Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes Calculator

✖Thermal expansion refers to the tendency of material to change its size, shape, or volume in response to a change in temperature.ⓘ Thermal Expansion [ΔL]			+10% -10%
✖Temperature Difference is the change in temperature of fluid passing through a heat exchanger.ⓘ Temperature Difference [ΔT_C]			+10% -10%

✖Length of tube is the length which will be used during heat transfer in a exchanger.ⓘ Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes [L_Tube]

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Formula

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Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes

Formula

`"L"_{"Tube"} = "ΔL"/((97.1*10^-6)*"ΔT"_{"C"})`

Example

`"4500.013mm"="17.915mm"/((97.1*10^-6)*"41K")`

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Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Tube = Thermal Expansion/((97.1*10^-6)*Temperature Difference)
L_Tube = ΔL/((97.1*10^-6)*ΔT_C)
This formula uses 3 Variables

Variables Used

Length of Tube - (Measured in Meter) - Length of tube is the length which will be used during heat transfer in a exchanger.
Thermal Expansion - (Measured in Meter) - Thermal expansion refers to the tendency of material to change its size, shape, or volume in response to a change in temperature.
Temperature Difference - (Measured in Kelvin) - Temperature Difference is the change in temperature of fluid passing through a heat exchanger.

STEP 1: Convert Input(s) to Base Unit

Thermal Expansion: 17.915 Millimeter --> 0.017915 Meter (Check conversion here)
Temperature Difference: 41 Kelvin --> 41 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_Tube = ΔL/((97.1*10^-6)*ΔT_C) --> 0.017915/((97.1*10^-6)*41)

Evaluating ... ...

L_Tube = 4.5000125593429

STEP 3: Convert Result to Output's Unit

4.5000125593429 Meter -->4500.0125593429 Millimeter (Check conversion here)

FINAL ANSWER

4500.0125593429 ≈ 4500.013 Millimeter <-- Length of Tube

(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 » Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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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

Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes Formula

Length of Tube = Thermal Expansion/((97.1*10^-6)*Temperature Difference)
L_Tube = ΔL/((97.1*10^-6)*ΔT_C)

What is Thermal Expansion and Contraction in Heat Exchanger?

Thermal expansion and contraction in a heat exchanger refer to the changes in the size, shape, or volume of the heat exchanger components as a result of temperature variations during its operation. A heat exchanger is designed to transfer thermal energy from one fluid (usually hot) to another fluid (usually cold). When hot fluid flows through the heat exchanger, it heats up the heat exchanger's components, causing them to expand. Conversely, when the heat exchanger cools down after the hot fluid has passed through, its components contract.

How to Calculate Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes?

Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes calculator uses Length of Tube = Thermal Expansion/((97.1*10^-6)*Temperature Difference) to calculate the Length of Tube, The Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes in Heat Exchanger formula is defined as the maximum length of tubes that can be used in a shell and tube heat exchanger in order to achieve the desired temperature difference. Length of Tube is denoted by L_Tube symbol.

How to calculate Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes using this online calculator? To use this online calculator for Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes, enter Thermal Expansion (ΔL) & Temperature Difference (ΔT_C) and hit the calculate button. Here is how the Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes calculation can be explained with given input values -> 4.5E+6 = 0.017915/((97.1*10^-6)*41).

FAQ

What is Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes?

The Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes in Heat Exchanger formula is defined as the maximum length of tubes that can be used in a shell and tube heat exchanger in order to achieve the desired temperature difference and is represented as L_Tube = ΔL/((97.1*10^-6)*ΔT_C) or Length of Tube = Thermal Expansion/((97.1*10^-6)*Temperature Difference). Thermal expansion refers to the tendency of material to change its size, shape, or volume in response to a change in temperature & Temperature Difference is the change in temperature of fluid passing through a heat exchanger.

How to calculate Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes?

The Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes in Heat Exchanger formula is defined as the maximum length of tubes that can be used in a shell and tube heat exchanger in order to achieve the desired temperature difference is calculated using Length of Tube = Thermal Expansion/((97.1*10^-6)*Temperature Difference). To calculate Allowable Length of Tube given Temperature Difference and Thermal Expansion of Tubes, you need Thermal Expansion (ΔL) & Temperature Difference (ΔT_C). With our tool, you need to enter the respective value for Thermal Expansion & Temperature Difference 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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