Useful Heat Gain In Liquid Storage Tank Calculator

Formula Used:

\[ q_u = m \times C_{p,molar} \times (T_{fo} - T_l) \]

Mass Flow Rate during Charging and Discharging:

kg/s

Molar Specific Heat Capacity at Constant Pressure:

J/K/mol

Temperature of Liquid from Collector:

Temperature of Liquid in Tank:

Useful Heat Gain (q_u):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Useful Heat Gain in Liquid Storage Tank?

Useful heat gain in liquid storage tank is defined as the rate of heat transfer to the working fluid. It represents the actual thermal energy that can be effectively utilized from the system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ q_u = m \times C_{p,molar} \times (T_{fo} - T_l) \]

Where:

\( q_u \) — Useful heat gain (W)
\( m \) — Mass flow rate during charging and discharging (kg/s)
\( C_{p,molar} \) — Molar specific heat capacity at constant pressure (J/K/mol)
\( T_{fo} \) — Temperature of liquid from collector (K)
\( T_l \) — Temperature of liquid in tank (K)

Explanation: The formula calculates the thermal energy gained by the fluid as it flows through the system, accounting for the temperature difference and the fluid's heat capacity.

3. Importance of Useful Heat Gain Calculation

Details: Accurate calculation of useful heat gain is crucial for evaluating the efficiency of thermal storage systems, optimizing energy transfer, and designing effective heat exchange systems.

4. Using the Calculator

Tips: Enter mass flow rate in kg/s, molar specific heat capacity in J/K/mol, and temperatures in Kelvin. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of mass flow rate in this calculation?
A: Mass flow rate determines the amount of fluid passing through the system per unit time, directly affecting the total heat transfer capacity.

Q2: Why use molar specific heat capacity instead of specific heat?
A: Molar specific heat capacity allows for consistent calculations across different substances by standardizing to per-mole basis.

Q3: What does negative useful heat gain indicate?
A: Negative values indicate heat loss from the system rather than gain, which occurs when the tank temperature is higher than the collector temperature.

Q4: How does temperature difference affect useful heat gain?
A: The useful heat gain is directly proportional to the temperature difference between the collector output and tank temperature.

Q5: What are typical applications of this calculation?
A: This calculation is essential in solar thermal systems, heat recovery systems, and any application involving liquid-based thermal energy storage.