# Bournalli's Equation homework problem

• jan2905
In summary, the conversation discusses a fluid flowing through a pipe with a constant flow rate and varying diameter at two points. The pressure at Point 2 is determined by using Bournalli's Equation, which results in a lower pressure compared to Point 1. However, the higher velocity at Point 2 may cause more pain upon impact. This contradicts the initial assumption that the larger mouth of a hose would have more force.
jan2905
A fluid of density (rho) flows through a horizontal pipe with negligible viscosity. The flow is streamline with constant flow rate. The diameter of the pipe at Point 1 is d and the flow speed is v. If the diameter of the pipe at Point 2 is d/3, then the pressure at Point 2 is?

Bournalli's Equation (sp). I ended up getting P2=P1 - 40(rho)v^2. Correct?

jan2905: That is correct; p2 = p1 - 40*rho*v^2.

would this mean that if i were hit with the liquid at the respective points...

p1 would hurt more than p2? that would mean that a large mouth waterhose has more force than a small mouth... that is not correct though.

jan2905: I think water exiting a small-mouth water hose at point 2 would probably hurt more, because it has a much higher velocity than the water at point 1. Both streams would be at atmospheric pressure immediately upon exit from the nozzle.

but we deduced that p1 would have more pressure therefore hurting more. this math seems to be counterintuitive.

## What is Bournalli's Equation?

Bournalli's Equation is a mathematical formula that describes the relationship between the pressure and volume of a gas at a constant temperature.

## What is the significance of Bournalli's Equation?

Bournalli's Equation is important in understanding the behavior of gases and is commonly used in thermodynamics and fluid mechanics.

## How do you solve a Bournalli's Equation homework problem?

To solve a Bournalli's Equation homework problem, you will need to know the values for pressure, volume, and temperature of the gas. You can then use the equation to calculate the missing variable.

## What are the units for Bournalli's Equation?

The units for Bournalli's Equation are typically expressed as pressure (P) in Pascals (Pa), volume (V) in cubic meters (m^3), and temperature (T) in Kelvin (K).

## What are some real-life applications of Bournalli's Equation?

Bournalli's Equation has many real-life applications, such as in the design of engines and turbines, the study of atmospheric and oceanic currents, and in the production of compressed gases.

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