According to potential theory (Chap.8) for the flow approaching a rounded two- dimensional body, as in Fig P4.31, the velocity approaching the stagnation point is given by u = U(1 €“ a2/x2), where a is the nose radius and U is the velocity far upstream. Compute the value and position of the maximum viscous normal stress along this streamline. Is this also the position of maximum fluid deceleration? Evaluate the maximum viscous normal stress if the fluid is SAE 30 oil at 20°C, with U = 2 m/s and a = 6 cm.

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Stagnation point