On Numerical Study of Similarity Boundary Layer Solutions for a Problem arising from the Flows in a Porous Channel with Moving Walls

• Main Authors: Yu-chu Lin, 林育助
• Other Authors: Ching-an Wang
• Format: Others
• Language: en_US
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/97721172199590405045

碩士 === 國立中正大學 === 應用數學研究所 === 98 === We study the following two-point boundary values problem F''+FF''-(F'')^2+alpha(2F''+etaF'')=K, F(0)=F''(0)=F''(1)=F(1)-R=0, Abstract which arises from the flows in a porous channel with moving walls. Positive (negative) R denotes the case of injection (suction) flows. The given boundary value problem is studied by means of shooting scheme, where the Newton''s iterates are employed by integrating the associated variational system. It is clear that the given problem is equivalent to the famous Berman''s problem when alpha=0. In addition to the types of solution reported in [3] for the Berman''s problem, our result exhibits the existence of new type of solutions for various positive alpha. Moreover, a type of solution reported in [3] may also vanish at some positive alpha.