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Section summary |
---|

1. Plate heat
exchangers definition |

2. Calculation
procedure |

Plate heat exchangers are very efficient equipments to exchange heat. This comes from the fact that the fluid flows in narrow channels in between plates and with a certain degree of turbulence that can be helped through the design of the plate.

This has however a major drawback which is the pressure drop required to "push" the products through these channels and with this level of turbulence. The pressure drop generated by plate heat exchangers is therefore a key design criteria for plate heat exchangers. Before starting the design of an exchanger, the Engineer should know what is the pressure drop that can be afforded in the heat exchanger.

The method presented is simplified and gives an idea of the order
of magnitude of pressure drop, it should not be used for detail
design and construction of an equipment where the support of a **specialized
company must be sought.**

The pressure drop in a plate heat exchanger can be estimated thanks to the following correlation :

With

ΔP = Pressure drop through the exchanger, per side
(Pa)

ΔP_{channel} = Pressure drop through the exchanger
channels, in between each plate (Pa)

ΔP_{collector} = Pressure drop in the inlet/outlet ports
of the heat exchanger (Pa)

**It has to be calculated on cold and hot side, as the value can
be different.**

The pressure drop in a plate heat exchanger can be estimated thanks to the following correlation :

With

ΔPf = friction factor (-)

ρ = density of the fluid (kg/m

u = velocity of the fluid in between 2 plates (m/s)

D

l = width of the plates (m)

d

L = plate length (m)

**The friction factor is calculated according to the following
correlations,** depending on the Reynolds and on the corrugation of
the plates.

Some correlations are given below [Neagu] :

**Correlation of Mulley** which is taking into account the
corrugation angle α :

**The correlation of Kumar** is also quite popular, as a
function of the Reynolds [Neagu] :

- f=19.4*Re
^{-0.589}for 10<Re<100 - f=2.990*Re
^{-0.183}for Re>400

With
### 2.2 Calculation of pressure drop in the inlet and outlet
collectors

Re = Reynolds number (-) = ρ.u.D_{h}/μ

μ = viscosity of the fluid (Pa.s)

ρ = density of the fluid (kg/m^{3})

u = velocity of the fluid in between 2 plates (m/s)

D_{h} = hydraulic diameter = [4*l*d_{plate}] /
[2*(l+d_{plate})] (m)

l = width of the plates (m)

d_{plate} = gap in between 2 plates (m)

It is also necessary to take into account the pressure drop in the manifolds at inlet and outlet (often low compared to the pressure drop inside the exchanger however). [Neagu] is giving the following formula to determine the collectors :

It needs to be calculated on both sides and added to the corresponding main pressure drop.

With (either for cold or hot sides)

ΔP_{collector} = Pressure drop in the inlet/outlet
ports of the heat exchanger (Pa)

m = mass flow of either cold or hot fluid (kg/s)

Np = number of passes

D_{collector} = diameter of the collector on the side
considered (m)

μ = viscosity of the fluid (Pa.s)

ρ = density of the fluid (kg/m^{3})

Source

[Neagu] Estimation of pressure
drop in gasket plate heat exchangers, Neagu et al.,De Gruyter, 2016