Minimum mass-entransy dissipation profile for one-way isothermal diffusive mass-transfer process with mass-resistance and massleakage

As a new concept,mass-entransy is one of the twins in the core of entransy theory.It can describe mass-transfer ability for masstransfer processes（MTPes）,just as thermal-entransy for describing heat-transfer ability.Accordingly,mass-entransy dissipation can be utilized to evaluate the loss of mass-transfer ability.Minimum mass-entransy dissipation（MMED） is utilized to optimize one-way isothermal diffusive MTPes with mass-leakage and mass-transfer law(g ∝ Δ（c）,where c means concentration).For a given net amount of mass-transferred key components at the low-concentration side,optimality-condition for the MMED of isothermal diffusive MTPes is obtained by using the averaged-optimization-method.Effects of the amount of mass-transferred and mass-leakage on optimal results are analyzed,and the obtained optimization profiles are compared with those for MTP profiles of constant-concentration-difference（c1-c2=const） and constant-concentration-ratio（c1/c2=const）.The product of square of key-component-concentration（KCC） difference between high-and low-concentration sides and inert component concentration at high-concentration side for the MMED of the MTP with no mass-leakage is a constant,and the optimal relationship of the KCCs between high-and low-concentration sides with mass-leakage is significantly different from the former.When mass-leakage is relatively small,the MTP with c1-c2=const strategy is superior to that with c1/c2=const strategy,and the latter is superior to the former with an increase in mass-leakage.A combination of mass-entransy concept,finite-time thermodynamics,and averaged-optimization-method is a meaningful tool for optimizing MTPes.