4. A two-dimensional incompressible source flow of strength A=2 is placed at the origin (0,0) of...

   

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4. A two-dimensional incompressible source flow of strength A=2π is placed at the origin (0,0) of a Cartesian coordinate (x-y) system. A flow field described by the stream function = xy, is superimposed on this source flow. By considering the flow pattern in the region - 0≤x≤ ∞ and y>0, (a) Find the location of the stagnation point (10%)) (b) Derive the equation for the body shape. (10%) (c) If the freestream velocity is 1 m/s, find the pressures coefficient (Cp) at the point on the body surface with its coordinate =π/4 (10%) Hint: The stream function of a source flow with strength A placed at the origin (0,0) is -1 az (tan¹x) = 1 & tan-¹ ( ∞) == 1+x² = 0 2TT 4. A two-dimensional incompressible source flow of strength A=2π is placed at the origin (0,0) of a Cartesian coordinate (x-y) system. A flow field described by the stream function = xy, is superimposed on this source flow. By considering the flow pattern in the region - 0≤x≤ ∞ and y>0, (a) Find the location of the stagnation point (10%)) (b) Derive the equation for the body shape. (10%) (c) If the freestream velocity is 1 m/s, find the pressures coefficient (Cp) at the point on the body surface with its coordinate =π/4 (10%) Hint: The stream function of a source flow with strength A placed at the origin (0,0) is -1 az (tan¹x) = 1 & tan-¹ ( ∞) == 1+x² = 0 2TT

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The question presented is a fluid dynamics problem concerning a twodimensional incompressible flow around a source flow combined with a uniform flow The flow source has a strength 2 and the stream fun... View the full answer