Effectiveness When Mc-Cc Is Minimum Value Calculator

Effectiveness Formula:

\[ \varepsilon = \frac{m_c \cdot c_c}{C_{min}} \cdot \frac{t_2 - t_1}{T_1 - t_1} \]

Mass Flow Rate of Cold Fluid (mc):

kg/s

Specific Heat of Cold Fluid (cc):

J/kg·K

Smaller Value (Cmin):

W/K

Exit Temperature of Cold Fluid (t2):

Entry Temperature of Cold Fluid (t1):

Entry Temperature of Hot Fluid (T1):

Effectiveness of Heat Exchanger (ε):

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1. What is Heat Exchanger Effectiveness?

The effectiveness of a heat exchanger is defined as the ratio of the actual heat transfer to the maximum possible heat transfer. It measures how efficiently a heat exchanger transfers thermal energy between two fluids.

2. How Does the Calculator Work?

The calculator uses the effectiveness formula:

\[ \varepsilon = \frac{m_c \cdot c_c}{C_{min}} \cdot \frac{t_2 - t_1}{T_1 - t_1} \]

Where:

\( \varepsilon \) — Effectiveness of heat exchanger
\( m_c \) — Mass flow rate of cold fluid (kg/s)
\( c_c \) — Specific heat of cold fluid (J/kg·K)
\( C_{min} \) — Smaller value of heat capacity rates (W/K)
\( t_2 \) — Exit temperature of cold fluid (K)
\( t_1 \) — Entry temperature of cold fluid (K)
\( T_1 \) — Entry temperature of hot fluid (K)

Explanation: This formula calculates the effectiveness when the cold fluid has the minimum heat capacity rate (mc·cc = Cmin).

3. Importance of Effectiveness Calculation

Details: Effectiveness calculation is crucial for evaluating heat exchanger performance, optimizing thermal systems, and designing efficient heat transfer equipment in various industrial applications.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure temperatures are in consistent units (K or °C) and that entry temperatures are not equal to avoid division by zero.

5. Frequently Asked Questions (FAQ)

Q1: What does effectiveness value range from?
A: Effectiveness ranges from 0 to 1, where 0 means no heat transfer and 1 means maximum possible heat transfer.

Q2: When is this specific formula applicable?
A: This formula is specifically used when the cold fluid stream has the minimum heat capacity rate (mc·cc = Cmin).

Q3: What is Cmin in heat exchanger analysis?
A: Cmin is the smaller of the two heat capacity rates (m·cp) of the hot and cold fluids flowing through the heat exchanger.

Q4: How does effectiveness differ from efficiency?
A: Effectiveness compares actual heat transfer to maximum possible, while efficiency typically compares output to input in energy conversion systems.

Q5: What factors affect heat exchanger effectiveness?
A: Flow arrangement, heat transfer area, fluid properties, flow rates, and temperature differences all affect effectiveness.