Log Mean Temperature Difference for CoCurrent Flow Calculator

✖Outlet Temperature of Hot Fluid is the temperature at which the hot fluid exits the heat exchanger.ⓘ Outlet Temperature of Hot Fluid [T_ho]			+10% -10%
✖Outlet Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger.ⓘ Outlet Temperature of Cold Fluid [T_co]			+10% -10%
✖Inlet Temperature of Hot Fluid is the temperature at which the hot fluid enters the heat exchanger.ⓘ Inlet Temperature of Hot Fluid [T_hi]			+10% -10%
✖Inlet Temperature of Cold Fluid is the temperature at which the cold fluid enters the heat exchanger.ⓘ Inlet Temperature of Cold Fluid [T_ci]			+10% -10%

✖The Log Mean Temperature Difference (LMTD) is a logarithmic average of the temperature difference between the hot and cold streams at each end of the exchanger.ⓘ Log Mean Temperature Difference for CoCurrent Flow [LMTD]

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Formula

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Log Mean Temperature Difference for CoCurrent Flow

Formula

`"LMTD" = (("T"_{"ho"}-"T"_{"co"})-("T"_{"hi"}-"T"_{"ci"}))/ln(("T"_{"ho"}-"T"_{"co"})/("T"_{"hi"}-"T"_{"ci"}))`

Example

`"18.20478K"=(("20K"-"10K")-("35K"-"5K"))/ln(("20K"-"10K")/("35K"-"5K"))`

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Log Mean Temperature Difference for CoCurrent Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))
LMTD = ((T_ho-T_co)-(T_hi-T_ci))/ln((T_ho-T_co)/(T_hi-T_ci))
This formula uses 1 Functions, 5 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Log Mean Temperature Difference - (Measured in Kelvin) - The Log Mean Temperature Difference (LMTD) is a logarithmic average of the temperature difference between the hot and cold streams at each end of the exchanger.
Outlet Temperature of Hot Fluid - (Measured in Kelvin) - Outlet Temperature of Hot Fluid is the temperature at which the hot fluid exits the heat exchanger.
Outlet Temperature of Cold Fluid - (Measured in Kelvin) - Outlet Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger.
Inlet Temperature of Hot Fluid - (Measured in Kelvin) - Inlet Temperature of Hot Fluid is the temperature at which the hot fluid enters the heat exchanger.
Inlet Temperature of Cold Fluid - (Measured in Kelvin) - Inlet Temperature of Cold Fluid is the temperature at which the cold fluid enters the heat exchanger.

STEP 1: Convert Input(s) to Base Unit

Outlet Temperature of Hot Fluid: 20 Kelvin --> 20 Kelvin No Conversion Required
Outlet Temperature of Cold Fluid: 10 Kelvin --> 10 Kelvin No Conversion Required
Inlet Temperature of Hot Fluid: 35 Kelvin --> 35 Kelvin No Conversion Required
Inlet Temperature of Cold Fluid: 5 Kelvin --> 5 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LMTD = ((T_ho-T_co)-(T_hi-T_ci))/ln((T_ho-T_co)/(T_hi-T_ci)) --> ((20-10)-(35-5))/ln((20-10)/(35-5))

Evaluating ... ...

LMTD = 18.2047845325367

STEP 3: Convert Result to Output's Unit

18.2047845325367 Kelvin --> No Conversion Required

FINAL ANSWER

18.2047845325367 ≈ 18.20478 Kelvin <-- Log Mean Temperature Difference

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 17 Basics of Heat Transfer Calculators

Log Mean Temperature Difference for Counter Current Flow

Go Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid))

Log Mean Temperature Difference for CoCurrent Flow

Go Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))

Logarithmic Mean Area of Cylinder

Go Logarithmic Mean Area = (Outer Area of Cylinder-Inner Area of Cylinder)/ln(Outer Area of Cylinder/Inner Area of Cylinder)

Equivalent Diameter when Flow in Rectangular Duct

Go Equivalent Diameter = (4*Length of Rectangular Section*Breadth of Rectangle)/(2*(Length of Rectangular Section+Breadth of Rectangle))

Internal Diameter of Pipe given Heat Transfer Coefficient for Gas in Turbulent Motion

Go Internal Diameter of Pipe = ((16.6*Specific Heat Capacity*(Mass Velocity)^0.8)/(Heat Transfer Coefficient for Gas))^(1/0.2)

Heat Transfer from Stream of Gas flowing in Turbulent Motion

Go Heat Transfer Coefficient = (16.6*Specific Heat Capacity*(Mass Velocity)^0.8)/(Internal Diameter of Pipe^0.2)

Colburn Factor using Chilton Colburn Analogy

Go Colburn's j-factor = Nusselt Number/((Reynolds Number)*(Prandtl Number)^(1/3))

