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Heat Transfer, Pressure Drop and Cross Flow Mixing

DOI 10.1615/hedhme.a.000388

3.23 TWISTED TUBE HEAT EXCHANGERS
3.23.3 Heat transfer, pressure drop and cross flow mixing

A. Heat transfer and pressure drop for the shell side of heat exchangers with twisted tubes in longitudinal flow

The pressure loss for the shell-side flow of a variable density fluid (i.e. a gas) can by calculated from the momentum equation for a section of finite length:

\[\label{eq1} \Delta p = f \frac{l_{c}}{d_{eq}}\left(\dfrac{\dot{M}}{F_{f}}\right)\dfrac{1}{2 \rho_{mean}}+\left(\frac{\dot{M}}{F_{f}}\right)^{\!2}\left[\left(\frac{1}{\rho_{2}}-\frac{1}{\rho_{1}}\right)\right], \tag{1}\]

where Ff is the cross sectional flow area and where

\[\rho_{mean} = \frac{p_{mean}}{RT_{mean}}, \quad T_{mean}=\dfrac{T_{1}+T_{2}}{2}, \quad p_{mean}=\dfrac{p_{1}+p_{2}}{2}.\]

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