Flow Rate Calculator. t is the unit time, s. u is the average flow velocity in the pipe, m/s. where is: D - internal pipe diameter; w - mass flow rate; ρ - fluid density; v - velocity. Solving For Flow Rate. Mass density \rho is defined so that: m = \rho V In time period T a volume V of incompressible fluid flows through a pipe with cross-sectional area A. How to calculate gas flow rate from a pressure measurement? Equations for Determing the Mass Flow Rate - Learn Thermo The velocity varies quadratically and the density also is a function of position, ? Calculate Mass Flow Rate to calculating and measuring compressed air flow rate Flow Rate and Its Relation Mass flow is simply Kg/sec . Mass flow rate - Wikipedia Flow Rate To Velocity - Smart Measurement Therefore, the flow rate and the flow rate basically know one to calculate the other parameter. Calculator; Pipe diameter can be calculated when volumetric flow … Input the average velocity of the flow. The units of flow are normally feet per second (fps), feet per minute )fpm), meters per second (mps), and so on. But flow rate also depends on the size of the river. Flow Rate Calculator whose flow rate is 0.34 m 3/min. 1.7 STATE the principle of conservation of mass. This formula assumes uniform flow conditions within the entire cross-sectional area of pipe, without any friction losses near to surfaces. November 10, 2021 ameliadanver faq. To recheck, I calculated the mass flow rate as M' = Rho*A*V. By using all the three above mentioned velocities in the above formula I am not able to get both mass flow rates the same (i.e. Solution: we might instead (for something like a pipe flow) write that the mass flow rate is given by: $\displaystyle{\dot m = \rho v A}$ where $\displaystyle{\rho}$ is the mass concentration (density), v is the (average) velocity in the pipe, and A is the cross section of the pipe so that we can then write the mass flux as: in skydiving) or of any object which is falling freely through air. Q = flow rate, A = Area, V = velocity. Click the CALCULATE button and the answer is 5.236 cubic feet per second AND the answer is in 23 other different units ! Let’s take a case in which the velocity is searched based on flow rate of 15 m 3 /s and diameter of 0.5 m: The velocity value for the above pipe velocity equation is 76.39443721173036 m/s. The volumetric flow rate can be calculated as the product of the cross sectional area (A) for flow and the average flow velocity (v). v = outlet velocity (m/s) C v = velocity coefficient (water 0.97) g = acceleration of gravity (9.81 m/s 2) H = height (m) The liquid volume flow can … Fluids Flow Engineering Hydraulic & Pneumatic Design Engineering Fluid Flow Design and Engineering. Tables give: → for a 1" pipe sch 40, a flow cross-section of 0.006 ft 2 = 5.5742 x 10 -4 m 2. Solution: Given that Velocity = 30 m/s Where we have: ρ: Density of the fluid. A needs to be calculated. ; The above equation is only true for a flat, plane area. m is the unit fluid mass, kg. In order to calculate the average velocity or the flow rate, you need to determine, whether the flow is laminar or turbulent, and also calculate the friction coefficient. If the mass of an object remains constant, the motion of the object can be described by Newton's second law of motion, force F equals mass m times … The anemometer blockage is included on the calibration sheet. To calculate the flowrate of a fluid passing through a venturi, enter the parameters below. In general, including cases where the area is curved, the equation becomes a surface integral: Example: v = (2πr) / T = 50.24 m / 45 s = 1.12 m/s. Flow Rate Solved Examples. Answer (1 of 3): If I understand your question correctly you are wondering how temperature change will affect mass flow rate. The internal diameter of the pipe is 3.83 in. The mass flow rate is just the product of the density, the average velocity and the cross-sectional area for flow. P g = m M R T. where m is the molecular mass of the gas in question, T the temperature, R the gas constant, and M the total mass of the gas remaining in the tank. Convert from volumetric to mass flow rate. (23) m ˙ in, c = m ˙ out, e = m ˙ com. The issue is, what is the flow velocity? (a) Calculate the average speed of the blood in the aorta if the flow rate is 5.0 L/min. V = Q/A, or Q = VA, where V is the average velocity and A is the cross-sectional area of the fluid perpendicular to flow. Flow is measured as a volume or mass per unit time. Venturi Flow Equation and Calculator . From the cross section it is possible to calculate the volume