In these exercises, F( x , y , z ) denotes a vector field defined on a surface σ oriented by a unit normal vector field n ( x , y , z ) , and Φ denotes the flux of F across σ . In the case of steady-state incompressible fluid flow, with F( x , y , z ) the fluid velocity at ( x , y , z ) on σ , Φ can be interpreted as _____ .
In these exercises, F( x , y , z ) denotes a vector field defined on a surface σ oriented by a unit normal vector field n ( x , y , z ) , and Φ denotes the flux of F across σ . In the case of steady-state incompressible fluid flow, with F( x , y , z ) the fluid velocity at ( x , y , z ) on σ , Φ can be interpreted as _____ .
In these exercises,
F(
x
,
y
,
z
)
denotes a vector field defined on a surface
σ
oriented by a unit normal vector field
n
(
x
,
y
,
z
)
,
and
Φ
denotes the flux of
F
across
σ
.
In the case of steady-state incompressible fluid flow, with
F(
x
,
y
,
z
)
the fluid velocity at
(
x
,
y
,
z
)
on
σ
,
Φ
can be interpreted as _____
.
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.
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