In physics and engineering, in particular fluid dynamics, the volumetric flow rate (also known as volume flow rate, rate of fluid flow, or volume velocity) is the volume of fluid which passes per unit time; usually it is represented by the symbol Q (sometimes V̇). The SI unit is cubic metres per second (m3/s). Another unit used is standard cubic centimetres per minute (SCCM).
In hydrometry, it is known as discharge.
In US customary units and imperial units, volumetric flow rate is often expressed as cubic feet per second (ft3/s) or gallons per minute (either US or imperial definitions).
Volumetric flow rate should not be confused with volumetric flux, as defined by Darcy's law and represented by the symbol q, with units of m3/(m2·s), that is, m·s−1. The integration of a flux over an area gives the volumetric flow rate.
(a) Is it true that if the mass flow rate of a gas is low, say 2g/s (grams per second), the friction losses and other losses in the piping will be negligible?
(b) If it is true that losses in the piping are negligible, is it the Euler's dimensionless number that we can use to prove this...
How would i calculate the change of flow rate when i have the intial rate, the length, and diameter of tubing ?
Say I get an initial flow of 100gph and the tubing the water travels through is .5inch diameter and 16 inches long.
What is the flow at the end of the tubing?
Could I also calculate...
Homework Statement
An alcohol flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 43.7 cm2 to A2= A1/4. The pressure difference Δp between the wide and the narrow sections of the pipe is 8.8 kPa. What is the volume flow rate ΔV/Δt of the alcohol? The density...
Hi,
I want to know how high the flow rate trough a pipe is (outlet), but I only now the pressure difference (0.7MPa or 7 bar), and the diameter of the pipe.
At what speed (or for that matter volume) does air leave a pipe when the pressure difference is 7 bar, and the diameter is 25.4mm...
I want to pump fluids (flow rate) through a drill string to a downhole motor some distance beneath the surface building up some differential pressure (psi). depending on the amount of differential pressure and the flow rate (gpm) the motor rotates at some rotational speed (rpm). what is the...
Homework Statement
A liquid is flowing through a horizontal pipe whose radius is 0.02m. The pipe bends staight upward through a height of 10.0m and joins another horizontal pipe whose radius is 0.04m.
Homework Equations
what volume flow rate will keep the pressures in the two horinontal...
hello all,
i am from electrical background and for a project i need to analyse the flow of oil through a hollow copper tube when the tube is subjected to some amount of heat. the outcome should tell me if the heat will be absorbed by the oil and what would be the stress points when i apply...
Hello,
I have some physics homework and I'm not looking for the answers. Rather, the textbook I currently use does not seem to be doing a good job (in my opinion) in explaining the topics. If anyone has seen some of these questions before and know what textbook they are used in, please let me...
Hello Everyone,
I am Mayur
I am working on a system, in the system there is one diffuser through which exhaust gases at 3000K are flowing at a rate of 170Kg/s. The material of diffuser is Stainless Steel. The diffuser is double walled type with cooling water flowing between the walls.
I need...
Homework Statement
The absolute value of the heat flow rate through a slab of area 0.83 m2 is 240 W. The
thickness of the slab is 1.4 cm and its thermal conductivity is 0.6 W/(m·K). If the hot surface of the slab is at 40°C find the temperature of the cold surface.
Homework Equations...
Hi I am a post-doc student in a field having very little to do with physics and math.
currently I am designing an experiement and have (i hope) a relatively simple question.
here is the scenario:
A ziplock bag (or similarly non-elastic reservoir) contains water, but is not maximally...
Homework Statement
An average person has about 5 litres of blood in
their body. The heart circulates all this blood
around the body in only about 1 minute. Find the
time averaged volumetric flow rate Q of the aorta,
which is a pipe of inner diameter 2.2 cm. Find
the time and space...
Homework Statement
How can you determine the mass flow rate, given that net power output is 100 MW, of the cooling water if it enters the condenser at 20 C and leaves at 35 C.
Homework Equations
The Attempt at a Solution
I thought that mass flow rate is the same all through...
Homework Statement
I just need to get these eqn's together to form a DE
Homework Equations
Q = CA*sqrt(2gH) = -dV/dt
and
V = pi/3 * H^2 * (3*r - H)
These eqn's refer to a sphere which has a flow Q of fluid out the bottom of said sphere. The radius of the sphere is r, the height H is from...
Homework Statement
To better fight fires in your seaside community, the local fire brigade has asked you to set up a pump system to draw seawater from the ocean to the top of a steep cliff adjacent to the water where most of the homes are.
