Calculating Velocity of Propelled Object Using Bernoulli's Equation

AI Thread Summary
The discussion revolves around calculating the thrust of a vessel containing water and compressed air, specifically using Bernoulli's equation. The problem involves a 1.5L container with 500mL of water and 100psi of air pressure, with a 5mm opening for ejection. Participants suggest using Bernoulli's equation to determine the speed of water ejection and the mass flow rate, which can then be applied to calculate thrust using the formula F = dp/dt = vdm/dt. Clarifications on the application of Bernoulli's equation and calculations of kinetic energy and pressure changes are also discussed. The thread concludes with a participant expressing intent to further explore the equation for better understanding.
pavadrin
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is there a formula which i can use to determine the the velocity of an object propelled by a gas under compression and a fluid?
thanks
Pavadrin
 
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pavadrin said:
is there a formula which i can use to determine the the velocity of an object propelled by a gas under compression and a fluid?
Can you clarify? What exactly is the problem you are trying to solve?

AM
 
Im given a conatainer at a set volume, with an amount of water which is given to me, both in volume and mass. I need to work out the amount of thrust which this vessel could expel, exculding the aerodynamics of the vessel.
thanks
 
pavadrin said:
Im given a conatainer at a set volume, with an amount of water which is given to me, both in volume and mass. I need to work out the amount of thrust which this vessel could expel, exculding the aerodynamics of the vessel.
thanks
The thrust is given by dp/dt = vdm/dt where dm/dt is the time rate of change of mass of the system.

?? Why not just give us the problem? Is there air in the container? Are you given the pressure?

AM
 
okay the problem is as follows:
In a container with the volume of 1.5L, 500mL of water is introduced, as well as 100psi of air pressure. Calculate the amount of thrust this vessel will be able to provide if the air and water is allowed to escape through a 5mm opening.
if nobody is able this question, don't stress, and sorry for an inconveniences which may have been a result of my bad post.
 
pavadrin said:
okay the problem is as follows:
In a container with the volume of 1.5L, 500mL of water is introduced, as well as 100psi of air pressure. Calculate the amount of thrust this vessel will be able to provide if the air and water is allowed to escape through a 5mm opening.
Assume that the water covers the hole. What is the speed at which water will be ejected through the hole? (Hint: look up Bernouilli's equation). Then determine the rate at which mass (water) leaves the container. Then just use F = dp/dt = vdm/dt to determine the thrust.

AM
 
Andrew Mason said:
Assume that the water covers the hole. What is the speed at which water will be ejected through the hole? (Hint: look up Bernouilli's equation). Then determine the rate at which mass (water) leaves the container. Then just use F = dp/dt = vdm/dt to determine the thrust.

AM
thanks Andrew Mason, ill shall look up the suggested equation and then re-post if i encounter more problems.
thanks once again,
Pavadrin
 
im not sure on how to apply Bernouilli's equation. What I found on the internet about this eqaution is:change in pressure+change in kinetic energy/volume=0. I do not know how to calculate kinetic energy, but I do know that potential energy loss=kinetic energy gain. If what I have sated about Bernouilli's equation is correct, then I have calculated the change in pressure as being 588.2 kPa or 85.308 Psi, (assuming that the atmosphere pressure outside of the container is 101.3 kPa)
 
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