1. Stagnation Points A steady incompressible three dimensional velocity field is given by: V = (2 – 3x + x?) î + (y² – 8y + 5)j + (5z² + 20z + 32)k %3D Where the x-, y- and z- coordinates are in [m] and the magnitude of velocity is in [m/s]. a) Determine coordinates of possible stagnation points in the flow. b) Specify a region in the velocity flied containing at least one stagnation point. c) Find the magnitude and direction of the local velocity field at 4- different points that located at equal- distance from your specified stagnation point.

Elements Of Electromagnetics
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1. Stagnation Points
A steady incompressible three dimensional velocity field is given by:
V = (2 – 3x + x²) î + (y² – 8y + 5)j + (5z² + 20z + 32)k
Where the x-, y- and z- coordinates are in [m] and the magnitude of velocity is in [m/s].
a) Determine coordinates of possible stagnation points in the flow.
b) Specify a region in the velocity flied containing at least one stagnation point.
c) Find the magnitude and direction of the local velocity field at 4- different points that located at equal-
distance from your specified stagnation point.
Transcribed Image Text:1. Stagnation Points A steady incompressible three dimensional velocity field is given by: V = (2 – 3x + x²) î + (y² – 8y + 5)j + (5z² + 20z + 32)k Where the x-, y- and z- coordinates are in [m] and the magnitude of velocity is in [m/s]. a) Determine coordinates of possible stagnation points in the flow. b) Specify a region in the velocity flied containing at least one stagnation point. c) Find the magnitude and direction of the local velocity field at 4- different points that located at equal- distance from your specified stagnation point.
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