where ¹.*-, and ¹s are the milk and heating medium temperature, respectively.
The first domain corresponds to the number of channels and the second to the inlet or outlet point.
For example,¹.*-,(1,¸) is the milk temperature at the outlet(¸)of channel 1 which must be equal to the inlet temperature of channel 2, ¹.*-,(2,¸).
Finally ¹&*/ and ¹4*/ are the milk and heating medium inlet temperatures, respectively.
Appropriate boundary conditions are utilized for the protein concentrations at the inlet and outlet of each channel where milk flows. For the first channel these have the following form:
where ¹.*-, and ¹s are the milk and heating medium temperature, respectively.
The first domain corresponds to the number of channels and the second to the inlet or outlet point.
For example,¹.*-,(1,¸) is the milk temperature at the outlet(¸)of channel 1 which must be equal to the inlet temperature of channel 2, ¹.*-,(2,¸).
Finally ¹&*/ and ¹4*/ are the milk and heating medium inlet temperatures, respectively.
Appropriate boundary conditions are utilized for the protein concentrations at the inlet and outlet of each channel where milk flows. For the first channel these have the following form:
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