flow rate be multipliing with the velocity of the belt. However, flow is usually measured in volumetric flow rate (ml/min). Orifice differential pressure must be positive. When related to fluids it is the rate of flow of fluid particles in a pipe. The other force is the air resistance, or drag of the object. Divide this product by the time period. The velocity can be calculated as Determine the mass flow rate of air through the fan at an elevation of 3400 m where the air density is 0.7 kg/m 3. This change can be used to measure the flowrate of the fluid. ; The above equation is only true for a flat, plane area. The velocity of any gas, including steam, is a measure of the flow rate divided by the total area of the flow. Answers: 0.238 kg/min, 0.063 m … Mass Flow Rate Equation. and for a circular pipe ( Eqn. Converting velocity to mass flow rate. To do this we work out the area of the nozzle and then multiply it by the velocity of the water coming from the nozzle to give us volume per unit of time. Mass flow rate, volumetric flow rates, and/or orifice diameter were entered as zero or negative. Say the inner diameter of a compressed air pipeline is 100mm, flow rate about 2000Nm3/hr, there is a thermal mass flow meter which can measure 0.9~90 Nm/s. The average rate flow is used in flow calculations. Input and output support metric and imperial measurement units. Online Pipe Velocity Calculator - SI Units. It is convenient when comparing results for columns of different sizes to express flow as flow velocity (cm/h). Mass flow rate refers to the flow rate of fluid quantity expressed by mass. A = Q / V x. Mass flow rate = m / t = ρ * V / t = ρ * Volumetric flow rate = ρ * A * v Thus, Mass Flow Rate = ρ * A * v Example Compute the flow rate of a fluid if it is travelling with a velocity of 30 m/s and has a diameter of 0.05m? The velocity can be calculated as The basic volumetric flow rate equation to determine volumetric flow is: Q = vA. Where, Q is volumetric flow in m 3 /s; v is the flow velocity in m/s; A is area in m 2; A simple example might be water flowing through a rectangular channel that has a 10cm by 5cm cross-section at a velocity of 5 m/s. For low pressure, viscosity will dominate, and velocity will be proportional to pressure. Easily calculate the volumetric flow rate of a pipe (a.k.a. Flow rate and velocity are related by [latex]Q=Av[/latex] where A is the cross-sectional area of the flow and v is its average velocity. The internal diameter of the pipe is 3.83 in. What is mass flow? The mass flow rate equation can be easily derived by simply reviewing the definition of mass flow rate and recalling its standard unit. How do I calculate suction pressure from mass flow rate and/or velocity ? volume flow (m 3 /s) pipe inside diameter (m) Make Shortcut to this Calculator on Your Home Screen? Venturi Flowmeter Calculator. Refer to ASHRAE 90. The greater the velocity of the water, the greater the flow rate of the river. v = C v (2 g H ) 1/2 (1a) where . This implies that; V x = Volume Flow Rate = 9 A = Area = 3. (ø / 2)²) = v tool tocalculate the velocity by entering the previously calculated volume flowrate, and the diameter of … This tool will calculate the volumetric flow rate in any units from the specified velocity of a substance flowing through a defined cross-sectional area. A piping / A core = 17 x 1.52 / 5 = 5.17 m/s. 21.3 ): (21.3)˙V = C × πd2 4 m 3/s. Mass flow rate and inlet velocity at 300 K and 40 mbar are 4.246 g/min and 32.8 cm/s respectively, if the mixture contains 0.33 mol of 2-MTHF (100.116 g/mol molecular weight), 1.3767 mol of oxygen (32 g/mol molecular weight) and 0.5689 mol of AR (40 g/mol molecular weight) how to calculate the inlet velocity at 298 K and 1 atm. When the rate of blood flow in the aorta is 5.0 L/min, the speed of … The flow rate calculator can also calculate the mass flow rate of a fluid given its density is known. To calculate velocity, you can assume a pressure drop of about 6 psi/100 ft. As for using the ideal gas law, assuming you have the molecular weight, that should be fine as pressures are quite low. Solved Example on Flow Rate Example 1. This can be a change in cross sectional area of pipe or a change of flow direction as in a turbine . Mass Flow Rate = (density)*(velocity)*(area of the cross section) m = ρ v A. The precise relationship between flow rate Q Q size 12{Q} {} and velocity v ¯ v ¯ size 12{ {overline {v}} } {} is In order to find the circular velocity of the object in question, you need to divide the calculated circumference by the time period over which the object traveled. A Symbols Q = Volume flow rate v = Flow velocity A = Cross-sectional area n.b. For example if a fluid is flowing through a pipe of … The liquid outlet velocity when draining a tank or a container can be calculated. The refrigerant mass flow rates through the expansion valve and compressor have been used as input and output mass flow rates for the condenser and evaporator: (22) m ˙ in, e = m ˙ out, c = m ˙ tx. This formula assumes uniform flow conditions within the entire cross-sectional area, without any friction losses near to surfaces. Find the mass flow rate when the volume flow rate is 9 and the area is 3. 