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- Flow velocity
- Volumetric flow rate
- Fluid dynamics
- Incompressible flow
- Supercritical flow
- Pulse wave velocity
- Hagen–Poiseuille equation
- Choked flow
- Flow measurement
- Turbulence
- Flow velocity - Wikipedia
- Pipes - Fluid Flow Velocities - The Engineering ToolBox
- 12.1: Flow Rate and Its Relation to Velocity - Physics LibreTexts
- Flow Rate to Velocity Calculator
- Flow Rate vs. Flow Velocity- What’s the Difference?
- What is Flow Velocity? - Definition from Trenchlesspedia
- Fluid Flow Velocity in pipe, calculation and recommendation
- Flow Velocity - an overview | ScienceDirect Topics
- Pipe Line Velocities vs. Fluid - The Engineering ToolBox
- Flow Velocity - Corrosionpedia
Fate/stay night: Heaven’s Feel I. Presage Flower (2017)
Flow velocity GudangMovies21 Rebahinxxi LK21
In continuum mechanics the flow velocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum. The length of the flow velocity vector is scalar, the flow speed.
It is also called velocity field; when evaluated along a line, it is called a velocity profile (as in, e.g., law of the wall).
Definition
The flow velocity u of a fluid is a vector field
u
=
u
(
x
,
t
)
,
{\displaystyle \mathbf {u} =\mathbf {u} (\mathbf {x} ,t),}
which gives the velocity of an element of fluid at a position
x
{\displaystyle \mathbf {x} \,}
and time
t
.
{\displaystyle t.\,}
The flow speed q is the length of the flow velocity vector
q
=
‖
u
‖
{\displaystyle q=\|\mathbf {u} \|}
and is a scalar field.
Uses
The flow velocity of a fluid effectively describes everything about the motion of a fluid. Many physical properties of a fluid can be expressed mathematically in terms of the flow velocity. Some common examples follow:
= Steady flow
=The flow of a fluid is said to be steady if
u
{\displaystyle \mathbf {u} }
does not vary with time. That is if
∂
u
∂
t
=
0.
{\displaystyle {\frac {\partial \mathbf {u} }{\partial t}}=0.}
= Incompressible flow
=If a fluid is incompressible the divergence of
u
{\displaystyle \mathbf {u} }
is zero:
∇
⋅
u
=
0.
{\displaystyle \nabla \cdot \mathbf {u} =0.}
That is, if
u
{\displaystyle \mathbf {u} }
is a solenoidal vector field.
= Irrotational flow
=A flow is irrotational if the curl of
u
{\displaystyle \mathbf {u} }
is zero:
∇
×
u
=
0.
{\displaystyle \nabla \times \mathbf {u} =0.}
That is, if
u
{\displaystyle \mathbf {u} }
is an irrotational vector field.
A flow in a simply-connected domain which is irrotational can be described as a potential flow, through the use of a velocity potential
Φ
,
{\displaystyle \Phi ,}
with
u
=
∇
Φ
.
{\displaystyle \mathbf {u} =\nabla \Phi .}
If the flow is both irrotational and incompressible, the Laplacian of the velocity potential must be zero:
Δ
Φ
=
0.
{\displaystyle \Delta \Phi =0.}
= Vorticity
=The vorticity,
ω
{\displaystyle \omega }
, of a flow can be defined in terms of its flow velocity by
ω
=
∇
×
u
.
{\displaystyle \omega =\nabla \times \mathbf {u} .}
If the vorticity is zero, the flow is irrotational.
The velocity potential
If an irrotational flow occupies a simply-connected fluid region then there exists a scalar field
ϕ
{\displaystyle \phi }
such that
u
=
∇
ϕ
.
{\displaystyle \mathbf {u} =\nabla \mathbf {\phi } .}
The scalar field
ϕ
{\displaystyle \phi }
is called the velocity potential for the flow. (See Irrotational vector field.)
