Useful heat gain in liquid storage tank Calculator

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✖Mass Flow Rate 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 [m]			+10% -10%
✖Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖Temperature of liquid from collector is the temperature increase in the fluid after absorbing incident radiation from sun.ⓘ Temperature of Liquid from Collector [T_fo]			+10% -10%
✖Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time.ⓘ Temperature of Liquid in Tank [T_l]			+10% -10%

✖Useful heat gain is defined as the rate of heat transfer to the working fluid.ⓘ Useful heat gain in liquid storage tank [q_u]

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Formula

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Useful heat gain in liquid storage tank

Formula

`"q"_{"u"} = "m"*"C"_{"p molar"}*("T"_{"fo"}-"T"_{"l"})`

Example

`"-91500W"="25kg/s"*"122J/K*mol"*("320K"-"350K")`

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Useful heat gain in liquid storage tank Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
q_u = m*C_{p molar}*(T_fo-T_l)
This formula uses 5 Variables

Variables Used

Useful heat gain - (Measured in Watt) - Useful heat gain is defined as the rate of heat transfer to the working fluid.
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.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Temperature of Liquid from Collector - (Measured in Kelvin) - Temperature of liquid from collector is the temperature increase in the fluid after absorbing incident radiation from sun.
Temperature of Liquid in Tank - (Measured in Kelvin) - Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time.

STEP 1: Convert Input(s) to Base Unit

Mass Flow Rate during Charging and Discharging: 25 Kilogram per Second --> 25 Kilogram per Second No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Temperature of Liquid from Collector: 320 Kelvin --> 320 Kelvin No Conversion Required
Temperature of Liquid in Tank: 350 Kelvin --> 350 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_u = m*C_{p molar}*(T_fo-T_l) --> 25*122*(320-350)

Evaluating ... ...

q_u = -91500

STEP 3: Convert Result to Output's Unit

-91500 Watt --> No Conversion Required

FINAL ANSWER

-91500 Watt <-- Useful heat gain

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

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

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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)

Useful heat gain in liquid storage tank Formula

How do we get useful heat gain?

Useful heat gain is nothing but the difference between the incident (absorbed) radiation and the heat lost due to convection, re-radiation, and conduction.

How to Calculate Useful heat gain in liquid storage tank?

Useful heat gain in liquid storage tank calculator uses 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) to calculate the Useful heat gain, The Useful heat gain in liquid storage tank formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications. Useful heat gain is denoted by q_u symbol.

How to calculate Useful heat gain in liquid storage tank using this online calculator? To use this online calculator for Useful heat gain in liquid storage tank, enter Mass Flow Rate during Charging and Discharging (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Temperature of Liquid from Collector (T_fo) & Temperature of Liquid in Tank (T_l) and hit the calculate button. Here is how the Useful heat gain in liquid storage tank calculation can be explained with given input values -> -91500 = 25*122*(320-350).

FAQ

What is Useful heat gain in liquid storage tank?

The Useful heat gain in liquid storage tank formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications and is represented as q_u = m*C_{p molar}*(T_fo-T_l) or 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). Mass Flow Rate during Charging and Discharging is defined as the amount of transfer fluid flowing through the storage device per unit time, Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure, Temperature of liquid from collector is the temperature increase in the fluid after absorbing incident radiation from sun & Temperature of liquid in tank is the uniform temperature of the well-mixed liquid which only varies with time.

How to calculate Useful heat gain in liquid storage tank?

The Useful heat gain in liquid storage tank formula is defined as the amount of heat absorbed from the incident radiation from the sun which has further applications is calculated using 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). To calculate Useful heat gain in liquid storage tank, you need Mass Flow Rate during Charging and Discharging (m), Molar Specific Heat Capacity at Constant Pressure (C_{p molar}), Temperature of Liquid from Collector (T_fo) & Temperature of Liquid in Tank (T_l). With our tool, you need to enter the respective value for Mass Flow Rate during Charging and Discharging, Molar Specific Heat Capacity at Constant Pressure, Temperature of Liquid from Collector & Temperature of Liquid in Tank 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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