12.18 Δ m Δ t = m t = ρ V t = ˙ ρ Q = ρ A v Δ m Δ t = m t = ρ V t = ˙ ρ Q = ρ A v Suppose that crude oil with a density of 880 kg/m 3 is flowing through a pipe with a diameter of 55 cm and a speed of 1.8 m/s. 60 US gal/min is flowing through a 4 inch schedule 80 steel pipe. What is the Mass Flow Rate in Fluid Mechanics? V = Water Velocity; Q = Flow Rate; D = Pipe Diameter. If you know mass flow rate, then fluid density has to be known. 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 (m 3 /s). Math. Time and flow rate Q are given, and so the volume V can be calculated from the definition of flow rate. Solved Example on Flow Rate Example 1. Volumetric Flow Rate Measured Enter the volumetric amount of substance that will flow pass in a unit of time. Thus we can say that the mass flow rate is the mass of a liquid substance passing per unit time. v 1 calculate velocity in position one D 1 calculate diameter in position one q calculate flow rate Available only if v 2 calculation is not selected. Similarly, volumetric flow rate can be converted to mass flow rate if the density of the gas measured is known. You should enter values for not selected one. Mass flow rate \dot{m}(\frac{kg}{s}) is the product of fluid density \rho(\frac{kg}{m^3}) and volume flow rate Q (\frac{m^3}{s}). Calculate flow velocity for known pipe diameter and flow rate. 3. Another unit used is standard cubic centimetres per minute (SCCM). It is measured in the unit of kg per second. The density, velocity, and size of the cross-section all influence mass flow. Problem 1: Compute the flow rate of fluid if it is moving with the velocity of 20 m/s through a tube of diameter 0.03 m. Diameter of pipe d=0.03m. Ratio of output pressure p2 abs and input pressure p1 abs which marks the transition from choked flow (sonic velocity in narrowest section) to subsonic flow. Then deduct the velocity pressure from the atmospheric pressure ( pᵢ = pᵢ - pᵥ) Q is the volumetric quantity of gas {m³} you want to shift through the fan every second. (2 points) (Note: this requires the total mass flow rate 0.08374 kg/s) Show transcribed image text. calculate velocity in position two Available only if "use flow rate q in the calculation" is selected. The Thrust given exhaust velocity and mass flow rate formula is defined as the product of mass flow rate of air and aircraft jet velocity and is represented as F = ma*Cj or Thrust = Air flow rate*Jet velocity of aircraft. Density of water at 50°c (323K) at atmospheric pressure = 988.05kg/m3Volume flow rate = 0.001012m3/s Mass flow rate = 988.05kg/m3 x 0.001012m3/sAnswer: 1 kg/s. This flow rate calculator uses flow velocity and cross-sectional flow area data to determine the volumetric flow rate of liquid. Needed to measure both factors to calculate the density to know mass flow then. ! See example conversions of linear velocity to volumetric flow rate and vice versa in this article.The continuity equation, expressing the principle of conservation of mass for a fluid flow system, is used for a variety of pipe flow and open channel flow calculations. Its unit is kilogram per second in SI units and is represented as m = A * u Fluid / SV or Mass Flow Rate = Cross sectional area * Fluid Velocity / Specific Volume.Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to … The circular velocity of the object is 1.12 m/s. To calculate the flowrate of a fluid passing through an orifice plate, enter the parameters below. The other one will be calculated. Note: Tecplot 360 is units-agnostic. Diameter The answer is: It is not yet possible to find the flow velocity and flow rate of the fluid in the pipeline. 