Bulk velocity
In many engineering applications the local flow velocity
u
{\displaystyle \mathbf {u} }
vector field is not known in every point and the only accessible velocity is the bulk velocity or average flow velocity
u
¯
{\displaystyle {\bar {u}}}
(with the usual dimension of length per time), defined as the quotient between the volume flow rate
V
˙
{\displaystyle {\dot {V}}}
(with dimension of cubed length per time) and the cross sectional area
A
{\displaystyle A}
(with dimension of square length):
u
¯
=
V
˙
A
{\displaystyle {\bar {u}}={\frac {\dot {V}}{A}}}
.
See also
References
Kata Kunci Pencarian:
Flow and Velocity | Kurt Hydraulics
Water flow velocity measuring system – Smartcity Services
Flow velocity distribution | Download Scientific Diagram
Measuring Flow Velocity : 7 Steps (with Pictures) - Instructables
Comparison of average flow velocity and measured flow velocity of 144 m ...
Comparison of average flow velocity and measured flow velocity of 144 m ...
Flow velocity study. Measure of flow velocity during a stimulation ...
Flint Hydraulics, Inc.: Flow rate vs. flow velocity
doplnok rodina Databáza pipe flow velocity efektívnosť fľaša gentleman
| Flow velocity measurement sections. | Download Scientific Diagram
The flow of Velocity Measurement | Download Scientific Diagram
Flow velocity distribution at flow rate 90.0 ml/min. | Download ...
flow velocity
Daftar Isi
Flow velocity - Wikipedia
In continuum mechanics the flow velocity in fluid dynamics, also macroscopic velocity[1][2] in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum. The length of the flow velocity vector is …
Pipes - Fluid Flow Velocities - The Engineering ToolBox
Calculate fluid velocity and volume flow in pipes and tubes. Imperial units Fluid flow velocity in a circular pipe can be calculated with Imperial or American units as
12.1: Flow Rate and Its Relation to Velocity - Physics LibreTexts
Flow rate and velocity are related, but quite different, physical quantities. To make the distinction clear, think about the flow rate of a river. The greater the velocity of the water, the greater the flow rate of the river.
Flow Rate to Velocity Calculator
How Do You Convert Flow Rate to Velocity? Converting flow rate to velocity involves these steps: Determine the flow rate (Q) in appropriate units. Measure or calculate the cross-sectional area (A) of the flow path. Divide the flow rate by the area to get the velocity.
Flow Rate vs. Flow Velocity- What’s the Difference?
Sep 22, 2021 · Flow velocity depends significantly on the vessel or container the fluid is in, specifically, the cross-sectional area. Put another way: Where A is the cross-sectional area of the container the fluid is floating in and v is the average velocity. This is why water coming out of a nozzle goes “fast”.
What is Flow Velocity? - Definition from Trenchlesspedia
Oct 31, 2018 · What Does Flow Velocity Mean? Flow velocity is the distance traveled by a fluid per time i.e. meter/second or feet/minute. Friction along the pipe walls can affect the flow velocity of a fluid.
Fluid Flow Velocity in pipe, calculation and recommendation
The fluid velocity in a pipe is a fundamental data to calculate to be able to characterize the flow in a pipe, thanks to the Reynolds number, and size a pipe circuit calculating the pressure drop expected for a certain flow.
Flow Velocity - an overview | ScienceDirect Topics
Flow velocity refers to the flow flux per unit area, also known as superficial velocity, j, with the unit of meter per second. Superficial velocity of each phase and mixture velocity can be expressed as, The velocity can also be expressed by mass velocity and physical velocity.
Pipe Line Velocities vs. Fluid - The Engineering ToolBox
Typical fluid flow velocities for common liquids, gases and vapors. Fluid flow and pressure loss in pipe lines. Water and sewer systems. Steel pipes, pvc pipes, copper tubes and more. Recommended max suction flow velocity when pumping boiling fluids.
Flow Velocity - Corrosionpedia
Jul 19, 2024 · What Does Flow Velocity Mean? Flow velocity is the vector field that is used to describe fluid motion in a mathematical manner. The entire length of the flow velocity is referred to as the flow speed.