Analyze heat transfer in jacketed reactors and vessels
Calculate the overall heat transfer coefficient for jacketed vessels
Analyze the impact of agitation on heat transfer performance
Calculate heating/cooling time and visualize temperature profile
Overall U Value
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W/m²·K
Vessel Side Resistance
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m²·K/W
Jacket Side Resistance
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m²·K/W
Reynolds Number
-
Nusselt Number
-
Prandtl Number
-
Vessel Side h
-
W/m²·K
Heating Time
-
minutes
Heat Required
-
kJ
Heating Rate
-
kW
High speed, low viscosity
Versatile, most common
High viscosity fluids
Medium viscosity
The overall heat transfer coefficient (U) for jacketed vessels is calculated as the inverse of the sum of individual resistances:
Where hvessel and hjacket are convective heat transfer coefficients, and Rwall is the wall resistance (often neglected in simplified calculations).
Agitation significantly improves heat transfer by increasing turbulence and reducing boundary layer thickness. The dimensionless numbers used to characterize agitation are:
Where ρ is density, N is rotational speed, Da is agitator diameter, μ is viscosity, Cp is specific heat, and k is thermal conductivity.
The time required to heat or cool a batch in a jacketed vessel depends on the heat transfer rate, batch size, and temperature difference. For heating with constant jacket temperature:
Where m is mass, Cp is specific heat, U is overall heat transfer coefficient, A is heat transfer area, Tj is jacket temperature, Ti is initial temperature, and Tf is final temperature.