Traveling Waves of Some Symmetric Planar Flows of Non-Newtonian Fluids

سال انتشار: 1398
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 268

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شناسه ملی سند علمی:

JR_JACM-5-2_014

تاریخ نمایه سازی: 19 تیر 1398

چکیده مقاله:

We present some variants of Burgers-type equations for incompressible and isothermal planar flow of viscous non-Newtonian fluids based on the Cross, the Carreau and the power-law rheology models, and on a symmetry assumption on the flow. We numerically solve the associated traveling wave equations by using industrial data and in order to validate the models we prove existence and uniqueness of solutions to the equations. We also provide numerical estimates of the shock thickness as well as the maximum stress associated with the traveling waves.

کلیدواژه ها:

Burgers-type equation ، First-order implicit ODE ، Existence and uniqueness of solutions ، Numerical solutions

نویسندگان

Dongming Wei

Department of Mathematics, School of Science and Technology, Nazarbayev University, ۵۳ Kabanbay Batyr Avenue, Astana, ۰۱۰۰۰, Kazakhstan

Yupeng Shu

Department of Mathematics, College of Sciences, the University of New Orleans, ۲۰۰۰ Lakeshore Drive, New Orleans, LA ۷۰۱۴۸, USA

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  • Cross, M. M., Rheology of nonnewtonian fluids - a new ...
  • Fung, Y. C., Biomechanics: Mechanical Properties of Living Tissues, Springer, ...
  • Steffe, J. F., Rheological Methods in Food Process Engineering (2nd ...
  • Garakani, A. H. K. et al., Comparison between different models ...
  • Shibeshi, S. S. et al., The rheology of blood flow ...
  • Tyn, M. U. et al., Partial Differential Equations for Scientists ...
  • Ochoa, M. V., Analysis of Drilling Fluid Rheology and Tool ...
  • Kythe, P. K., An Introduction to Linear and Nonlinear finite ...
  • Bird, R. B. et al., Dynamics of Polymeric Liquids, Volume ...
  • Gee, R. E. et al., Nonisothermal flow of viscous non-newtonian ...
  • Wilkinson, W. L., Non-Newtonian Fluids: Fluid Mechanics, Mixing and Heat ...
  • Munson, B. R. et al., Fundamentals of Fluid Mechanics (7 ...
  • Wei, D. et al., Traveling wave solutions of burgers’ equation ...
  • Wei, D. et al., Traveling wave solutions of burgers’ equation ...
  • White, F., Fluid Mechanics (7 ed.), McGraw-Hill Education, 2010. ...
  • Camacho, V. et al., Traveling waves and shocks in a ...
  • Olesen, L. H., Computational fluid dynamics in microfluidic systems, MS. ...
  • Chertock, A. et al., On degenerate saturated-diffusion equations with convection, ...
  • Kurganov, A. et al., Effects of a saturating dissipation in ...
  • Goodman, J. et al., Breakdown in burgers-type equations with saturating ...
  • Rykov, Y. G., On the theory of discontinuous solutions to ...
  • Kurganov, A. et al., On burgers-type equations with non-monotonic dissipative ...
  • Debnath, L., Nonlinear Partial Differential Equations for Scientists and Engineers ...
  • Escudier, M. P. et al., On the reproducibility of the ...
  • Kythe, P. K., An Introduction to Linear and Nonlinear Finite ...
  • Charrondiere, U. R. et al., FAO/INFOODS Density Database Version 2.0. ...
  • Murray, F. J. et al., Existence Theorems for Ordinary Differential ...
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