SLOT COOLING AT HIGH SPEED FLOW.
NEW YORK UNIV N Y DEPT OF AERONAUTICS AND ASTRONAUTICS
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The problem of slot cooling at high speed flows is investigated assuming laminar flow conditions prevail. The effectiveness of the slot is measured in terms of a cooling length which in turn is defined as the maximum distance over which the wall temperature remains below a fixed ratio to the stagnation temperature of the coolant. The purpose of the investigation is to establish the effect of coolant quantity, and coolant quality on the cooling length. It is analytically demonstrated that the cooling length is proportional to the square of the mass flow of the coolant with a proportionality coefficient which depends at most on the coolant quality. In a numerical analysis it is shown that under the conditions of high speed flow the cooling length coefficient is a function of the coolant Mach number however, the values obtained vary over such a narrow band that for practical purposes it may be taken as a constant. The coolant of a wing section is investigated by considering a 50 ft. circular wing as an example. It is shown that the results obtained for the constant pressure flow carry over with little modification to flows with pressure gradient. Furthermore, it is shown that a small amount of coolant injected through the slot in the leading edge is sufficient to cool the whole wing. Author
- Fluid Mechanics