Consider several elementary planar irrotational flows arranged in a plane in a cartesian coordinate system (x-y plane) with the unit of length in m (meter). A line source with strength 18 m^2/s is located at point A (0, 1); a line sink with strength of 15 m^2/s is located at point B (3, -2); a line vortex with strength of 9 m^2/s is located at point C (4, 1); and a uniform flow of 10 m/s is at angle 30° with positive x-direction (counter-clockwise). Find the resultant velocity and pressure induced at point D (2, 0) by the uniform stream, line source, line sink & line vortex. Pressure at the infinity at upstream of uniform flow is 1000 Pa. Please list all necessary assumptions.
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Consider several elementary planar irrotational flows arranged in a plane in a cartesian coordinate system (x-y plane) with the unit of length in m (meter). A line source with strength 18 m^2/s is located at point A (0, 1); a line sink with strength of 15 m^2/s is located at point B (3, -2); a line vortex with strength of 9 m^2/s is located at point C (4, 1); and a uniform flow of 10 m/s is at angle 30° with positive x-direction (counter-clockwise). Find the resultant velocity and pressure induced at point D (2, 0) by the uniform stream, line source, line sink & line vortex. Pressure at the infinity at upstream of uniform flow is 1000 Pa.
Please list all necessary assumptions.
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