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The effects of heat capacity lag on the flow over slender bodies are
examined via an extension of Ward's (1949) generalised treatment of
the slender body problem. The results are valid for smooth bodies of
arbitrary cross-sectional shape and attitude in the complete Mach
number range up to, but not including, hypersonic. Transonic flow can
be treated owing to the presence of a dissipative mechanism in the basic
differential equation, but the results in this Mach number range are
probably of limited practical value.
The results show that cross-wind forces are unaffected in a first
approximation, but that drag forces comparable with laminar skin friction
values can arise as a result of the relaxation of the internal degrees of
freedom. The magnitude and sign of these effects depend strongly on
body shape and free stream Mach number.
Results are given for surface pressure coefficient and the variations
of translational and internal mode temperature on and near the body are
also found. The influence of these latter effects on heat transfer to the
body is discussed. |
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