# NTU method - the heat transferred between the fluids (q)

## Description

The Number of Transfer Units (NTU) Method is used to calculate the rate of heat transfer in heat exchangers (especially counter current exchangers) when there is insufficient information to calculate the Log-Mean Temperature Difference (LMTD). In heat exchanger analysis, if the fluid inlet and outlet temperatures are specified or can be determined by simple energy balance, the LMTD method can be used; but when these temperatures are not available The NTU or The Effectiveness method is used.

To define the effectiveness of a heat exchanger we need to find the maximum possible heat transfer that can be hypothetically achieved in a counter-flow heat exchanger of infinite length. Therefore one fluid will experience the maximum possible temperature difference, which is the difference of T_h,i – T_c,i (The temperature difference between the inlet temperature of the hot stream and the inlet temperature of the cold stream). The method proceeds by calculating the heat capacity rates (i.e. mass flow rate multiplied by specific heat) C_h and C_c for the hot and cold fluids respectively, and denoting the smaller one as C_min.

If we know the effectiveness (epsilon) for a particular heat exchanger, and we know the inlet conditions of the two flow streams, we can calculate the amount of heat being transferred between the fluids by the shown formula.

The effectiveness can be calculated by the formula:

Related formulas## Variables

q | Heat transferred between the fluids (W) |

ϵ | Effectiveness (dimensionless) |

C_{min} | Smaller heat capacity rates for the hot and cold fluids (W/K) |

T_{hi} | Inlet temperature of the hot stream (K) |

Tci | Inlet temperature of the cold stream (K) |