A steady, incompressible, two-dimensional velocity fie is given by V → = ( v , v ) = ( 1 + 2 , 5 x + y ) i → + ( − 0.5 − 3 x − 2.5 y ) j → where the x -and y-coordinates and m the magnitude of velocity is in m/s. (a) Determine if there are any stagnation points in this field and if so where they are. (b) Sketch velocity vectors at several locations in the upper-right quadrant for x = 0 m to 4 in and y = 0 in to 4 m; qualitatively describe the flow field.
A steady, incompressible, two-dimensional velocity fie is given by V → = ( v , v ) = ( 1 + 2 , 5 x + y ) i → + ( − 0.5 − 3 x − 2.5 y ) j → where the x -and y-coordinates and m the magnitude of velocity is in m/s. (a) Determine if there are any stagnation points in this field and if so where they are. (b) Sketch velocity vectors at several locations in the upper-right quadrant for x = 0 m to 4 in and y = 0 in to 4 m; qualitatively describe the flow field.
Solution Summary: The author explains the flow field's stagnation points. The expression for velocity field is x -direction.
A steady, incompressible, two-dimensional velocity fie is given by
V
→
=
(
v
,
v
)
=
(
1
+
2
,
5
x
+
y
)
i
→
+
(
−
0.5
−
3
x
−
2.5
y
)
j
→
where the x-and y-coordinates and m the magnitude of velocity is in m/s. (a) Determine if there are any stagnation points in this field and if so where they are. (b) Sketch velocity vectors at several locations in the upper-right quadrant for x= 0 m to 4 in and y = 0 in to 4 m; qualitatively describe the flow field.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Given the steady, incompressible velocity distributionV = 3 x i +Cy j + 0 k , where C is a constant, the shear stressτ xy at the point ( x , y , z ) is given by( a ) 3 μ , ( b ) (3 x + Cy ) μ , ( c ) 0, ( d ) C μ , ( e ) (3 + C ) μ
Find the stagnation point in the following two-dimensional velocity field: V=(3+x-y)i + (5+x+y)j
For the velocity field in
u = Ax , υ = By , and w = Cxy , the convectiveacceleration in the x-direction is( a ) Ax 2 , ( b ) A 2 x , ( c ) B 2 y , ( d ) By 2 , ( e ) Cx 2 y
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.