Abstract
T HEAT TRANSFER by convection from slender surfaces of revolution in axisymmetrical flow is of current interest with regard to projectiles, airplane fuselages, rocket motors, etc. At sufficiently high altitudes and speeds laminar boundary layers can exist at very high Reynolds Numbers. For a laminar boundary layer, the velocity and temperature profiles, momentum and displacement thicknesses, and wall shear stress can be evaluated by using the Mangier transformation. This enables direct use of the solution for flows over a two-dimensional body with a freestream velocity distribution for the determination of the boundary-layer quantities in the three-dimensional case. This paper extends the Mangier transformation into the evaluation of the local heat-transfer coefficient on slender three-dimensional surfaces of revolution in axisymmetrical flow. The mean heattransfer coefficient over the entire surface can be evaluated by integration. A typical example of this transformation technique is given for the case of laminar heat transfer from semi-ellipsoidal surfaces of fineness ratio 4.
Published Version
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