ON THE CHARACTERIZATION OF FIELDS OF DIABATIC FLOW. PART 2. CALCULATIONS OF STEADY DIABATIC FLOW IN ONE AND TWO DIMENSIONS
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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The purpose of the report is to describe specific calculations of diabatic flows in order that both the physical understanding of these flows and methods for their computation may be improved. After a review of the previously formulated theory, one-dimensional radial and vortex flows are considered. They illustrate several differences between adiabatic and diabatic compressible flows such as absence of limit circles and non-minimal stream-tube area at sonic velocity. Two-dimensional uniplanar flows describable by a potential are computed next. A third type of diabatic flow, somewhat less general than those preceding, is analyzed in more detail. Here the flow is uniform at infinity but is perturbed by a localized heat source. The velocity, pressure and density variations are calculated over the field of flow. Since the largest perturbation is on the density, it is the density perturbation which limits the size of the heat source that still permits a first-order perturbation calculation. The concluding section describes a formulation of the general equations for uniplanar flow in terms of the components, u, v of the Crocco vector.
- Fluid Mechanics