If a drain pipe 18 inches in diameter is running from a surface storm drain into a body of water where the discharge is submerged will the water flow out of the submerged open end. Storm drain is approximately 6 feet above the submerged end of the pipe.

To determine if water will flow out of the submerged open end of the drain pipe, we need to consider the pressure difference between the surface storm drain and the submerged end of the pipe, as well as the flow rate of the water.

One way to calculate this is by using Bernoulli's principle, which relates the pressure, velocity, and height of a fluid. In this case, we can consider the height difference between the surface storm drain and the submerged end of the pipe.

Bernoulli's principle states that as the height of a fluid above a reference point increases, the pressure decreases. Conversely, as the height above the reference point decreases, the pressure increases.

Let's break down the problem step-by-step:

1. First, convert the height difference from feet to inches. Since 1 foot is equal to 12 inches, the height difference of 6 feet is equivalent to 6 x 12 = 72 inches.

2. Calculate the pressure difference caused by the height difference. The pressure difference between two points in a fluid can be determined using the equation: ∆P = ρgh, where ∆P is the pressure difference, ρ is the density of the fluid (water in this case), g is the acceleration due to gravity (approximately 32.2 ft/s^2 or 386 inch/s^2), and h is the height difference in inches.

Plugging in the values, we get ∆P = (density of water) x (386 inch/s^2) x (72 inches).

3. Determine the flow rate of the water. The flow rate through a pipe is typically measured in gallons per minute (GPM). In this case, since we don't have specific information about the flow rate, we can't calculate it directly.

However, if the drain pipe is properly designed and sized to handle the flow of water from the surface storm drain, then we can assume that the flow rate is sufficient for the water to continuously flow out of the submerged open end.

Based on these calculations and assumptions, we can conclude that the water will likely flow out of the submerged open end of the drain pipe, given that the pipe is designed properly and the flow rate is sufficient.

Yes, the water will flow out of the submerged open end of the drain pipe. In this scenario, the water in the storm drain system is at a higher elevation compared to the submerged end of the pipe in the body of water. This means that there is a difference in hydraulic head, which creates a pressure gradient that forces the water to flow out of the pipe.

As the water flows from the higher elevation of the storm drain system to the lower elevation of the submerged end of the pipe, it experiences a decrease in pressure. This decrease in pressure allows the water to flow out of the pipe and into the body of water, following the laws of fluid dynamics.

However, it is important to note that the flow rate and velocity of the water will depend on various factors such as the slope of the pipe, any obstructions or bends in the pipe, and the hydraulic characteristics of the storm drain system.