Similar solutions for the compressible laminar boundary layer with heat transfer and pressure gradient

Cohen, Clarence B; Reshotko, Eli

Stewartson's transformation is applied to the laminar compressible boundary-layer equations and the requirement of similarity is introduced, resulting in a set of ordinary nonlinear differential equations previously quoted by Stewartson, but unsolved. The requirements of the system are Prandtl number of 1.0, linear viscosity-temperature relation across the boundary layer, an isothermal surface, and the particular distributions of free-stream velocity consistent with similar solutions. This system admits axial pressure gradients of arbitrary magnitude, heat flux normal to the surface, and arbitrary Mach numbers. The system of differential equations is transformed to integral system, with the velocity ratio as the independent variable. For this system, solutions are found by digital computation for pressure gradients varying from that causing separation to the infinitely favorable gradient and for wall temperatures from absolute zero to twice the free-stream stagnation temperature. Some solutions for separated flows are also presented.

Document ID

19930092289

Acquisition Source

Legacy CDMS

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Other

Authors

Date Acquired

September 6, 2013

Publication Date

January 1, 1956

Report/Patent Number

Accession Number

93R21579

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Public

Work of the US Gov. Public Use Permitted.

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