Turbulent Drag Force: Relationship for A, v & p

In summary, turbulent drag force is a type of drag force that occurs when an object moves through a fluid at high velocities. It is caused by friction and resistance between the object and the fluid, and is directly proportional to the object's projected area, velocity, and the fluid's density. The magnitude of turbulent drag force is influenced by factors such as object shape and size, velocity, fluid density and viscosity, and surface roughness. It differs from laminar drag force in its chaotic nature and larger magnitude. To reduce turbulent drag force, one can alter the object's shape or surface roughness, decrease its velocity, use coatings or additives to decrease fluid viscosity, or streamline the object.
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Can anyone give me a relationship for the turbulent drag force on an object with a cross sectional area A and a speed v in a medium with density p please?
Thanks
 
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for your question! The relationship for the turbulent drag force on an object with a cross sectional area A and a speed v in a medium with density p can be expressed as:

F = 0.5 * p * v^2 * CD * A

where F is the drag force, p is the density of the medium, v is the speed of the object, and CD is the drag coefficient. The drag coefficient takes into account the shape and surface properties of the object, and can vary depending on the Reynolds number, which is a dimensionless parameter used to characterize the type of flow (laminar or turbulent).

In turbulent flow, the drag coefficient is typically higher than in laminar flow, resulting in a higher drag force on the object. This is because in turbulent flow, there is more mixing and exchange of momentum between the object and the surrounding fluid, leading to a higher resistance force.

It is worth noting that this relationship is based on the assumption of steady, incompressible flow. In real-world situations, there may be other factors that can affect the drag force, such as the presence of obstacles or changes in the flow direction. Additionally, this relationship may not hold at very high speeds or in highly viscous fluids.

I hope this helps answer your question. Keep in mind that this is a simplified explanation and there may be other factors at play in specific situations. If you need more information, I recommend consulting a fluid dynamics textbook or speaking with a expert in the field. Best of luck!
 

1. What is turbulent drag force?

Turbulent drag force is a type of drag force that occurs when an object moves through a fluid at high velocities, causing the fluid to become turbulent. This force is caused by the friction and resistance between the object and the fluid, and it can significantly affect the movement and speed of the object.

2. How is turbulent drag force related to A, v, and p?

The turbulent drag force is directly proportional to the projected area (A) of the object, the velocity (v) at which it is moving, and the density (p) of the fluid it is moving through. This means that an increase in any of these variables will result in a corresponding increase in the turbulent drag force.

3. What factors influence the magnitude of turbulent drag force?

The magnitude of turbulent drag force is influenced by several factors, including the shape and size of the object, the velocity at which it is moving, the density and viscosity of the fluid, and the roughness of the object's surface.

4. How does turbulent drag force differ from laminar drag force?

Turbulent drag force differs from laminar drag force in that it occurs at higher velocities and is more chaotic. Laminar drag force, on the other hand, occurs at lower velocities and is more orderly. Turbulent drag force is also typically larger in magnitude compared to laminar drag force.

5. How can turbulent drag force be reduced?

Turbulent drag force can be reduced by altering the shape or surface roughness of the object, reducing its velocity, or by using certain types of coatings or additives in the fluid to decrease its viscosity. Additionally, streamlining the object can also help reduce the effects of turbulent drag force.

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