New results of Falkner–Skan equation arising in boundary layer theory

摘要

This paper presents a new nonexistence result and upper and lower bounds of the shear stress f″(0) to the well-known Falkner–Skan equation arising from the boundary layer problemsf‴(η)+f(η)f″(η)+λ[1-(f′)2(η)]=0,η∈(0,∞)subject to the boundary conditionf(0)=f′(0)=0,f′(∞)=1,and the side condition0