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). In the formula, qm is the mass flow rate, kg/s. Mass flow rate. Find the mass flow rate when the volume flow rate is 9 and the area is 3. Calculating Nozzle Flow Rate To work out the flow rate of water from a nozzle we need to work out the volume in a given period of time. Mass flow rate can also be calculated by: ˙ = ˙ = = where: ˙ or Q = Volume flow rate, ρ = mass density of the fluid,; v = Flow velocity of the mass elements,; A = cross-sectional vector area/surface,; j m = mass flux. Answer (1 of 4): Via the mass-density. mass flow rate = density of fluid x area of passage x velocity of flow. The equation of continuity states that for an incompressible fluid, the mass flowing into a pipe must equal the mass flowing out of the pipe. Flow and Velocity Calculations 2 ASM320: Water and Waste Water Operations Volumetric Flow Rate • Q = A V • flowrate is equal to area of flow times the velocity of flow • Dimensions are L3/T = Volume/Time • Typical Units are Gallons/Day, Gallons/Min (gpm) Cubic Feet per second (cfs), etc. NFPA 30 . You need to use the formula Q = AV. The same approach has been used for the refrigerant enthalpies. Mollier diagrams included. What is Thrust given exhaust velocity and mass flow rate? F(volumetric flow)=14.1~494.4m3/hr; V: 2~70m/s of VFM60MV; M=59.6 ~ 2085.2kg/hr; Superheated steam mass flow calculation formula. Input all the measurements required to compute the cross-sectional area. You can just use the inlet density in the equation you have as its not gonna change much along the pipe. Where, ṁ is the mass flow rate in kg/s. Velocity of water flow in a pipe: an example. Flow velocity in the cold leg is equal to 17 m/s. A rapid mountain stream carries far less water than the Amazon River in Brazil, for example. Converting from Flow Velocity to Volumetric Flow Rates. Thus the mass contained in 28 m of pipe would be: 28 x 5.5742 x 10 -4 x 3.1198 = … This is the actual volumetric flow rate. The mass flow rate is just the product of the density, the average velocity and the cross-sectional area for flow. v = Flow velocity A = Cross-sectional area r = Radius ø = Diameter n.b. For each new calculation a unique conversion scale will be generated for the range of flow velocities and volumetric flow rates with the cross sectional area specified. Inputs: Area 1 When related to fluids it is the rate of flow of fluid particles in a pipe. Example - Flow Velocity in a Steel Pipe. M' and M are not equal). Determine the rate of flow through a given duct or pipe. Also, if the average velocity of air is not to exceed 110 m/min, determine the diameter of the casing of the fan. Mass flow rate formula The mass flow rate ṁ is the flow of mass m through a surface per unit time t, therefore the formula for mass flow rate, given the volumetric flow rate, is ṁ = Q * ρ where ρ (Greek lower-case letter rho) is the volumetric density of the substance. See the answer See the answer done loading. Provided underneath are the questions grounded on flow rate which may be useful for you. Calculate volumetric flow rate of ideal gas at different conditions of pressure and temperature. Example - Flow Velocity in a Steel Pipe. The answer is: It is not yet possible to find the flow velocity and flow rate of the fluid in the pipeline. You can calculate the flow rate in five simple steps: Select the shape of the cross-section of the channel. Further, the volume flow rate can be calculated by multiplying the cross-sectional area vector area (A) and the flow velocity of the mass elements (v). Calculate pipe diameter in an easy way Take a look at these three simple examples and find out how you can use the calculator to calculate the pipe diameter for known fluid flow and desired fluid flow rate. Where the ratio of the absolute source pressure to the absolute downstream ambient pressure is less than [ ( k + 1 ) / 2 ] k / ( k - 1 ) , then the gas velocity is non-choked (i.e., sub … "Need Δp > 0". Laminar flow is a form of fluid (gas or liquid) flow in which the fluid flows smoothly or in regular patterns. Mini lecture on mass flow rate, volumetric flow rate, average velocity and cross sectional area for mass balance analysis about a control volume. The average rate flow is used in flow calculations. "M or Q, and Δp must be >0". Mass flow rates for all models The following table shows mass flow rates using 316L stainless steel (S/A), nickel alloy C22 (H/B), and high pressure (P). It is the movement of mass per unit of time, in other words. Volumetric flow rate equation. v: Velocity of the fluid. 