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Flow velocity and area are inversely related in a fluid system. When the area decreases, the flow velocity increases, and vice versa, according to the principle of continuity, which states that the product of cross-sectional area and flow velocity remains constant in an enclosed system with steady flow.

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What is the relationship between the area and velocity in fluid dynamics?

In fluid dynamics, the relationship between the area and velocity is described by the principle of continuity, which states that the product of the cross-sectional area of a fluid flow and its velocity remains constant along a pipe or channel. This means that as the area of the flow decreases, the velocity of the fluid increases, and vice versa.


What Best describes the relationship between the velocity and pressure of a fluid?

The relationship between velocity and pressure in a fluid is described by Bernoulli's principle, which states that when the velocity of a fluid increases, the pressure decreases and vice versa. This relationship is based on the conservation of energy in a flow system.


What is the relationship between velocity gradient and fluid flow in a dynamic system?

The velocity gradient in a fluid flow system refers to the change in velocity across different points in the fluid. In a dynamic system, the velocity gradient is directly related to the fluid flow rate. A higher velocity gradient indicates a faster flow rate, while a lower velocity gradient indicates a slower flow rate. This relationship helps to understand how the fluid moves and behaves within the system.


How do you calculate flow velocity in a fluid system?

Flow velocity in a fluid system can be calculated by dividing the flow rate of the fluid by the cross-sectional area of the pipe or channel through which the fluid is flowing. The formula for calculating flow velocity is: Velocity Flow Rate / Cross-sectional Area.


How can one determine the flow velocity in a fluid system?

One can determine the flow velocity in a fluid system by measuring the rate of flow and the cross-sectional area of the system. By dividing the flow rate by the cross-sectional area, the flow velocity can be calculated.

Related Questions

What is the relationship between the area and velocity in fluid dynamics?

In fluid dynamics, the relationship between the area and velocity is described by the principle of continuity, which states that the product of the cross-sectional area of a fluid flow and its velocity remains constant along a pipe or channel. This means that as the area of the flow decreases, the velocity of the fluid increases, and vice versa.


What is the relationship between river depth and width and velocity of flow?

Manning equation if the hydraulic radius decreases then the velocity decreases


What Best describes the relationship between the velocity and pressure of a fluid?

The relationship between velocity and pressure in a fluid is described by Bernoulli's principle, which states that when the velocity of a fluid increases, the pressure decreases and vice versa. This relationship is based on the conservation of energy in a flow system.


What is the relationship between cross sectional area of blood vessel and velocity of blood flow in that vessel?

Proceeding downstream from the aorta, branching of arterial vessels increases total cross-sectional area and thus results in diminished velocity of blood flow from the aorta to the capillaries. Velocity increases from the capillaries to the large veins with the confluence of vessels and the resulting decrease in total cross-sectional area. :)


What is the relationship between velocity gradient and fluid flow in a dynamic system?

The velocity gradient in a fluid flow system refers to the change in velocity across different points in the fluid. In a dynamic system, the velocity gradient is directly related to the fluid flow rate. A higher velocity gradient indicates a faster flow rate, while a lower velocity gradient indicates a slower flow rate. This relationship helps to understand how the fluid moves and behaves within the system.


How do you calculate flow velocity in a fluid system?

Flow velocity in a fluid system can be calculated by dividing the flow rate of the fluid by the cross-sectional area of the pipe or channel through which the fluid is flowing. The formula for calculating flow velocity is: Velocity Flow Rate / Cross-sectional Area.


What is the relationship between flow rate pressure?

With the increase in flow rate the velocity of the fluid increases. and with the increase in velocity the pressure decreases, because there will be pressure drop (Refer Bernoulli's Theorm). So with increase in Flow rate the pressure decreases.


How can one determine the flow velocity in a fluid system?

One can determine the flow velocity in a fluid system by measuring the rate of flow and the cross-sectional area of the system. By dividing the flow rate by the cross-sectional area, the flow velocity can be calculated.


How do you calculate the velocity of a pipe flow?

To calculate the velocity of a pipe flow, you can use the formula: Velocity Flow rate / Cross-sectional area of the pipe. The flow rate is typically measured in cubic meters per second, and the cross-sectional area is the area of the pipe's opening in square meters. By dividing the flow rate by the cross-sectional area, you can determine the velocity of the flow in meters per second.


What is the relationship between vorticity and velocity in cylindrical coordinates?

In cylindrical coordinates, vorticity is related to the velocity by the curl of the velocity field. The vorticity vector is the curl of the velocity vector, which represents the local rotation of the fluid at a point in the flow.


What is the relationship between the diameter of axon and conduction velocity?

There is a positive relationship between the diameter of an axon and its conduction velocity. Larger axon diameters result in faster conduction velocities due to decreased resistance to ion flow. This relationship is described by the principle of "the larger the diameter, the faster the conduction."


How to calculate flow velocity in a pipe?

To calculate flow velocity in a pipe, you can use the formula: velocity flow rate / cross-sectional area of the pipe. The flow rate is typically measured in volume per unit time (e.g. cubic meters per second), and the cross-sectional area is the area of the pipe's opening. By dividing the flow rate by the cross-sectional area, you can determine the velocity of the flow within the pipe.