Analytical Study of Boundary-Layer Growth in a Diverging Channel.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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An analytical study of two-dimensional viscous compressible flow in diverging channels was made for a parabolic wall channel and a straight wall channel with varying initial centerline Mach numbers, degrees of wall divergence, and initial centerline-to-wall enthalpy ratios. The system of governing equations had been reduced to a mathematically parabolic system of nonlinear partial differential equations by means of slender channel approximations and an order of magnitude analysis. The governing equations were then solved using an implicit finite difference technique which reduced the problem to that of a set of simultaneous linear algebraic equations which were well suited for solution on a digital computer. Special case studies for air showed that the only profiles significantly by the parabolic wall channel were those of transverse velocity, pressure, and centerline Mach number. Author
- Fluid Mechanics