When a polymer melt is pressed trough a filter media, the pressure drops.
Lets assume before the filter, the melt pressure is 180 bar and after the filter media, its 90 bar. From my humble opinion, energy should be emitted by the pressure drop. Not like in a refrigerator when gases relax, but as the energy potential changes, I imagine energy to be emitted. I assume its emitted by heat, so the polymer temperature should increase. How can I calculate this increase?
Dear Simon Bard
Hope this Answer will help you.
@
You are correct that the pressure drop across a filter can result in an increase in temperature due to the conversion of potential energy to thermal energy. This increase in temperature can be calculated using the following equation:
ΔT = (ΔP / (ρ × Cp))
where ΔT is the temperature increase, ΔP is the pressure drop, ρ is the density of the polymer melt, and Cp is the specific heat capacity of the polymer melt.
To use this equation, you will need to know the density and specific heat capacity of the polymer melt. These properties can vary depending on the specific polymer being used and its processing conditions, so you will need to consult literature or experimental data to obtain these values. As an example, the density and specific heat capacity of polyethylene (PE) melt at processing temperatures can be approximately 900 kg/m^3 and 2.0 kJ/(kg·K), respectively.
Assuming a pressure drop of 90 bar (9000 kPa) and a density and specific heat capacity of the PE melt as mentioned above, the temperature increase can be calculated as:
ΔT = (9000 kPa / (900 kg/m^3 × 2.0 kJ/(kg·K))) = 2.5 K
Therefore, in this example, the temperature of the polymer melt would increase by approximately 2.5 degrees Celsius as a result of the pressure drop across the filter media.
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