Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes Calculator

✖Mass Flowrate is the mass of a substance that passes per unit of time.ⓘ Mass Flowrate [M_flow]			+10% -10%
✖Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.ⓘ Fluid Density [ρ_fluid]			+10% -10%
✖Number of tubes in a heat exchanger refers to the count of individual tubes that form the heat transfer surface inside the heat exchanger.ⓘ Number of Tubes [N_Tubes]			+10% -10%
✖Pipe inner diameter is the inner diameter where in the flow of fluid takes place. Pipe thickness is not taken into account.ⓘ Pipe Inner Diameter [D_inner]			+10% -10%

✖Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.ⓘ Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes [V_f]

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Formula

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Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes

Formula

`"V"_{"f"} = (4*"M"_{"flow"})/("ρ"_{"fluid"}*"N"_{"Tubes"}*pi*("D"_{"inner"})^2)`

Example

`"2.462956m/s"=(4*"14kg/s")/("995kg/m³"*"55"*pi*("11.5mm")^2)`

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Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fluid Velocity = (4*Mass Flowrate)/(Fluid Density*Number of Tubes*pi*(Pipe Inner Diameter)^2)
V_f = (4*M_flow)/(ρ_fluid*N_Tubes*pi*(D_inner)^2)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.
Mass Flowrate - (Measured in Kilogram per Second) - Mass Flowrate is the mass of a substance that passes per unit of time.
Fluid Density - (Measured in Kilogram per Cubic Meter) - Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.
Number of Tubes - Number of tubes in a heat exchanger refers to the count of individual tubes that form the heat transfer surface inside the heat exchanger.
Pipe Inner Diameter - (Measured in Meter) - Pipe inner diameter is the inner diameter where in the flow of fluid takes place. Pipe thickness is not taken into account.

STEP 1: Convert Input(s) to Base Unit

Mass Flowrate: 14 Kilogram per Second --> 14 Kilogram per Second No Conversion Required
Fluid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required
Number of Tubes: 55 --> No Conversion Required
Pipe Inner Diameter: 11.5 Millimeter --> 0.0115 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = (4*M_flow)/(ρ_fluid*N_Tubes*pi*(D_inner)^2) --> (4*14)/(995*55*pi*(0.0115)^2)

Evaluating ... ...

V_f = 2.46295628357181

STEP 3: Convert Result to Output's Unit

2.46295628357181 Meter per Second --> No Conversion Required

FINAL ANSWER

2.46295628357181 ≈ 2.462956 Meter per Second <-- Fluid Velocity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Heat Exchangers » Basic Formulas Of Heat Exchanger Designs » Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes

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< 25 Basic Formulas Of Heat Exchanger Designs Calculators

Pressure Drop of Vapor in Condensers given Vapors on Shell Side

Go Shell Side Pressure Drop = 0.5*8*Friction Factor*(Length of Tube/Baffle Spacing)*(Shell Diameter/Equivalent Diameter)*(Fluid Density/2)*(Fluid Velocity^2)*((Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14)

Shell Side Pressure Drop in Heat Exchanger

Go Shell Side Pressure Drop = (8*Friction Factor*(Length of Tube/Baffle Spacing)*(Shell Diameter/Equivalent Diameter))*(Fluid Density/2)*(Fluid Velocity^2)*((Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14)

Tube Side Pressure Drop in Heat Exchanger for Turbulent Flow

Go Tube Side Pressure Drop = Number of Tube-Side Passes*(8*Friction Factor*(Length of Tube/Pipe Inner Diameter)*(Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^-0.14+2.5)*(Fluid Density/2)*(Fluid Velocity^2)

Tube Side Pressure Drop in Heat Exchanger for Laminar Flow

Reynolds Number for Condensate Film Outside Vertical Tubes in Heat Exchanger

Go Reynold Number = 4*Mass Flowrate/(pi*Pipe Outer Diameter*Number of Tubes*Fluid Viscosity at Bulk Temperature)

Reynolds Number for Condensate Film Inside Vertical Tubes in Condenser

Go Reynold Number = 4*Mass Flowrate/(pi*Pipe Inner Diameter*Number of Tubes*Fluid Viscosity at Bulk Temperature)

Number of Tubes in Shell and Tube Heat Exchanger

Go Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2)

Shell Area for Heat Exchanger

Go Shell Area = (Tube Pitch-Pipe Outer Diameter)*Shell Diameter*(Baffle Spacing/Tube Pitch)

Stack Design Pressure Draft for Furnace

Go Draft Pressure = 0.0342*(Stack Height)*Atmospheric Pressure*(1/Ambient Temperature-1/Flue Gas Temperature)

Number of Transfer Units for Plate Heat Exchanger

Go Number of Transfer Units = (Outlet Temperature-Inlet Temperature)/Log Mean Temperature Difference

Equivalent Diameter for Triangular Pitch in Heat Exchanger

Go Equivalent Diameter = (1.10/Pipe Outer Diameter)*((Tube Pitch^2)-0.917*(Pipe Outer Diameter^2))

