ANOMALOUS DIFFUSION IN FINITE LENGTH FINGERS COMB FRAME WITH THE EFFECTS OF TIME AND SPACE RIESZ FRACTIONAL CATTANEO-CHRISTOV FLUX AND POISEUILLE FLOW

• 来源期刊: 计算数学（英文版）
• 关键词: Anomalous diffusion Cattaneo-Christov flux Fractional derivative Poiseuille flow Distribution
• 年，卷（期）: 2018,（4）
• 页码范围: 563-578
• 页数: 16页
• 语种: 英文
• DOI: 10.4208/jcm.1702-m2016-0627

摘要

This paper presents an investigation on the anomalous diffusion in finite length fingers comb frame,the time and space Riesz fractional Cattaneo-Christov flux is introduced with the Oldroyds' upper convective derivative and the effect of Poiseuille flow is also taken into account.Formulated governing equation possesses the coexisting characteristics of parabolicity and hyperbolicity.Numerical solution is obtained by the L1-scheme and shifted Grünwald formulae,which is verified by introducing a source item to construct an exact solution.The effects,such as time and space fractional parameters,relaxation parameter and the ratio of the pressure gradient and viscosity coefficient,on the spatial and temporal evolution of particles distribution and dynamic characteristics are shown graphically and analyzed in detail.