Number of Tubes in Shell and Tube Heat Exchanger 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%
✖Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.ⓘ Fluid Velocity [V_f]			+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%

✖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 in Shell and Tube Heat Exchanger [N_Tubes]

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Number of Tubes in Shell and Tube Heat Exchanger Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe.
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
Fluid Velocity: 2.5 Meter per Second --> 2.5 Meter per Second No Conversion Required
Pipe Inner Diameter: 11.5 Millimeter --> 0.0115 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_Tubes = 4*M_flow/(ρ_fluid*V_f*pi*(D_inner)^2) --> 4*14/(995*2.5*pi*(0.0115)^2)

Evaluating ... ...

N_Tubes = 54.1850382385798

STEP 3: Convert Result to Output's Unit

54.1850382385798 --> No Conversion Required

FINAL ANSWER

54.1850382385798 ≈ 54.18504 <-- Number of Tubes

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Heat Exchangers » Basic Formulas of Heat Exchanger Designs » Number of Tubes in Shell and Tube Heat Exchanger

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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< Basic Formulas of Heat Exchanger Designs Calculators

Equivalent Diameter for Triangular Pitch in Heat Exchanger

LaTeX 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

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

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

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

Number of Baffles in Shell and Tube Heat Exchanger

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

Number of Tubes in Shell and Tube Heat Exchanger Formula

LaTeX Go

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

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.

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.

How to Calculate Number of Tubes in Shell and Tube Heat Exchanger?

Number of Tubes in Shell and Tube Heat Exchanger calculator uses Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2) to calculate the Number of Tubes, The Number of tubes in Shell and Tube Heat Exchanger formula is defined as the total number of tubes that will be allocated inside a Shell and Tube Heat Exchanger. Number of Tubes is denoted by N_Tubes symbol.

How to calculate Number of Tubes in Shell and Tube Heat Exchanger using this online calculator? To use this online calculator for Number of Tubes in Shell and Tube Heat Exchanger, enter Mass Flowrate (M_flow), Fluid Density (ρ_fluid), Fluid Velocity (V_f) & Pipe Inner Diameter (D_inner) and hit the calculate button. Here is how the Number of Tubes in Shell and Tube Heat Exchanger calculation can be explained with given input values -> 54.18504 = 4*14/(995*2.5*pi*(0.0115)^2).

FAQ

What is Number of Tubes in Shell and Tube Heat Exchanger?

The Number of tubes in Shell and Tube Heat Exchanger formula is defined as the total number of tubes that will be allocated inside a Shell and Tube Heat Exchanger and is represented as N_Tubes = 4*M_flow/(ρ_fluid*V_f*pi*(D_inner)^2) or Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*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, Fluid Velocity is defined as the speed with which fluid flows inside a tube or pipe & 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 Number of Tubes in Shell and Tube Heat Exchanger?

The Number of tubes in Shell and Tube Heat Exchanger formula is defined as the total number of tubes that will be allocated inside a Shell and Tube Heat Exchanger is calculated using Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2). To calculate Number of Tubes in Shell and Tube Heat Exchanger, you need Mass Flowrate (M_flow), Fluid Density (ρ_fluid), Fluid Velocity (V_f) & Pipe Inner Diameter (D_inner). With our tool, you need to enter the respective value for Mass Flowrate, Fluid Density, Fluid Velocity & Pipe Inner Diameter 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 Number of Tubes?

In this formula, Number of Tubes uses Mass Flowrate, Fluid Density, Fluid Velocity & Pipe Inner Diameter. We can use 3 other way(s) to calculate the same, which is/are as follows -

Number of Tubes = 0.319*(Bundle Diameter/Pipe Outer Diameter)^2.142
Number of Tubes = 0.249*(Bundle Diameter/Pipe Outer Diameter)^2.207
Number of Tubes = 0.175*(Bundle Diameter/Pipe Outer Diameter)^2.285

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