Equivalent Diameter for Square Pitch in Heat Exchanger

Go Equivalent Diameter = (1.27/Pipe Outer Diameter)*((Tube Pitch^2)-0.785*(Pipe Outer Diameter^2))

Viscosity Correction Factor for Shell and Tube Heat Exchanger

Go Viscosity Correction Factor = (Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^0.14

Pumping Power Required in Heat Exchanger Given Pressure Drop

Go Pumping Power = (Mass Flowrate*Tube Side Pressure Drop)/Fluid Density

Heat Exchanger Volume for Hydrocarbon Applications

Go Heat Exchanger Volume = (Heat Duty of Heat Exchanger/Log Mean Temperature Difference)/100000

Heat Exchanger Volume for Air Separation Applications

Go Heat Exchanger Volume = (Heat Duty of Heat Exchanger/Log Mean Temperature Difference)/50000

Provision for Thermal Expansion and Contraction in Heat Exchanger

Go Thermal Expansion = (97.1*10^-6)*Length of Tube*Temperature Difference

Number of Tubes in Eight Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.0365*(Bundle Diameter/Pipe Outer Diameter)^2.675

Number of Tubes in Six Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.0743*(Bundle Diameter/Pipe Outer Diameter)^2.499

Number of Tubes in Four Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.175*(Bundle Diameter/Pipe Outer Diameter)^2.285

Number of Tubes in One Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.319*(Bundle Diameter/Pipe Outer Diameter)^2.142

Number of Tubes in Two Pass Triangular Pitch given Bundle Diameter

Go Number of Tubes = 0.249*(Bundle Diameter/Pipe Outer Diameter)^2.207

Number of Tubes in Center Row Given Bundle Diameter and Tube Pitch

Go Number of Tubes in Vertical Tube Row = Bundle Diameter/Tube Pitch

Number of Baffles in Shell and Tube Heat Exchanger

Go Number of Baffles = (Length of Tube/Baffle Spacing)-1

Shell Diameter of Heat Exchanger Given Clearance and Bundle Diameter

Go Shell Diameter = Shell Clearance+Bundle Diameter

Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes Formula

Fluid Velocity = (4*Mass Flowrate)/(Fluid Density*Number of Tubes*pi*(Pipe Inner Diameter)^2)
V_f = (4*M_flow)/(ρ_fluid*N_Tubes*pi*(D_inner)^2)

What is Significance of Number of Tubes in Heat Exchanger?

The number of tubes in a heat exchanger is a critical design parameter that significantly impacts the performance and characteristics of the heat exchanger. The number of tubes directly influences the total heat transfer area of the heat exchanger. More tubes mean a larger surface area for heat exchange between the hot and cold fluids. This leads to improved heat transfer efficiency and better overall performance.

What is Shell and Tube heat exchanger?

A Shell and Tube Heat Exchanger is a common type of heat exchanger used in various industrial applications to transfer heat between two fluids. It consists of a large, cylindrical outer shell (usually made of metal) with multiple smaller tubes (also made of metal) running through it. The tubes are arranged in a bundle inside the shell and are typically oriented parallel to the shell's longitudinal axis.

How to Calculate Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes?

Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes calculator uses Fluid Velocity = (4*Mass Flowrate)/(Fluid Density*Number of Tubes*pi*(Pipe Inner Diameter)^2) to calculate the Fluid Velocity, The Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes formula is defined as speed with which the fluid allocated on the tube side flows in a shell and tube heat exchanger. Fluid Velocity is denoted by V_f symbol.

How to calculate Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes using this online calculator? To use this online calculator for Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes, enter Mass Flowrate (M_flow), Fluid Density (ρ_fluid), Number of Tubes (N_Tubes) & Pipe Inner Diameter (D_inner) and hit the calculate button. Here is how the Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes calculation can be explained with given input values -> 2.462956 = (4*14)/(995*55*pi*(0.0115)^2).

FAQ

What is Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes?

The Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes formula is defined as speed with which the fluid allocated on the tube side flows in a shell and tube heat exchanger and is represented as V_f = (4*M_flow)/(ρ_fluid*N_Tubes*pi*(D_inner)^2) or Fluid Velocity = (4*Mass Flowrate)/(Fluid Density*Number of Tubes*pi*(Pipe Inner Diameter)^2). Mass Flowrate is the mass of a substance that passes per unit of time, Fluid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies, Number of tubes in a heat exchanger refers to the count of individual tubes that form the heat transfer surface inside the heat exchanger & Pipe inner diameter is the inner diameter where in the flow of fluid takes place. Pipe thickness is not taken into account.

How to calculate Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes?

The Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes formula is defined as speed with which the fluid allocated on the tube side flows in a shell and tube heat exchanger is calculated using Fluid Velocity = (4*Mass Flowrate)/(Fluid Density*Number of Tubes*pi*(Pipe Inner Diameter)^2). To calculate Tube Side Velocity of Fluid Given Mass Flowrate and Number of Tubes, you need Mass Flowrate (M_flow), Fluid Density (ρ_fluid), Number of Tubes (N_Tubes) & Pipe Inner Diameter (D_inner). With our tool, you need to enter the respective value for Mass Flowrate, Fluid Density, Number of Tubes & Pipe Inner Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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