Capacity Ratio Calculator

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Heat exchanger

Basics of HMT

Conduction

Convection

Convective Mass Transfer

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Transverse Fin Heat Exchanger

✖Minimum heat capacity is the heat capacity of the fluid in the heat exchanger having a lower value as compared to another fluid.ⓘ Minimum heat capacity [C_min]			+10% -10%
✖Maximum heat capacity is the heat capacity of the fluid in the heat exchanger having a higher value as compared to another fluid.ⓘ Maximum heat capacity [C_max]			+10% -10%

✖Heat capacity ratio is the ratio of cmin and cmax.ⓘ Capacity Ratio [C]

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Formula

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Capacity Ratio

Formula

`"C" = "C"_{"min"}/"C"_{"max"}`

Example

`"0.5"="4J/K"/"8J/K"`

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Capacity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat capacity ratio = Minimum heat capacity/Maximum heat capacity
C = C_min/C_max
This formula uses 3 Variables

Variables Used

Heat capacity ratio - Heat capacity ratio is the ratio of cmin and cmax.
Minimum heat capacity - (Measured in Joule per Kelvin) - Minimum heat capacity is the heat capacity of the fluid in the heat exchanger having a lower value as compared to another fluid.
Maximum heat capacity - (Measured in Joule per Kelvin) - Maximum heat capacity is the heat capacity of the fluid in the heat exchanger having a higher value as compared to another fluid.

STEP 1: Convert Input(s) to Base Unit

Minimum heat capacity: 4 Joule per Kelvin --> 4 Joule per Kelvin No Conversion Required
Maximum heat capacity: 8 Joule per Kelvin --> 8 Joule per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = C_min/C_max --> 4/8

Evaluating ... ...

C = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Heat capacity ratio

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Heat exchanger » Capacity Ratio

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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National Institute Of Technology (NIT), Hamirpur

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< 25 Heat exchanger Calculators

Logarithmic mean temperature difference for single pass counter flow

Go Logarithmic Mean Temperature Difference = ((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)-(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))/ln((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Cold Fluid-Exit Temperature of Hot Fluid))

Mass flow rate of cold fluid

Go Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of cold fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))

Specific heat of cold fluid

Go Specific heat of cold fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate of Cold Fluid)*(1/((Exit Temperature of Cold Fluid-Entry Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))

Mass flow rate of hot fluid

Go Mass Flow Rate of Hot Fluid = (Effectiveness of Heat Exchanger*Smaller Value/Specific heat of hot fluid)*(1/((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))

Specific heat of hot water

Go Specific heat of hot fluid = (Effectiveness of Heat Exchanger*Smaller Value/Mass Flow Rate of Hot Fluid)*(1/((Entry Temperature of Hot Fluid-Exit Temperature of Cold Fluid)/(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)))

Heat transfer surface area for unit length of matrix in storage type heat exchanger

Go Surface Area = (Location factor*Specific heat of fluid*Mass Flowrate)/(Convective Heat Transfer Coefficient*Distance from Point to YY Axis)

Convective heat transfer coefficient of storage type heat exchanger

Go Convective Heat Transfer Coefficient = (Location factor*Specific heat of fluid*Mass Flowrate)/(Surface Area*Distance from Point to YY Axis)

Specific heat of fluid in storage type heat exchanger

Go Specific heat of fluid = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Location factor*Mass Flowrate)

Mass Flowrate of Fluid in Storage type Heat Exchanger

Go Mass Flowrate = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Specific heat of fluid*Location factor)

Location factor at distance X of heat exchanger

Go Location factor = (Convective Heat Transfer Coefficient*Surface Area*Distance from Point to YY Axis)/(Specific heat of fluid*Mass Flowrate)

Convective heat transfer coefficient of storage type heat exchanger given time factor

Go Convective Heat Transfer Coefficient = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Surface Area*Total Time Taken)

Heat transfer surface area for unit length given time factor

Go Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken)

Time factor of storage type heat exchanger

Go Time Factor = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Specific heat of matrix material*Mass of Solid)

Time taken for storage type heat exchanger

Go Total Time Taken = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Surface Area*Convective Heat Transfer Coefficient)

Mass of solid per unit length of matrix

Go Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material)

Specific heat of matrix material

Go Specific heat of matrix material = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Mass of Solid)

Entry temperature of cold fluid

Go Entry Temperature of Cold Fluid = Entry Temperature of Hot Fluid-(Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))

Entry temperature of hot fluid

Go Entry Temperature of Hot Fluid = (Heat exchanged/(Effectiveness of Heat Exchanger*Smaller Value))+Entry Temperature of Cold Fluid

Heat exchanged NTU method

Go Heat exchanged = Effectiveness of Heat Exchanger*Smaller Value*(Entry Temperature of Hot Fluid-Entry Temperature of Cold Fluid)

Overall heat transfer coefficient given LMTD

Go Overall Heat Transfer Coefficient = Heat exchanged/(Correction Factor*Area*Logarithmic Mean Temperature Difference)

Logarithmic mean temperature difference

Go Logarithmic Mean Temperature Difference = Heat exchanged/(Correction Factor*Overall Heat Transfer Coefficient*Area)

Correction factor in heat exchanger

Go Correction Factor = Heat exchanged/(Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference)

Area of heat exchanger

Go Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)

Heat exchanged

Go Heat exchanged = Correction Factor*Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference

Capacity Ratio

Go Heat capacity ratio = Minimum heat capacity/Maximum heat capacity

Capacity Ratio Formula

Heat capacity ratio = Minimum heat capacity/Maximum heat capacity
C = C_min/C_max

What is Capacity Ratio?

Capacity Ratio is defined as the ratio of minimum to the maximum capacity rate of fluids being used in a heat exchanger. The fluid with a lower heat capacity rate will undergo a greater change in temperature as compared to fluid with a higher heat capacity rate.

How to Calculate Capacity Ratio?

Capacity Ratio calculator uses Heat capacity ratio = Minimum heat capacity/Maximum heat capacity to calculate the Heat capacity ratio, Capacity Ratio formula calculates the capacity ratio of a heat exchanger by the ratio of minimum to maximum heat capacities of the fluids. Heat capacity ratio is denoted by C symbol.

How to calculate Capacity Ratio using this online calculator? To use this online calculator for Capacity Ratio, enter Minimum heat capacity (C_min) & Maximum heat capacity (C_max) and hit the calculate button. Here is how the Capacity Ratio calculation can be explained with given input values -> 0.5 = 4/8.

FAQ

What is Capacity Ratio?

Capacity Ratio formula calculates the capacity ratio of a heat exchanger by the ratio of minimum to maximum heat capacities of the fluids and is represented as C = C_min/C_max or Heat capacity ratio = Minimum heat capacity/Maximum heat capacity. Minimum heat capacity is the heat capacity of the fluid in the heat exchanger having a lower value as compared to another fluid & Maximum heat capacity is the heat capacity of the fluid in the heat exchanger having a higher value as compared to another fluid.

How to calculate Capacity Ratio?

Capacity Ratio formula calculates the capacity ratio of a heat exchanger by the ratio of minimum to maximum heat capacities of the fluids is calculated using Heat capacity ratio = Minimum heat capacity/Maximum heat capacity. To calculate Capacity Ratio, you need Minimum heat capacity (C_min) & Maximum heat capacity (C_max). With our tool, you need to enter the respective value for Minimum heat capacity & Maximum heat capacity 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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