Mass of solid per unit length of matrix Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material)
ML = (hConv*SA*ttotal)/(n*cs)
This formula uses 6 Variables
Variables Used
Mass of Solid - The Mass of Solid is the total weight of a solid material, which is essential for analyzing heat transfer and mechanical properties in heat exchanger applications.
Convective Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Convective Heat Transfer Coefficient is a measure of the heat transfer rate between a solid surface and a fluid in motion, influencing the efficiency of heat exchangers.
Surface Area - (Measured in Square Meter) - The Surface Area is the total area exposed to the surrounding environment, influencing heat transfer efficiency in heat exchangers and impacting overall system performance.
Total Time Taken - (Measured in Second) - The Total Time Taken is the duration required for a specific process or operation within the context of heat exchangers in mechanical systems.
Time Factor - The Time Factor is a measure that indicates the duration required for heat transfer processes within a heat exchanger, influencing its efficiency and performance.
Specific heat of matrix material - (Measured in Joule per Kilogram per K) - The Specific heat of matrix material is the amount of heat required to raise the temperature of a unit mass of the matrix material by one degree Celsius.
STEP 1: Convert Input(s) to Base Unit
Convective Heat Transfer Coefficient: 0.51 Watt per Square Meter per Kelvin --> 0.51 Watt per Square Meter per Kelvin No Conversion Required
Surface Area: 18 Square Meter --> 18 Square Meter No Conversion Required
Total Time Taken: 78.43137 Second --> 78.43137 Second No Conversion Required
Time Factor: 8.16 --> No Conversion Required
Specific heat of matrix material: 15 Joule per Kilogram per K --> 15 Joule per Kilogram per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ML = (hConv*SA*ttotal)/(n*cs) --> (0.51*18*78.43137)/(8.16*15)
Evaluating ... ...
ML = 5.88235275
STEP 3: Convert Result to Output's Unit
5.88235275 --> No Conversion Required
FINAL ANSWER
5.88235275 5.882353 <-- Mass of Solid
(Calculation completed in 00.004 seconds)

Credits

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Created by Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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University Institute of Technology RGPV (UIT - RGPV), Bhopal
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Physical Parameters of Heat Exchanger Calculators

Mass flow rate of cold fluid
​ LaTeX ​ Go Mass Flow Rate of Cold Fluid = (Effectiveness of Heat Exchanger*Minimum heat capacity/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)))
Mass flow rate of hot fluid
​ LaTeX ​ Go Mass Flow Rate of Hot Fluid = (Effectiveness of Heat Exchanger*Minimum heat capacity/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)))
Correction factor in heat exchanger
​ LaTeX ​ Go Correction Factor = Heat exchanged/(Overall Heat Transfer Coefficient*Area*Logarithmic Mean Temperature Difference)
Area of heat exchanger
​ LaTeX ​ Go Area = Heat exchanged/(Overall Heat Transfer Coefficient*Logarithmic Mean Temperature Difference*Correction Factor)

Mass of solid per unit length of matrix Formula

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

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 Mass of solid per unit length of matrix?

Mass of solid per unit length of matrix calculator uses Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material) to calculate the Mass of Solid, Mass of solid per unit length of matrix formula is defined as a measure of the mass distribution of solid material within a heat exchanger matrix, which influences the efficiency of heat transfer and overall performance of the system. Mass of Solid is denoted by ML symbol.

How to calculate Mass of solid per unit length of matrix using this online calculator? To use this online calculator for Mass of solid per unit length of matrix, enter Convective Heat Transfer Coefficient (hConv), Surface Area (SA), Total Time Taken (ttotal), Time Factor (n) & Specific heat of matrix material (cs) and hit the calculate button. Here is how the Mass of solid per unit length of matrix calculation can be explained with given input values -> 5.882353 = (0.51*18*78.43137)/(8.16*15).

FAQ

What is Mass of solid per unit length of matrix?
Mass of solid per unit length of matrix formula is defined as a measure of the mass distribution of solid material within a heat exchanger matrix, which influences the efficiency of heat transfer and overall performance of the system and is represented as ML = (hConv*SA*ttotal)/(n*cs) or Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material). The Convective Heat Transfer Coefficient is a measure of the heat transfer rate between a solid surface and a fluid in motion, influencing the efficiency of heat exchangers, The Surface Area is the total area exposed to the surrounding environment, influencing heat transfer efficiency in heat exchangers and impacting overall system performance, The Total Time Taken is the duration required for a specific process or operation within the context of heat exchangers in mechanical systems, The Time Factor is a measure that indicates the duration required for heat transfer processes within a heat exchanger, influencing its efficiency and performance & The Specific heat of matrix material is the amount of heat required to raise the temperature of a unit mass of the matrix material by one degree Celsius.
How to calculate Mass of solid per unit length of matrix?
Mass of solid per unit length of matrix formula is defined as a measure of the mass distribution of solid material within a heat exchanger matrix, which influences the efficiency of heat transfer and overall performance of the system is calculated using Mass of Solid = (Convective Heat Transfer Coefficient*Surface Area*Total Time Taken)/(Time Factor*Specific heat of matrix material). To calculate Mass of solid per unit length of matrix, you need Convective Heat Transfer Coefficient (hConv), Surface Area (SA), Total Time Taken (ttotal), Time Factor (n) & Specific heat of matrix material (cs). With our tool, you need to enter the respective value for Convective Heat Transfer Coefficient, Surface Area, Total Time Taken, Time Factor & Specific heat of matrix material 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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