Heat Transfer Coefficient based on Temperature Difference

Go Heat Transfer Coefficient = Heat Transfer/Overall Temperature Difference

Equivalent Diameter of Non-Circular Duct

Go Equivalent Diameter = (4*Cross Sectional Area of Flow)/Wetted Perimeter

Heat Transfer Coefficient given Local Heat Transfer Resistance of Air Film

Go Heat Transfer Coefficient = 1/((Area)*Local Heat Transfer Resistance)

Local Heat Transfer Resistance of Air-Film

Go Local Heat Transfer Resistance = 1/(Heat Transfer Coefficient*Area)

Wetted Perimeter given Hydraulic Radius

Go Wetted Perimeter = Cross Sectional Area of Flow/Hydraulic Radius

Hydraulic Radius

Go Hydraulic Radius = Cross Sectional Area of Flow/Wetted Perimeter

Reynolds Number given Colburn Factor

Go Reynolds Number = (Colburn's j-factor/0.023)^((-1)/0.2)

J-Factor for Pipe Flow

Go Colburn's j-factor = 0.023*(Reynolds Number)^(-0.2)

Colburn J-Factor given Fanning Friction Factor

Go Colburn's j-factor = Fanning Friction Factor/2

Fanning Friction Factor given Colburn J-Factor

Go Fanning Friction Factor = 2*Colburn's j-factor

Log Mean Temperature Difference for CoCurrent Flow Formula

Log mean temperature difference for co-current flow heat exchangers

The log mean temperature difference (LMTD) is used to determine the temperature driving force for heat transfer in flow systems, most notably in heat exchangers. The LMTD is a logarithmic average of the temperature difference between the hot and cold streams at each end of the exchanger.

How to Calculate Log Mean Temperature Difference for CoCurrent Flow?

Log Mean Temperature Difference for CoCurrent Flow calculator uses Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)) to calculate the Log Mean Temperature Difference, The Log Mean Temperature Difference for CoCurrent Flow in is used to determine the temperature driving force for heat transfer in flow systems, most notably in heat exchangers. The LMTD is a logarithmic average of the temperature difference between the hot and cold streams at each end of the exchanger. Log Mean Temperature Difference is denoted by LMTD symbol.

How to calculate Log Mean Temperature Difference for CoCurrent Flow using this online calculator? To use this online calculator for Log Mean Temperature Difference for CoCurrent Flow, enter Outlet Temperature of Hot Fluid (T_ho), Outlet Temperature of Cold Fluid (T_co), Inlet Temperature of Hot Fluid (T_hi) & Inlet Temperature of Cold Fluid (T_ci) and hit the calculate button. Here is how the Log Mean Temperature Difference for CoCurrent Flow calculation can be explained with given input values -> 18.20478 = ((20-10)-(35-5))/ln((20-10)/(35-5)).

FAQ

What is Log Mean Temperature Difference for CoCurrent Flow?

The Log Mean Temperature Difference for CoCurrent Flow in is used to determine the temperature driving force for heat transfer in flow systems, most notably in heat exchangers. The LMTD is a logarithmic average of the temperature difference between the hot and cold streams at each end of the exchanger and is represented as LMTD = ((T_ho-T_co)-(T_hi-T_ci))/ln((T_ho-T_co)/(T_hi-T_ci)) or Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)). Outlet Temperature of Hot Fluid is the temperature at which the hot fluid exits the heat exchanger, Outlet Temperature of Cold Fluid is the temperature at which the cold fluid exits the heat exchanger, Inlet Temperature of Hot Fluid is the temperature at which the hot fluid enters the heat exchanger & Inlet Temperature of Cold Fluid is the temperature at which the cold fluid enters the heat exchanger.

How to calculate Log Mean Temperature Difference for CoCurrent Flow?

The Log Mean Temperature Difference for CoCurrent Flow in is used to determine the temperature driving force for heat transfer in flow systems, most notably in heat exchangers. The LMTD is a logarithmic average of the temperature difference between the hot and cold streams at each end of the exchanger is calculated using Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)). To calculate Log Mean Temperature Difference for CoCurrent Flow, you need Outlet Temperature of Hot Fluid (T_ho), Outlet Temperature of Cold Fluid (T_co), Inlet Temperature of Hot Fluid (T_hi) & Inlet Temperature of Cold Fluid (T_ci). With our tool, you need to enter the respective value for Outlet Temperature of Hot Fluid, Outlet Temperature of Cold Fluid, Inlet Temperature of Hot Fluid & Inlet Temperature of Cold Fluid 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 Log Mean Temperature Difference?

In this formula, Log Mean Temperature Difference uses Outlet Temperature of Hot Fluid, Outlet Temperature of Cold Fluid, Inlet Temperature of Hot Fluid & Inlet Temperature of Cold Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Log Mean Temperature Difference = ((Outlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)-(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid))/ln((Outlet Temperature of Hot Fluid-Inlet Temperature of Cold Fluid)/(Inlet Temperature of Hot Fluid-Outlet Temperature of Cold Fluid))

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