A steady, incompressible, two-dimensional velocity field is given by the following components in the xy -plane: u = 0.205 + 0.97 x + 0.851 y u = − 0.509 + 0.953 x − 0.97 y Calculatethe accelerate field (find expressions for acceleration components a x , and a y ) and calculate the acceleration at the point (x,y)=( 2,1.5)
A steady, incompressible, two-dimensional velocity field is given by the following components in the xy -plane: u = 0.205 + 0.97 x + 0.851 y u = − 0.509 + 0.953 x − 0.97 y Calculatethe accelerate field (find expressions for acceleration components a x , and a y ) and calculate the acceleration at the point (x,y)=( 2,1.5)
Solution Summary: The author explains the acceleration of the fluid particle in the x direction, and the y directions.
A steady, incompressible, two-dimensional velocity field is given by the following components in the xy-plane:
u
=
0.205
+
0.97
x
+
0.851
y
u
=
−
0.509
+
0.953
x
−
0.97
y
Calculatethe accelerate field (find expressions for acceleration components ax, and ay) and calculate the acceleration at the point (x,y)=(2,1.5)
4-17 Converging duct flow is modeled by the steady,
two-dimensional velocity field of Prob. 4-16. The pressure
field is given by
P = Po
2U,bx + b°(x² + y°)
where P, is the pressure at x = 0. Generate an expression for
the rate of change of pressure following a fluid particle.
1) A steady, incompressible, two-dimensional velocity field is given by the following
components in the xy-plane:
V(u, v) = (0.25 +1.4x + 0.8y)i + (-0.5 +0.9x - 1.4y)]
where the x- and y-coordinates are in m and the magnitude of velocity is in m/s.
a) Calculate the acceleration field (find expressions for acceleration components ax and ay)
b) Calculate the acceleration at the point (x, y) = (2, 3).
A steady, incompressible, two-dimensional velocity field is given by the following components in the xy-plane: u = 0.205 + 0.97x + 0.851y ? = −0.509 + 0.953x − 0.97y Calculate the acceleration field (find expressions for acceleration components ax and ay) and calculate the acceleration at the point (x, y) = (2, 1.5).
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