Effectiveness When Mhch Is Minimum Value Calculator

Effectiveness Formula:

\[ \varepsilon = \frac{m_h \cdot c_h}{C_{min}} \times \frac{T_1 - t_2}{T_1 - t_1} \]

Mass Flow Rate of Hot Fluid (m_h):

kg/s

Specific Heat of Hot Fluid (c_h):

J/kg·K

Smaller Value (C_min):

W/K

Entry Temperature of Hot Fluid (T_1):

Exit Temperature of Cold Fluid (t_2):

Entry Temperature of Cold Fluid (t_1):

Effectiveness of Heat Exchanger (ε):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Heat Exchanger Effectiveness?

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

2. How Does the Calculator Work?

The calculator uses the effectiveness formula:

\[ \varepsilon = \frac{m_h \cdot c_h}{C_{min}} \times \frac{T_1 - t_2}{T_1 - t_1} \]

Where:

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

Explanation: This formula calculates the effectiveness when the hot fluid has the minimum heat capacity rate (m_h·c_h = C_min).

3. Importance of Effectiveness Calculation

Details: Effectiveness calculation is crucial for heat exchanger design and performance evaluation. It helps engineers optimize heat transfer efficiency, select appropriate equipment, and analyze thermal system performance.

4. Using the Calculator

Tips: Enter all values in appropriate units. Mass flow rate and specific heat must be positive values. Temperature values should be in Kelvin. Ensure C_min is correctly identified as the smaller heat capacity rate.

5. Frequently Asked Questions (FAQ)

Q1: What does effectiveness value range indicate?
A: Effectiveness ranges from 0 to 1. A value of 1 indicates maximum possible heat transfer, while 0 indicates no heat transfer.

Q2: When is this specific formula applicable?
A: This formula is specifically used when the hot fluid stream has the minimum heat capacity rate (m_h·c_h = C_min).

Q3: How does effectiveness differ from efficiency?
A: Effectiveness compares actual heat transfer to maximum possible, while efficiency typically compares output to input energy in different contexts.

Q4: What factors affect heat exchanger effectiveness?
A: Flow arrangement, heat transfer area, fluid properties, flow rates, and temperature differences all affect effectiveness.

Q5: Can effectiveness exceed 1?
A: No, effectiveness is defined between 0 and 1. Values outside this range indicate calculation errors or invalid assumptions.