Volume 8, Number 2, Summer 2000
MODIFIED LINEARIZED BURGER'S FLOW FOR TWODIMENSIONAL VISCOUS MOTION
RAHMATULLAH FAHIMI
Abstract. In this expository paper we use a complex version
of the twodimensional steady flow NavierStokes equations,
originally due to Legendre [6] and develop a new linearization
which is similar, but different from Burger's flow. A
similarity solution is found where the stream function for the
potential flow is a linear combination of the linear shear flow
and stagnationpoint flow in two dimensions. Such a similarity
solution describes a flow impinging on a plane wall at an arbitrary
angle of incidence and reduces the problem to a system
of two ordinary differential equations which can be integrated
numerically. The technique is similar to a method used by
Ranger and Davis [8] and discussed in a nonlinear context by
Dorrepaal [1]. The existence of the boundary layer near the
wall is interpreted from the similarity solution. A promulgation
of the case of inflow only is carried out for the linearized
model.
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