Conformation necessary on fluids

[bored]

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hi guys, I was wondering if someone can varify some formulas/concepts for me regarding fluids

so flow speed is the velocity of particles of the fluid. its the v that we use in our bernoulli's equation.

flow rate on the other hand is the amount of fluid that passes a point per unit time. the formula for flow rate is Q= Velocity * Area, but Q also is Q=(Pressure Difference) / (resistance).

is this the quantity that stays constant throughout the pipe?

can someone verify this?

also, can someone explain me how pressure relates to the area? is it as simple as using the bernouli's equation to determine how pressure varies with an area, that is,

large area means a lower flow speed (velocity), therefore, large area correlates to a large pressure? whereas smaller area correlates to a higher velocity which means the pressure is lower.

higher area = lower speed = higher pressure?
lower area = higher speed = lower pressure?

ps; im talking about a horizontal pipe so the pgh can cancel out.
thanks for reading

 

[shaboobly]

the Q you are using is constant because it relates to the continuity equation stating that A1V1=A2V2 at 2 different parts in the pipe.

idk what you mean about how pressure relates to area.. as in a piston? because there is no area in the Bernoulli's equation

in a pipe the faster the velocity of the fluid is, the lower the pressure is.

 

[bored]

the Q you are using is constant because it relates to the continuity equation stating that A1V1=A2V2 at 2 different parts in the pipe.

idk what you mean about how pressure relates to area.. as in a piston? because there is no area in the Bernoulli's equation

in a pipe the faster the velocity of the fluid is, the lower the pressure is.

well in a pipe the faster the velocity would mean that the area is pretty small using the countinuty equation?

 

[shaboobly]

well in a pipe the faster the velocity would mean that the area is pretty small using the countinuty equation?

yes:

V1=(A2/A1)V2; when A2<A1 then V1<V2; when A2>A1 then V1>V2

 

[bored]

yes:

V1=(A2/A1)V2; when A2<A1 then V1<V2; when A2>A1 then V1>V2

awesome, thanks

 

[sciencebooks]

hi guys, I was wondering if someone can varify some formulas/concepts for me regarding fluids

so flow speed is the velocity of particles of the fluid. its the v that we use in our bernoulli's equation.

flow rate on the other hand is the amount of fluid that passes a point per unit time. the formula for flow rate is Q= Velocity * Area, but Q also is Q=(Pressure Difference) / (resistance).

is this the quantity that stays constant throughout the pipe?

can someone verify this?

also, can someone explain me how pressure relates to the area? is it as simple as using the bernouli's equation to determine how pressure varies with an area, that is,

large area means a lower flow speed (velocity), therefore, large area correlates to a large pressure? whereas smaller area correlates to a higher velocity which means the pressure is lower.

higher area = lower speed = higher pressure?
lower area = higher speed = lower pressure?

ps; im talking about a horizontal pipe so the pgh can cancel out.
thanks for reading

Yep. Using continuity equation and then Bernoulli's equation, you can make these connections (and I've seen passages test your ability to do so as well).