A steady-state velocity field in Quadrant I of the Cartesian plane is given by v = (1 − 2y)i + 2j...

Question

A steady-state velocity field in Quadrant I of the Cartesian plane is given by

v = (1 − 2y)i + 2j m/s

where x and y are in meters and x, y ≥ 0. Determine the equation of the streamlines and plot several streamlines for 0 ≤ x ≤ 10 and 0 ≤ x ≤ 10.

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Perla · Accepted Answer

Given steady state velocity potential = 
V=(1-2y)I + 2j ,m/s
Solving for steam function gives the following plot:
References
Munson, B. R., Okiishi, T. H., Huebsch, W. W., & Rothmayer, A. P. (2013). Fluid mechanics (pp. 271-274). Singapore: Wiley.

A steady-state velocity field in Quadrant I of the Cartesian plane is given by v = (1 − 2y)i + 2j m/s where x and y are in meters and x, y ≥ 0. Determine the equation of the streamlines and plot...

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