Obtain aerodynamic heating formula for at the stagnation point of a sphere in terms of radius of curvature. Assuming calorically perfect air, find the aerodynamic heating of the space capsule given in Fig. 7.9. Take the wall temperature as \(1200 \mathrm{~K}\). Find also the heating rate at \(\psi=45^{\circ}\).

Fig. 7.9

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shock stagnation streamline sonic line 35 20 4.74m M Maximum entrophy streamline sonic line