Asymptotic solutions for laminar flow based on blood circulation through a uniformly porous channel with retractable walls and an applied transverse magnetic field (I) & (II)
李林博士大陸南華大學數學系 下午 2:00–4:00 鴻經館 M430 室Abstract:
I will introduce some new results on the asymptotic solutions of a nonlinear boundary value problem, which arises in a study of laminar flow in a uniformly porous channel with retractable walls and an applied transverse magnetic field. For different ranges of the control parameters arising in the BVP, four cases are considered using different singular perturbation methods. Numerical solutions presented for each case agree well with asymptotic solutions, which illustrates that the asymptotic solutions constructed are more reliable. Finally, the influences of some parameters on flow field are discussed to develop a better understanding of the flow problem.