Entropy generation number is mathematically expressed as: 

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  1. \( \frac{\dot s_{gen}}{\dot mR}\)
  2. \( \frac{\dot s_{gen}}{\dot m\ Cp}\)
  3. \(\frac{(Cp-Cv)\dot m}{\dot S_{gen}}\)
  4. \(\frac{Cp\ \dot m}{\dot S_{gen}}\)

Answer (Detailed Solution Below)

Option 2 : \( \frac{\dot s_{gen}}{\dot m\ Cp}\)
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Detailed Solution

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Explanation:-

  • The entropy generation number, denoted as Ns, is a dimensionless quantity that describes the irreversibility of a thermodynamic process. It is mathematically expressed as:

⇒ \(N_s = \frac{dS_{gen}}{\delta S_{rev}}\;\)

equal to the ratio of actualgeneration rate to a characteristic entropy transfer rate. equal to the ratio of actualgeneration rate to a characteristic entropy transfer rate. It is equal to the ratio of the actual generation rate to a characteristic entropy transfer rate. It can also be expressed as,

\(⇒ N_s = \frac{S_{gen}}{m.C_p}\;\)

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