Consider the boundary layer near the forward stagnation point of a 2D body, say a circular cylinder. The outer flow at the edge of the boundary layer is U(x) = ax, where x denotes distance along the boundary measured from the stagnation point and a is a positive constant. Seek a similarity solution of the boundary layer equations in which u,(x, y) = axf'(n), where n = y/g(x) Show that g(x) is a constant.

Consider the boundary layer near the forward stagnation point of a 2D body, say a circular cylinder. The outer flow at the edge of the boundary layer is U(x) = ax, where x denotes distance along the boundary measured from the stagnation point and a is a positive constant. Seek a similarity solution of the boundary layer equations in which u,(x, y) = axf'(n), where n = y/g(x) Show that g(x) is a constant.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Consider the boundary layer near the forward stagnation point of a 2D body,
say a circular cylinder. The outer flow at the edge of the boundary layer is
U(x) = ax, where x denotes distance along the boundary measured from the
stagnation point and a is a positive constant. Seek a similarity solution of the
boundary layer equations in which
u, (x, y) αxf' (η) , where η = y/g (x)
Show that g(x) is a constant.

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