1. If the cliff is 12.0 m high, and the pump is...
Homework Statement
Oil flowing through a pipe, measured to be 135kPa 15m from the end and 88kPa discharging from the end. The diameter of the pipe is 1.5cm, the density of the oil is 876kg/m^3, and the dynamic viscosity is 0.24kg/m*s.
Find flow rate for:
a) horizontal
b) inclined 8...
Hi all,
I am designing a pressure relief system for a high pressured gas (air) system. System consists of a highly pressurised gas receiver with PSV mounted driectly on it which vents via tailpipes to atmosphere.
I know the max mass flow rate out of the container
I know the back pressure...
I'm having trouble calculating the required pressure to get the desired volume flow rate (at outlet conditions). I'm no expert at compressible fluid systems, but I ended up being the one to design it...
The system must feed helium vertically through 3/8" ID, 112 ft long tubing (ID can vary, I...
hi
how to find air mass flow rate in jet engine?
we are using thrust/Isp equation to find the mass flow rate for rocket equation. is that any formula available for finding the mass flow rate in jet engine
A drug delivery infusion pump is made out of thick synthetic rubber and has a very small outlet. The balloon pump is filled with 500mL liquid drug and is now inflated into a ball shape. The drug will exit from the very small outlet at a nearly (but not always) constant flow rate of 5mL/hr (takes...
A drug delivery infusion pump is made out of thick synthetic rubber and has a very small outlet. The balloon pump is filled with 500mL liquid drug and is now inflated into a ball shape. The drug will exit from the very small outlet at a nearly (but not always) constant flow rate of 5mL/hr (takes...
Please help I'm going round in circles!
Water on tank 12m high, feeding pipe 200m long and 125mm diameter. Open end.
Given friction factor of 0.008 for the pipe and total of 3.2K for various fittings.
Asked to find water flow rate in Kg/s in the pipe.
Been looking at this for ages...
Hi
I am designing a heat exchanger. I know the mass flow rate required for cooling. I have calculated the pressure drop for current design. How do I work out if the size if the heat exchanger can handle the flow rate ? Does the mass flow rate depend on the size of the heat exchanger tubes ...
Homework Statement
A horizontal water main with a cross-sectional area of 220 cm2 necks down to a pipe of area 55 cm2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 85 kPa. Determine the flow rate through the system, taking the fluid to...
hi all,
First all my disipline is not fluids so this is why asking for little help here on the following.
Basically i have all the required information but i can't seem to figure out how the answer to the mass flow rate of an orifice is obatained, its doing my head in, if anyone could...
need help in flow rate...
hi, i am just new here... hope anybody could help me here...
i am making a pond just like my username says...
my problem is, my pond is around 2000L and has an outlet of 2inches at the bottom corner of the pond. how do i compute the flow rate, coz i want to...
Homework Statement
Hello everyone, I'm working on a summer project with filters (they're rather simple). Anyways, my professor suggested that I calculate flux through the final surface of the filter, which I guess is speed of water?
Long story short, I'm having a real problem with this... I...
1. A large tank isopen to the atmosphere and is filled with water. A small hole is 16m below the surface of the water. If the flow rate of the water is out of the hole is 2.5e^3 m^3/min, calculate: a)the velocity of the water as it leaves the hole and b) the diameter of the hole.
2. Let's say...
Hi, I'm currently trying to work out the forces involved in raising a traffic barrier.
It works using hydrolics.
It has a motor that has a speed of 1400 rpm and 1/3 hp. the torque of the motor is 200Nm
the pump is a lobe pump and has a delivery of 1.5 l/min.
The pump will move the...
I want to clarify this because I'm still not sure how to find the mass flow rate, for instance from a rocket. I still puzzled from the formula that describes the mass flow rate which is \frac{dv}{dt}. This the formula that I'm currently looking over but I'm not sure if its this formula to find...
Homework Statement
At a point upstream the measured mass flow rate is 10 kg/s, downstream of this location the velocity profile is measured and obeys the relationship u(r) = U(max)(1-(r/R)^(1/5)) where R is 0.16 m. Find U(max). The diagram provided with the question is provided below...
I'm now making a vacuum chamber.
The gauge pressure inside the vacuum chamber is about 250 mmHg.
There will be some gap on the operating surface, about 2 mm width.
The thickness of the gap is between 1 - 10 mm.
What is the maximum flow rate per meter for the vacuum chamber?
Homework Statement
Water flowing out of a 15.0mm -diameter faucet fills a 1.50 L bottle in 5.00s. At what distance below the faucet has the water stream narrowed to 10 mm in diameter?
