Cooling Requirements at Die (Pellets)

Calculates the required heat-transfer area for a die cooling jacket based on melt heat load, coolant flow characteristics, and convective heat transfer correlations.

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1. Define Input Parameters

Inlet Melt Temperature (Tm_in)[°C]

Outlet Melt Temperature (Tm_out)[°C]

Melt Mass Flow Rate (m_melt)[kg/s]

Specific Heat of Melt (cp_melt)[J/(kg·K)]

Inlet Water Temperature (Tw_in)[°C]

Outlet Water Temperature (Tw_out)[°C]

Specific Heat of Water (cp_water)[J/(kg·K)]

Density of Water (rho_water)[kg/m³]

Dynamic Viscosity of Water (mu_water)[Pa·s]

Thermal Conductivity of Water (k_water)[W/(m·K)]

Wall Thickness (t_wall)[m]

Thermal Conductivity of Wall (k_wall)[W/(m·K)]

Hydraulic Diameter (Dh)[m]

External Heat Transfer Coefficient (ho)[W/(m²·K)]

2. Engineering Output

Heat Load (Q)
- W

Coolant Mass Flow Rate (m_water)
- kg/s

Cross-Sectional Area (Ac)
- m²

Water Velocity (v_water)
- m/s

Reynolds Number (Re)
- dimensionless

Prandtl Number (Pr)
- dimensionless

Nusselt Number (Nu)
- dimensionless

Internal Heat Transfer Coefficient (hi)
- W/(m²·K)

Overall Heat Transfer Coefficient (U)
- W/(m²·K)

Log-Mean Temperature Difference (LMTD)
- K

Required Heat Transfer Area (Area)
- m²

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Context & Assumptions

This calculation determines the cooling requirements for a pellet extrusion process by sizing the internal cooling jacket. It ensures the thermoplastic melt reaches the target outlet temperature while maintaining equipment integrity and energy efficiency.

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Cooling Requirements at Die (Pellets)

1. Define Input Parameters

2. Engineering Output

Context & Assumptions

Understand the Engineering Principles

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