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Unformatted text preview: origin. 2. Consider a source of strength m (m 2 /s) at the origin in a uniform stream given by u o = 10 m/s. (a) What is the complex potential for this ﬂow? (b) Write down the equation for the stagnation streamline. (c) Find the stagnation point(s) (d) If the stagnation streamline is located at y = ± 1 m as x → ∞ , what is the source strength in (m 2 /s)? 3. A double of strength μ is located at z = δ exp ( i 5 π/ 8), where δ = . 05 m. It is embedded in a uniform stream with velocity u o = 10 m/s. (a) What is the strength (the value of κ ) of a clockwise vortex that must be added to the source to make the stagnation point occur at z = 1 . 0 m? (b) What is the strength of the doublet in m 3 /s? (c) Draw the transform of the circle in the ζ-plane under the Joukowski transformation. First write a short computer program to calculate ξ and η and then make the plot. Attach your computer code to the homework. 2...
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- Fluid Dynamics, stagnation streamline, stagnation point occur, stagnation streamfunction