Homework Equations
Bernoulli's equation: P_1+pgh+1/2pv^2=constant
Q(volume flow rate)=vA
Continuity...
Homework Statement
A pump at ground level creates a gauge pressure of 102 kPa in the water line supplying an apartment building. The water leaves the tank into a pipe at a negligible speed. It travels up 10 m through the building and exits through a faucet. The cross-sectional area of the...
I'm trying to get my head around this question but having missed a few lecture through illness I'm going round in circles.
Water is fed from a tank 12m above ground along a pipe 200 m long with a diameter of 125mm. Pipe frictyion factor is 0.008. K factors for the fittings, (tank exit, valve...
Is it possible to calculate the flow rate of water through a restrictionless device (a tank, for example) if you know the inlet & outlet diameters and pressures?
I've been looking all over, but all I can seem to find is formulas for pressure drop in a length of pipe...
Thanks!
Homework Statement
see attachment
Homework Equations
Av=dV/dt
mass flow rate =roe*dV/dt
The Attempt at a Solution
the velocity at point c is 50m/s and the area of the opening is 0.04m^2. (50m/s)(0.04m^2)(1000kg/m^3)=2000Kg/s
Homework Statement
A horizontal pipe 10.0cm in diameter has a smooth reduction to a pipe
5.00cm in diameter. If the pressure of the water in the larger pipe is
8.00x10^4Pa and the pressure in the smaller pipe is 6.00x10^4Pa, at
what rate does water flow through the pipes?
Homework...
i have got a problem with a calculation involving a filter, i hope you all with lend me a helping hand.
to calculate a diameter of a cylinder is rather easy, but how to determine the size of the water filter knowing only the flow rate of the pipe, diameter of the piping and the pressure of...
Mass is the product of density and volume.
Mass flow rate is the product density, velocity, and cross-sectional area. (It's the derivative of mass with respect to time.)
Bare with the syntax please...
Looking at a sphere within a larger sphere, the volume of the difference is...
Homework Statement
Find the viscosity of water given that;
flow rate (cm^3 s^{-1}) = 2.0
height from tube (m) = 0.1
l (m) = 0.2
r (mm) = 1
\rho = 1000
g = 9.81
Using the equations;
x = \frac{Flow Rate}{Height}
x = \frac{\pi \rho gr^4}{8l\eta}The Attempt at a Solution
Okay so first, and...
hi,
problem:
I have a flat plate of dimensions 2.6*2.2, above which a 4mm sheet of water is there(stagnant). Now i will lift the plate on one side, with certain rate till i reach the plate inclination some 10 deg.
Physics:
when i start lifting the plate on one side, water starts flowing...
I need help with flow rate please!
Homework Statement
A pump at ground level creates a gauge pressure of 102 kPa in the water line supplying an apartment building. The water leaves the tank into a pipe at a negligible speed. It travels 10m up through the building and exits through a faucet...
Homework Statement
A room measures 3.5m by 4.5m by 6.0m. If the heating and air conditioning ducts to and from the room are circular with diameter of 0.30m and all the air in the room is to be exchanged every 12 min, (a) what is the average flow rate ?
Homework Equations
A1*V1=A2*V2...
Volume Flow Rate, Help?
1. The problem statement, all variable and given/known data
The volume flow rate in an artery supplying the brain is 3.5E-6 m^3/s.
(a.) If the radius of the artery is 5.4E-3 m, determine the average blood speed.
(b.) Find the average blood speed at a constriction...
Homework Statement
Consider the filling of a horizontal wedge-shape trough of height H, length, L, and width, B with water. (Imagine a water trough for horses with ends that are matching triangles). The volumetric flow rate of water in is given by Qi and the flow rate out by Qj. Obtain an...
Homework Statement
An irrigation pipe of diameter 20cm carries water at an average speed of 0.1 m/s. By what factor must the pipe diameter be increased to achieve a flow rate of 1.00 m^3/min?
The answer given is a factor of 5.3.
Homework Equations
Poiseuille's equation
Q =...
Hi
I have a question about measuring volume flow rate with a laminar flow element.
I read the pressure difference across the element (mmH2o) and I get volume flow rate (cfm) from a calibration law. If that calibration law was obtained at standard conditions, would I have to correct it for...
Homework Statement
Adiabatic Steam turbine produces 4000 kW
Steam is fed at 21 bar/475 deg C
Exhaust is saturated steam (P=0.1bar)
Exhaust is fed into condenser where it is cooled to 30 deg C
Problem asks for flow rate of cooling water supplied to condensener if water enters at 15 deg C...