## 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)
NTubes = 4*Mflow/(ρfluid*Vf*pi*(Dinner)^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 it flows over a surface.
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
NTubes = 4*Mflow/(ρfluid*Vf*pi*(Dinner)^2) --> 4*14/(995*2.5*pi*(0.0115)^2)
Evaluating ... ...
NTubes = 54.1850382385798
STEP 3: Convert Result to Output's Unit
54.1850382385798 --> No Conversion Required
54.1850382385798 54.18504 <-- Number of Tubes
(Calculation completed in 00.004 seconds)
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## < 17 Heat Exchangers Calculators

Pressure Drop of Vapor in Condensers given Vapors on Shell Side
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
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)
Shell Side Heat Transfer Coefficient
Shell Side Heat Transfer Coefficient = Heat Transfer Factor*Reynold Number*(Prandlt Number^0.333)*(Thermal Conductivity/Equivalent Diameter)*((Fluid Viscosity at BulThermal Conductivity Temperature/Fluid Viscosity at Wall Temperature)^0.14)
Tube Side Pressure Drop in Heat Exchanger for Turbulent Flow
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
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)^-0.25+2.5)*(Fluid Density/2)*(Fluid Velocity^2)
Reynolds Number for Condensate Film Outside Vertical Tubes in Heat Exchanger
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
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
Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2)
Shell Area for Heat Exchanger
Shell Area = (Tube Pitch-Pipe Outer Diameter)*Shell Diameter*(Baffle Spacing/Tube Pitch)
Stack Design Pressure Draft for Furnace
Draft Pressure = 0.0342*(Stack Height)*Atmospheric Pressure*(1/Ambient Temperature-1/Flue Gas Temperature)
Equivalent Diameter for Square Pitch in Heat Exchanger
Equivalent Diameter = (1.27/Pipe Outer Diameter)*((Tube Pitch^2)-0.785*(Pipe Outer Diameter^2))
Equivalent Diameter for Triangular Pitch in Heat Exchanger
Equivalent Diameter = (1.10/Pipe Outer Diameter)*((Tube Pitch^2)-0.917*(Pipe Outer Diameter^2))
Viscosity Correction Factor for Shell and Tube Heat Exchanger
Viscosity Correction Factor = (Fluid Viscosity at Bulk Temperature/Fluid Viscosity at Wall Temperature)^0.14
Number of Transfer Units for Plate Heat Exchanger
Number Of Transfer Units-NTU = (Outlet Temperature-Inlet Temperature)/LMTD
Number of Tubes in Center Row Given Bundle Diameter and Tube Pitch
Number of Tubes in Vertical Tube Row = Bundle Diameter/Tube Pitch
Number of Baffles in Shell and Tube Heat Exchanger
Number of Baffles = (Length of Tube/Baffle Spacing)-1
Shell Diameter of Heat Exchanger Given Clearance and Bundle Diameter
Shell Diameter = Shell Clearance+Bundle Diameter

## Number of Tubes in Shell and Tube Heat Exchanger Formula

Number of Tubes = 4*Mass Flowrate/(Fluid Density*Fluid Velocity*pi*(Pipe Inner Diameter)^2)
NTubes = 4*Mflow/(ρfluid*Vf*pi*(Dinner)^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 NTubes 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 (Mflow), Fluid Density fluid), Fluid Velocity (Vf) & Pipe Inner Diameter (Dinner) 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 -> 111.9683 = 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 NTubes = 4*Mflow/(ρfluid*Vf*pi*(Dinner)^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 it flows over a surface & 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 (Mflow), Fluid Density fluid), Fluid Velocity (Vf) & Pipe Inner Diameter (Dinner). 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.
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