Emerging Technologies for Food Processing, 2nd Edition

Nomenclature

α

   Ratio of volume of solution to that of each piece

1/A²

   (1/a²) + (1/b²) + (1/c²).

a, b, c

   Half length of the sides of rectangular parallelepiped (m)

A_s, B_s

   Coefficients for solute diffusion in Eqn (11.5)

A_w, B_w

   Coefficients for water diffusion in Eqn (11.6)

C_n

   2α(1 + α)/(1 + α + α²q_n²)

C_cn

   4α(1 + α)/(4 + 4α + α²q_cn²)

C_pn

   2α(1 + α)/(1 +α + α²q_pn²)

D_ew and D_es

   Effective diffusivity of water and solute (m²/s)

F_ow and F_os

   Fourier numbers for moisture and solute diffusion m_o, m_∞, and m_t moisture concentrations initially, at equilibrium, and at any time (kg/kg)

M_r and S_r

   Moisture and solute ratio

q_n's

   Nonzero positive roots of the equation tan q_n = −αq_n.

q_cn's

   Nonzero positive roots of the equation αq_cnJ_o(q_cn) + 2 J₁(q_{cn ...}