1.6 CALCULATE either the mass flow rate or the volumetric flow rate for a fluid system. Mass Flow Rate Equation. This calculator may also be used to determine the appropriate pipe diameter required to achieve a desired velocity and flow rate. Density is calculated using the equation for the perfect gas. Suppose water is flowing from a circular pipe that has a radius of 0.0800 m. Furthermore, its velocity is 3.30 m/s. Which is the apropriate value of velocity that one should consider to re-calculate accurately the mass flow rate? The equation is based on the Bernoulli equation, conservation of energy, and the continuity equation. 1.5 DEFINE the terms mass flow rate and volumetric flow rate. You should enter values for not selected one. The mass flow formula: Mass Flow Rate = (density) × (velocity) × (area of the cross-section) Mathematically, … 1.8 CALCULATE the fluid velocity or flow rate in a specified fluid system using the continuity equation. We know mass flow rate is nothing but the mass of a substance passing per unit time. Share. This calculator can be used to measure the steam pipe velocity calculator. One force is the gravitational force, expressed as the weight of the object. Enter 2 in the pipe diameter box and choose feet from its menu. For example, P=7barG, T=225℃ Calculation of velocity. Enter 20 in the in the velocity box and choose inches per second from its menu. Calculating the Area when the Volume Flow Rate and the Mass Flow Rate is Given. "Need Δp < P 1 ". Discussion Is flow rate flow velocity? In order to calculate the average velocity or the flow rate, you need to determine, whether the flow is laminar or turbulent, and also calculate the friction coefficient. Ans: Mass flow rate is calculated by producing the volume flow rate by the mass density of the fluid ( ρ). How do you convert flow rate to velocity? 8 m / s 2 A. 60 US gal/min is flowing through a 4 inch schedule 80 steel pipe. This calculator can be used to measure the steam pipe velocity calculator. The formula we use to determine system flow rate assumes a mass flow rate of 500 lbs per hour for each GPM, which means at a 20°^T, 1 GPM will convey 10,000 BTUH (500 x 20) referenced to 60°F water. F61 AUTOCLEAN® Series: Self-Washing Electrostatic Air Cleaner For Kitchen Exhaust and Smoke. Suppose water is flowing from a circular pipe that has a radius of 0.0800 m. Furthermore, its velocity is 3.30 m/s. Micro Motion has adopted the term nominal flow rate, which is the flow rate at which water at reference conditions causes approximately 14.5 psig (1 barg) of pressure drop across the meter. After the slice has been extracted to new zones, we are ready to calculate the mass flow rate. What happens to the heat conveyance of 1 GPM at 20°F ^T when the circulated water has an average temperature of 200°F? Q = V x x A Q = 9 x 3 Q = 27. A= { (3.14)/4} (0.03) (0.03) Available only if the gas is selected fluid ... You can use the calculator for all fluids and flow rates without any restriction. For example for gravel with an angle of repose of 15 ° a belt of 650mm width and identical idlers with a troughing angle of 35° can be loaded with a cross section of material of 0.045 m². You can also figure out the air velocity at different portions of the pipes by using the … Substituting known values yields V = (5.00 L 1 min)(75y)( 1 m3 103 L)(5.26×105min y) = 2.0×105m3 V = ( 5.00 L 1 min) ( 75 y) ( 1 m 3 10 3 L) ( 5.26 × 10 5 min y) = 2.0 × 10 5 m 3. The flow rate calculator can also calculate the mass flow rate of a fluid given its density is known. Just as before, you can then use the volumetric air flow rate and the following formula to calculate the air speed: u air = Q air / (π.D 2 /4) = 0.169/ (π*0.08 2 /4) = 33.7 m/s. ρ is the fluid density, kg/m3. Make sure to use our flow rate calculator to convert between the discharge (volumetric flow rate) and the mass flow rate. Solving For Flow Rate. The flow rate calculator can also calculate the mass flow rate of a fluid given its density is known. Example calculation. Solved Example on Flow Rate Example 1. ρ is the density in kg/m 3. From the two equations above it can be derived that: Mass Flow Rate (ṁ) = V × A × ρ. Therefore, the mass flow rate is 27. The venturi meter device measures the flow rate or velocity of a fluid through a pipe. If the flowing fluid is gas, then instead of density, you have to know gas constant, absolute pressure, and temperature. Density of water at 50°c (323K) at atmospheric pressure = 988.05kg/m3Volume flow rate = 0.001012m3/s Mass flow rate = 988.05kg/m3 x 0.001012m3/sAnswer: 1 kg/s. A fluid passing though an orifice constriction will experience a drop in pressure across the orifice. v 2 This implies that; V x = Volume Flow Rate = 9 A = Area = 3. Mass flow rate Formula Questions: 1) A fluid is moving through a tube at 10 m/s, the tube has a transverse area of 0.3 m 2. Therefore, the