsen Lashkarbolok (1)
  Shukoofeh Izadi (2)
  Hadi Alemi (2)
  Sita Drost (3)
  
  1. Department of Engineering, Golestan University, Golestan, Iran
  2. Islamic Azad University of Azadshahr, Azadshahr, Iran
  3. Department of Process and Energy, Delft University of Technology, 2628 CD, Delft, Netherlands
  
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Mechanical Engineering
  Polymer Sciences
  Characterization and Evaluation of Materials
  Soft and Granular Matter, Complex Fluids and Microfluidics
  Food Sciences
  
• 出版者：The Korean Society of Rheology and Australian Society of Rheology, co-published with Springer
• ISSN：2093-7660

文摘

Fitting an explicit curve over some discrete data extracted from a rheometer is the usual way of writing a rheological model for generalized Newtonian fluids. These explicit models may not match totally with the extracted data and may ignore some features of the rheological behavior of the fluids. In this paper, a cubicspline curve fitting is used to fit a smooth curve from discrete rheological data. Spline interpolation avoids the problem of Runge's phenomenon, which occurs in interpolating using high degree polynomials. The formulation for applying presented rheological model is described in the context of least squares meshfree technique. One problem is solved to show validity of the scheme: a fluid with rather complex rheology model is considered and solved by both conventional explicit and proposed implicit models to show the advantages of the presented method.