Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube Calculator

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area [A_T]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean velocity [u_m]			+10% -10%

✖Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.ⓘ Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube [ṁ]

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Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

Formula

`"ṁ" = "ρ"_{"Fluid"}*"A"_{"T"}*"u"_{"m"}`

Example

`"133.7455kg/s"="1.225kg/m³"*"10.3m²"*"10.6m/s"`

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Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity
ṁ = ρ_Fluid*A_T*u_m
This formula uses 4 Variables

Variables Used

Mass Flow Rate - (Measured in Kilogram per Second) - Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Cross Sectional Area - (Measured in Square Meter) - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Mean velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

STEP 1: Convert Input(s) to Base Unit

Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Cross Sectional Area: 10.3 Square Meter --> 10.3 Square Meter No Conversion Required
Mean velocity: 10.6 Meter per Second --> 10.6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ṁ = ρ_Fluid*A_T*u_m --> 1.225*10.3*10.6

Evaluating ... ...

ṁ = 133.7455

STEP 3: Convert Result to Output's Unit

133.7455 Kilogram per Second --> No Conversion Required

FINAL ANSWER

133.7455 Kilogram per Second <-- Mass Flow Rate

(Calculation completed in 00.004 seconds)

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< 25 Convection Heat Transfer Calculators

Recovery Factor

Go Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream)/(Stagnation Temperature-Static Temperature of Free Stream))

Local Stanton Number

Go Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate

Go Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)

Correlation for Nusselt Number for Constant Heat Flux

Go Local Nusselt number = (0.4637*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0207/Prandtl Number)^(2/3)))^(1/4)

Local Velocity of Sound

Go Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium))

Drag Coefficient for Bluff Bodies

Go Drag Coefficient = (2*Drag Force)/(Frontal Area*Density of Fluid*(Free Stream Velocity^2))

Drag Force for Bluff Bodies

Go Drag Force = (Drag Coefficient*Frontal Area*Density of Fluid*(Free Stream Velocity^2))/2

Shear Stress at Wall given Friction Coefficient

Go Shear Stress = (Friction Coefficient*Density of Fluid*(Free Stream Velocity^2))/2

Reynolds Number given Mass Velocity

Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Nusselt Number for Plate heated over its Entire Length

Go Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3))

Local Stanton Number given Prandtl Number

Go Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))

Local Nusselt Number for Constant Heat Flux given Prandtl Number

Go Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3))

Local Nusselt Number for Plate Heated over its Entire Length

Go Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))

Nusselt Number for Turbulent Flow in Smooth Tube

Go Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4))

Local Stanton Number given Local Friction Coefficient

Go Local Stanton Number = Local Friction Coefficient/(2*(Prandtl Number^(2/3)))

Local Velocity of Sound when Air Behaves as Ideal Gas

Go Local Velocity of Sound = 20.045*sqrt((Temperature of Medium))

Mass Velocity

Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

Go Mass Velocity = Density of Fluid*Mean velocity

Local Friction Coefficient given Local Reynolds Number

Go Local Friction Coefficient = 2*0.332*(Local Reynolds Number^(-0.5))

Local Skin Friction Coefficient for Turbulent Flow on Flat Plates

Go Local Friction Coefficient = 0.0592*(Local Reynolds Number^(-1/5))

Friction Factor given Reynolds Number for Flow in Smooth Tubes

Go Fanning Friction Factor = 0.316/((Reynolds Number in Tube)^(1/4))

Stanton Number given Friction Factor for Turbulent Flow in Tube

Go Stanton Number = Fanning Friction Factor/8

Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow

Go Recovery Factor = Prandtl Number^(1/3)

Recovery Factor for Gases with Prandtl Number near Unity under Laminar Flow

Go Recovery Factor = Prandtl Number^(1/2)

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube Formula

Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity
ṁ = ρ_Fluid*A_T*u_m

What is Convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid. Convection is the process of heat transfer in fluids by the actual motion of matter. It happens in liquids and gases. It may be natural or forced. It involves a bulk transfer of portions of the fluid.

What are the Types of Convection?

There are two types of convection, and they are:
Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds.

Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection.
Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

How to Calculate Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube?

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube calculator uses Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity to calculate the Mass Flow Rate, The Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube formula is defined as the product of density, mean velocity and the area. Consider the flow in a tube. A boundary layer develops at the entrance, Eventually the boundary layer fills the entire tube, and the flow is said to be fully developed. If the flow is laminar, a parabolic velocity profile is experienced. When the flow is turbulent, a somewhat blunter profile is observed. In a tube, the Reynolds number is again used as a criterion for laminar and turbulent flow. Mass Flow Rate is denoted by ṁ symbol.

How to calculate Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube using this online calculator? To use this online calculator for Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube, enter Density of Fluid (ρ_Fluid), Cross Sectional Area (A_T) & Mean velocity (u_m) and hit the calculate button. Here is how the Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube calculation can be explained with given input values -> 133.7455 = 1.225*10.3*10.6.

FAQ

What is Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube?

The Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube formula is defined as the product of density, mean velocity and the area. Consider the flow in a tube. A boundary layer develops at the entrance, Eventually the boundary layer fills the entire tube, and the flow is said to be fully developed. If the flow is laminar, a parabolic velocity profile is experienced. When the flow is turbulent, a somewhat blunter profile is observed. In a tube, the Reynolds number is again used as a criterion for laminar and turbulent flow and is represented as ṁ = ρ_Fluid*A_T*u_m or Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube?

The Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube formula is defined as the product of density, mean velocity and the area. Consider the flow in a tube. A boundary layer develops at the entrance, Eventually the boundary layer fills the entire tube, and the flow is said to be fully developed. If the flow is laminar, a parabolic velocity profile is experienced. When the flow is turbulent, a somewhat blunter profile is observed. In a tube, the Reynolds number is again used as a criterion for laminar and turbulent flow is calculated using Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity. To calculate Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube, you need Density of Fluid (ρ_Fluid), Cross Sectional Area (A_T) & Mean velocity (u_m). With our tool, you need to enter the respective value for Density of Fluid, Cross Sectional Area & Mean velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mass Flow Rate?

In this formula, Mass Flow Rate uses Density of Fluid, Cross Sectional Area & Mean velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mass Flow Rate = Mass Velocity*Cross Sectional Area

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