flow rate and the flow rate basically know one to calculate the other parameter. When the gas velocity is choked, the equation for the mass flow rate is: or. The equation is based on the Bernoulli equation, conservation of energy, and the continuity equation. Expert Answer. In any case, the geometry of the opening matters. First, under Analyze > Fluid Properties, we need to specify the gas constant for air at 287 Joules per kilogram Kelvin.Then we need to define our convective and state variables under Analyze > Field Variables.. The venturi meter device measures the flow rate or velocity of a fluid through a pipe. So, calculate the flow rate of water that flows from the pipe in liters per second (L/s)? Volumetric flow rate. 8 m / s 2 A. In contrast, in turbulent flow, the fluid suffers unpredictable fluctuations and mixing. Fluid density will … Question: calculate Inlet velocity, in m/s. FIRST CLICK ON WHAT YOU ARE SOLVING FOR - FLOW RATE. The mass flow rate is simply the fluid density multiplied by the volumetric flow rate, or: m = ρQ = ρVA, where ρ = the density of the fluid. An alternative, and more direct, expression for volumetric flow rate is derived from the flow situation: ˙V = Velocity × Flow Area. Mass Flow Rate = (density)* (velocity)* (area of the cross-section) m = ρ v A. V: velocity of flow meter, unit is m/s D: pipe inner size, unit is mm; Volume flow rate unit: m3/hr. I am currently working on an aerodynamics project that requires the use of suction to prevent flow separation. It is not simple, and it depends on pressure, which is proportional to height. As a result of the Continuity principle the velocity at the bottom of the core is: v inlet = v cold . A: Area or cross section. The average mass flow rate can be found from the flow rate. The following formula is used by this calculator to populate the value for the flow rate, pipe diameter or water velocity, whichever is unknown: V = 0.408 × Q/D2. You can calculate the flow rate in five simple steps: Select the shape of the cross-section of the channel; Input all the measurements required to compute the cross-sectional area; Input the average velocity of the flow Is volume flow rate the same as velocity? Temperature and pressure are independent variables. → the density of nitrogen at 298 K and 40 psia: 3.1198 kg/m 3. Calculating the Area when the Volume Flow Rate and the Mass Flow Rate is Given. Online Pipe Velocity Calculator - SI Units. Solution Solving Q = V / t for volume gives V = Qt. In real fluids, however, the density does not remain fixed as the velocity increases because of compressibility effects . This is a function of time because mass is leaving the tank. To calculate pipe diameter, you have to know flow velocity and flow rate. Calculating the velocity of steam enables plumbers and steamfitters to gauge the appropriate thickness of pipe through which to deliver this essential gas. volume flow (m 3 /s) pipe inside diameter (m) Make Shortcut to this Calculator on Your Home Screen? But if the pipe diameter D and the pressure P in the pipe are known, can the flow rate be calculated? The terminal velocity calculations requires that you know the mass of the falling object, the drag coefficient, the density of the fluid through which it is falling and the projected area of the object or body. Suppose water is flowing from a circular pipe that has a radius of 0.0800 m. Furthermore, its velocity is 3.30 m/s. Q = V x x A Q = 9 x 3 Q = 27. In general, including cases where the area is curved, the equation becomes a surface integral: Therefore the calculation is between velocity and volume flow. Formula of Mass Flow Rate The mass flow formula is given by, m=ρVA Where ρ = density of fluid, V = velocity of the liquid, and A = area of cross-section Solved Examples Example 1 Determine the mass flow rate of a given fluid whose density is 800 kg/m3, velocity, and area of cross-section is 30 m/s and 20 cm2 respectively. You should enter selected one. The equation for conversion of linear velocity (average velocity) to volumetric flow rate comes from the definition for average velocity mentioned above: V = Q/A, or Q = VA, where V is the average velocity and A is the cross-sectional area of the fluid perpendicular to flow. This flow rate calculator uses flow velocity and cross-sectional flow area data to determine the volumetric flow rate of liquid. Now, consider the two velocity profiles on the previous page. Inputs: Area 1 (b) Blood also flows through smaller blood vessels known as capillaries. 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