Calculating Mass Flow Rate of a Fluid in a Pipe

In summary, the conversation is about calculating the mass flow rate of a fluid flowing through a pipe with given parameters such as diameter, flow velocity, and specific volume. The formula for calculating mass flow rate is provided and the correct answer is confirmed. The person is also encouraged to understand the reasoning behind the formula.
  • #1
felixj500
5
0
Hi, how do i work this one out?

The mass flow rate of a fluid flowing through a section of pipe with a diameter of 38mm at a flow velocity of 5ms-1 with a specific volume of 0.00109 m3/kg is?

Thanks,
 
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  • #2
mass flow rate = density * area * velocity
density = 1 / specific volume

mass flow rate = 5.202 kg/s

is that right?
 
  • #3
You have:
Pipe diameter
Flow velocity
and sp.Vol.

Look at your units, then look at the units of the answer you expect and try to work it out. Equations are not enough, try to understand what is happening.

You've got a mass of liquid flowing through a pipe at a certain velocity, yea? The pipe has a given cross sectional area, and a specific amount of liquid will pass through a given cross section at any time, given the flow velocity, right?

So think about how you can relate these variables into something usable.
 
  • #4
Also, yep. That's correct. Do you understand how that formula makes sense, though?
 

What is mass flow rate and why is it important?

Mass flow rate is the measurement of the amount of mass that passes through a given point in a specified period of time. In terms of fluid in a pipe, it measures the amount of fluid that flows through the pipe per unit time. It is important because it helps in understanding and predicting the behavior of fluids in a system, which is crucial in many scientific and engineering applications.

How is mass flow rate calculated for a fluid in a pipe?

The mass flow rate of a fluid in a pipe can be calculated by multiplying the density of the fluid by the velocity of the fluid and the cross-sectional area of the pipe. This can be expressed as M dot = ρ * V * A, where M dot is the mass flow rate, ρ is the density of the fluid, V is the velocity of the fluid, and A is the cross-sectional area of the pipe.

What are the units of mass flow rate?

The units of mass flow rate are typically kilograms per second (kg/s) or pounds per second (lb/s). However, it can also be expressed in other units such as grams per second (g/s) or tons per hour (t/h), depending on the specific application and system of measurement used.

How does the mass flow rate affect the pressure and velocity of a fluid in a pipe?

The mass flow rate is directly proportional to both the velocity and the pressure of a fluid in a pipe. This means that as the mass flow rate increases, so does the velocity and pressure of the fluid. Conversely, a decrease in the mass flow rate will result in a decrease in the velocity and pressure of the fluid.

What factors can affect the mass flow rate of a fluid in a pipe?

The mass flow rate of a fluid in a pipe can be affected by several factors, including the diameter and length of the pipe, the viscosity of the fluid, the density of the fluid, the inlet and outlet conditions, and any obstructions or restrictions in the pipe. Changes in any of these factors can result in a change in the mass flow rate of the fluid.

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