Modeling and Analysis of Modern Fluid Problems

Liancun Zheng (University of Science and Technology, Beijing), is a Professor in Applied mathematics with interest in partial/ordinary differential equations, fractional differential equations, non-Newtonian fluids, viscoelastic fluids, micropolar fluids, nanofluids, heat and mass transfer, radioactive heat transfer, nonlinear boundary value problems, and numerical heat transfer. He has published more than 260 papers in international journals and 5 books (in Chinese) and has served as Editor or Guest Editor of International Journals on 10 occasions. Xinxin Zhang is a Professor in the School of Engergy and Environmental Enginerring at the University of Science and Technology, Bejing.He is interested in thermal physical properties and thermal physics, mathematical modelling, system optimization and computer control, the numerical analysis of fluid flow, and heat transfer.

1. Introduction2. Embedding-Parameters Perturbation Method3. Adomian Decomposition Method4. Homotopy Analytical Method5. Differential Transform Method6. Variational Iteration Method and Homotopy Perturbation Method7. Exact Analytical Solutions for Fractional Viscoelastic Fluids8. Numerical Methods