Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU Calculator

✖Outlet Temperature of Fluid is temperature that it attained after passing through a heat exchanger.ⓘ Outlet Temperature [T_Outlet]			+10% -10%
✖Inlet Temperature is the temperature of fluid before entering into a heat exchanger.ⓘ Inlet Temperature [T_Inlet]			+10% -10%
✖Number of Transfer Units is a dimensionless parameter used to characterize the heat transfer performance of Heat Exchanger.ⓘ Number of Transfer Units [NTU]			+10% -10%

✖Log Mean Temperature Difference is the logarithmic temperature difference averaged between 2 fluid streams exchanging heat.ⓘ Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU [ΔT_LMTD]

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Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU

Formula

`"ΔT"_{"LMTD"} = ("T"_{"Outlet"}-"T"_{"Inlet"})/"NTU"`

Example

`"39.16667K"=("345K"-"298K")/"1.2"`

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Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU Solution

STEP 0: Pre-Calculation Summary

Formula Used

Log Mean Temperature Difference = (Outlet Temperature-Inlet Temperature)/Number of Transfer Units
ΔT_LMTD = (T_Outlet-T_Inlet)/NTU
This formula uses 4 Variables

Variables Used

Log Mean Temperature Difference - (Measured in Kelvin) - Log Mean Temperature Difference is the logarithmic temperature difference averaged between 2 fluid streams exchanging heat.
Outlet Temperature - (Measured in Kelvin) - Outlet Temperature of Fluid is temperature that it attained after passing through a heat exchanger.
Inlet Temperature - (Measured in Kelvin) - Inlet Temperature is the temperature of fluid before entering into a heat exchanger.
Number of Transfer Units - Number of Transfer Units is a dimensionless parameter used to characterize the heat transfer performance of Heat Exchanger.

STEP 1: Convert Input(s) to Base Unit

Outlet Temperature: 345 Kelvin --> 345 Kelvin No Conversion Required
Inlet Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required
Number of Transfer Units: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_LMTD = (T_Outlet-T_Inlet)/NTU --> (345-298)/1.2

Evaluating ... ...

ΔT_LMTD = 39.1666666666667

STEP 3: Convert Result to Output's Unit

39.1666666666667 Kelvin --> No Conversion Required

FINAL ANSWER

39.1666666666667 ≈ 39.16667 Kelvin <-- Log Mean Temperature Difference

(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 » Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU

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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

Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU Formula

Log Mean Temperature Difference = (Outlet Temperature-Inlet Temperature)/Number of Transfer Units
ΔT_LMTD = (T_Outlet-T_Inlet)/NTU

What is Plate Heat Exchanger?

A Plate Heat Exchanger (PHE) is a type of heat exchanger used to transfer heat between two fluids, without the fluids coming into direct contact with each other. It consists of a series of closely spaced metal plates with channels or gaps between them. The fluids flow through these gaps, and heat is exchanged between them through the plates.

What is Significance of NTU in Heat Exchanger?

The NTU (Number of Transfer Units) is a crucial parameter used to analyze and design heat exchangers, including plate heat exchangers. It quantifies the effectiveness of the heat exchanger and provides valuable information about the heat transfer performance. It simplifies the analysis and design process, making it easier to understand and optimize heat exchanger performance.

How to Calculate Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU?

Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU calculator uses Log Mean Temperature Difference = (Outlet Temperature-Inlet Temperature)/Number of Transfer Units to calculate the Log Mean Temperature Difference, The Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU formula is defined as the temperature driving force for heat transfer between two fluid streams in a heat exchanger. Log Mean Temperature Difference is denoted by ΔT_LMTD symbol.

How to calculate Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU using this online calculator? To use this online calculator for Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU, enter Outlet Temperature (T_Outlet), Inlet Temperature (T_Inlet) & Number of Transfer Units (NTU) and hit the calculate button. Here is how the Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU calculation can be explained with given input values -> 39.16667 = (345-298)/1.2.

FAQ

What is Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU?

The Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU formula is defined as the temperature driving force for heat transfer between two fluid streams in a heat exchanger and is represented as ΔT_LMTD = (T_Outlet-T_Inlet)/NTU or Log Mean Temperature Difference = (Outlet Temperature-Inlet Temperature)/Number of Transfer Units. Outlet Temperature of Fluid is temperature that it attained after passing through a heat exchanger, Inlet Temperature is the temperature of fluid before entering into a heat exchanger & Number of Transfer Units is a dimensionless parameter used to characterize the heat transfer performance of Heat Exchanger.

How to calculate Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU?

The Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU formula is defined as the temperature driving force for heat transfer between two fluid streams in a heat exchanger is calculated using Log Mean Temperature Difference = (Outlet Temperature-Inlet Temperature)/Number of Transfer Units. To calculate Log Mean Temperature Difference in Plate Heat Exchanger Given Fluid Temperature and NTU, you need Outlet Temperature (T_Outlet), Inlet Temperature (T_Inlet) & Number of Transfer Units (NTU). With our tool, you need to enter the respective value for Outlet Temperature, Inlet Temperature & Number of Transfer Units 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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