Heat transfer surface area for unit length given time factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken)
SA = (n*cs*ML)/(h*ttotal)
This formula uses 6 Variables
Variables Used
Surface Area - (Measured in Square Meter) - The Surface Area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
Time Factor - Time Factor is the elements of limited time intervals, contributing to particular results or situations.
Specific heat of matrix material - (Measured in Joule per Kilogram per K) - Specific heat of matrix material is the amount of heat required to increase the temperature of the matrix material by one degree.
Mass of Solid - Mass of Solid is the weight of the solid per unit length of the matrix.
Convective Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Convective Heat Transfer Coefficient is the heat transfer due to convection.
Total Time Taken - (Measured in Second) - Total Time Taken is the total time taken by the body to cover that space.
STEP 1: Convert Input(s) to Base Unit
Time Factor: 8 --> No Conversion Required
Specific heat of matrix material: 15 Joule per Kilogram per K --> 15 Joule per Kilogram per K No Conversion Required
Mass of Solid: 16.5 --> No Conversion Required
Convective Heat Transfer Coefficient: 0.5 Watt per Square Meter per Kelvin --> 0.5 Watt per Square Meter per Kelvin No Conversion Required
Total Time Taken: 80 Second --> 80 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SA = (n*cs*ML)/(h*ttotal) --> (8*15*16.5)/(0.5*80)
Evaluating ... ...
SA = 49.5
STEP 3: Convert Result to Output's Unit
49.5 Square Meter --> No Conversion Required
FINAL ANSWER
49.5 Square Meter <-- Surface Area
(Calculation completed in 00.004 seconds)

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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

Heat transfer surface area for unit length given time factor Formula

Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken)
SA = (n*cs*ML)/(h*ttotal)

What is Heat exchanger?

A heat exchanger is a system used to transfer heat between two or more fluids. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contact. They are widely used in space heating, refrigeration, air conditioning, power stations, chemical plants, petrochemical plants, petroleum refineries, natural-gas processing, and sewage treatment. The classic example of a heat exchanger is found in an internal combustion engine in which a circulating fluid known as engine coolant flows through radiator coils and air flows past the coils, which cools the coolant and heats the incoming air. Another example is the heat sink, which is a passive heat exchanger that transfers the heat generated by an electronic or a mechanical device to a fluid medium, often air or a liquid coolant.

How to Calculate Heat transfer surface area for unit length given time factor?

Heat transfer surface area for unit length given time factor calculator uses Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken) to calculate the Surface Area, The Heat transfer surface area for unit length given time factor formula is defined as the area of the surface of the heat exchanger where heat transfer takes place. Surface Area is denoted by SA symbol.

How to calculate Heat transfer surface area for unit length given time factor using this online calculator? To use this online calculator for Heat transfer surface area for unit length given time factor, enter Time Factor (n), Specific heat of matrix material (cs), Mass of Solid (ML), Convective Heat Transfer Coefficient (h) & Total Time Taken (ttotal) and hit the calculate button. Here is how the Heat transfer surface area for unit length given time factor calculation can be explained with given input values -> 49.5 = (8*15*16.5)/(0.5*80).

FAQ

What is Heat transfer surface area for unit length given time factor?
The Heat transfer surface area for unit length given time factor formula is defined as the area of the surface of the heat exchanger where heat transfer takes place and is represented as SA = (n*cs*ML)/(h*ttotal) or Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken). Time Factor is the elements of limited time intervals, contributing to particular results or situations, Specific heat of matrix material is the amount of heat required to increase the temperature of the matrix material by one degree, Mass of Solid is the weight of the solid per unit length of the matrix, Convective Heat Transfer Coefficient is the heat transfer due to convection & Total Time Taken is the total time taken by the body to cover that space.
How to calculate Heat transfer surface area for unit length given time factor?
The Heat transfer surface area for unit length given time factor formula is defined as the area of the surface of the heat exchanger where heat transfer takes place is calculated using Surface Area = (Time Factor*Specific heat of matrix material*Mass of Solid)/(Convective Heat Transfer Coefficient*Total Time Taken). To calculate Heat transfer surface area for unit length given time factor, you need Time Factor (n), Specific heat of matrix material (cs), Mass of Solid (ML), Convective Heat Transfer Coefficient (h) & Total Time Taken (ttotal). With our tool, you need to enter the respective value for Time Factor, Specific heat of matrix material, Mass of Solid, Convective Heat Transfer Coefficient & Total Time Taken 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 Surface Area?
In this formula, Surface Area uses Time Factor, Specific heat of matrix material, Mass of Solid, Convective Heat Transfer Coefficient & Total Time Taken. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Surface Area = (Location factor*Specific heat of fluid*Mass Flowrate)/(Convective Heat Transfer Coefficient*Distance from Point to YY Axis)
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