Mass flow rate maintained during charging and discharging Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid)
m = TSC/(tp*Cpk*ΔTi)
This formula uses 5 Variables
Variables Used
Mass Flow Rate during Charging and Discharging - (Measured in Kilogram per Second) - Mass Flow Rate during Charging and Discharging is defined as the amount of transfer fluid flowing through the storage device per unit time.
Theoretical Storage Capacity - (Measured in Joule) - Theoretical Storage Capacity is defined as the amount of heat energy which a device can store theoretically.
Time Period of Charging and Discharging - (Measured in Second) - Time Period of Charging and Discharging is the time period for which the difference between the temperature of liquid entering and leaving the device is recorded.
Specific Heat Capacity at Constant Pressure per K - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure.
Change in Temperature of Transfer Fluid - (Measured in Kelvin) - Change in Temperature of Transfer Fluid is the step-wise increase in uniform initial temperature of transfer liquid.
STEP 1: Convert Input(s) to Base Unit
Theoretical Storage Capacity: 100 Gigajoule --> 100000000000 Joule (Check conversion here)
Time Period of Charging and Discharging: 4 Hour --> 14400 Second (Check conversion here)
Specific Heat Capacity at Constant Pressure per K: 5000 Kilojoule per Kilogram per K --> 5000000 Joule per Kilogram per K (Check conversion here)
Change in Temperature of Transfer Fluid: 313 Kelvin --> 313 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = TSC/(tp*Cpk*ΔTi) --> 100000000000/(14400*5000000*313)
Evaluating ... ...
m = 0.00443734469293575
STEP 3: Convert Result to Output's Unit
0.00443734469293575 Kilogram per Second --> No Conversion Required
FINAL ANSWER
0.00443734469293575 0.004437 Kilogram per Second <-- Mass Flow Rate during Charging and Discharging
(Calculation completed in 00.004 seconds)

Credits

Created by ADITYA RAWAT
DIT UNIVERSITY (DITU), Dehradun
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8 Thermal Energy Storage Calculators

Mass flow rate maintained during charging and discharging
Go Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid)
Theoretical Storage Capacity given Change in Initial Temperature
Go Theoretical Storage Capacity = Mass Flow Rate during Charging and Discharging*Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid
Liquid Temperature given Useful Heat Gain
Go Temperature of Liquid in Tank = Temperature of Liquid from Collector-(Useful heat gain/(Mass Flow Rate during Charging and Discharging*Molar Specific Heat Capacity at Constant Pressure))
Useful heat gain in liquid storage tank
Go Useful heat gain = Mass Flow Rate during Charging and Discharging*Molar Specific Heat Capacity at Constant Pressure*(Temperature of Liquid from Collector-Temperature of Liquid in Tank)
Overall heat transfer coefficient in liquid storage tank
Go Overall Heat Transfer Coefficient Thermal Storage = Thermal Conductivity of Insulation/(Radius of Tank*(ln(Radius with Insulation/Radius of Tank)))
Make up Liquid Temperature given Energy Discharge Rate
Go Temperature of Makeup Liquid = Temperature of Liquid in Tank-(Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))
Liquid Temperature given Energy Discharge Rate
Go Temperature of Liquid in Tank = (Energy Discharge Rate to Load/(Mass Flow Rate to Load*Specific Heat Capacity at Constant Pressure per K))+Temperature of Makeup Liquid
Energy Discharge Rate to Load
Go Energy Discharge Rate to Load = Mass Flow Rate to Load*Molar Specific Heat Capacity at Constant Pressure*(Temperature of Liquid in Tank-Temperature of Makeup Liquid)

Mass flow rate maintained during charging and discharging Formula

Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid)
m = TSC/(tp*Cpk*ΔTi)

What is thermal energy storage?

Thermal energy storage means heating or cooling a medium to use the energy when needed later. In its simplest form, this could mean using a water tank for heat storage, where the water is heated at times when there is a lot of energy, and the energy is then stored in the water for use when energy is less plentiful.

How to Calculate Mass flow rate maintained during charging and discharging?

Mass flow rate maintained during charging and discharging calculator uses Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid) to calculate the Mass Flow Rate during Charging and Discharging, The Mass flow rate maintained during charging and discharging is defined as the amount of transfer fluid flowing through the storage device per unit time. Mass Flow Rate during Charging and Discharging is denoted by m symbol.

How to calculate Mass flow rate maintained during charging and discharging using this online calculator? To use this online calculator for Mass flow rate maintained during charging and discharging, enter Theoretical Storage Capacity (TSC), Time Period of Charging and Discharging (tp), Specific Heat Capacity at Constant Pressure per K (Cpk) & Change in Temperature of Transfer Fluid (ΔTi) and hit the calculate button. Here is how the Mass flow rate maintained during charging and discharging calculation can be explained with given input values -> 0.004437 = 100000000000/(14400*5000000*313).

FAQ

What is Mass flow rate maintained during charging and discharging?
The Mass flow rate maintained during charging and discharging is defined as the amount of transfer fluid flowing through the storage device per unit time and is represented as m = TSC/(tp*Cpk*ΔTi) or Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid). Theoretical Storage Capacity is defined as the amount of heat energy which a device can store theoretically, Time Period of Charging and Discharging is the time period for which the difference between the temperature of liquid entering and leaving the device is recorded, Specific Heat Capacity at Constant Pressure per K is the amount of heat that is required to raise the temperature of a unit mass of substance by 1 degree at constant pressure & Change in Temperature of Transfer Fluid is the step-wise increase in uniform initial temperature of transfer liquid.
How to calculate Mass flow rate maintained during charging and discharging?
The Mass flow rate maintained during charging and discharging is defined as the amount of transfer fluid flowing through the storage device per unit time is calculated using Mass Flow Rate during Charging and Discharging = Theoretical Storage Capacity/(Time Period of Charging and Discharging*Specific Heat Capacity at Constant Pressure per K*Change in Temperature of Transfer Fluid). To calculate Mass flow rate maintained during charging and discharging, you need Theoretical Storage Capacity (TSC), Time Period of Charging and Discharging (tp), Specific Heat Capacity at Constant Pressure per K (Cpk) & Change in Temperature of Transfer Fluid (ΔTi). With our tool, you need to enter the respective value for Theoretical Storage Capacity, Time Period of Charging and Discharging, Specific Heat Capacity at Constant Pressure per K & Change in Temperature of Transfer Fluid 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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