System and method for sorbtion distillation

A method of distilling water, comprising:

• a. providing a plurality of stages, each stage comprising a hot adsorbent bed and a cold adsorbent bed, wherein each stage has upper and lower operating temperature limits, a difference between the upper and lower operating temperature limits being less than about 20° C., and each stage comprises an evaporator and a condenser;
• b. beginning a forcing phase, wherein the forcing phase comprises:
• i. providing an external heat source to heat the hot adsorbent bed of a first stage to a first temperature;
• ii. desorbing water vapor from the hot adsorbent bed of the first stage and flowing water vapor into a condenser of the first stage;
• iii. condensing water vapor in the condenser of the first stage to form a liquid water and removing at least some of the liquid water from the condenser of the first stage;
• iv. providing a solution comprising water and at least one dissolved impurity to an evaporator of the first stage, the solution having a temperature predetermined to suit an equilibrium uptake of an adsorbent, where a suitable temperature is predetermined by first selecting both a desired operational temperature range and uptake range for the adsorbent, then selecting the temperature of the solution such that a saturated water vapor partial pressure corresponds to the desired operational temperature range and uptake range;
• v. transferring a forcing phase latent heat of vaporization from vapor condensing in the condenser of the first stage to the evaporator of the first stage to evaporate the solution comprising water and at least one dissolved impurity to form water vapor;
• vi. adsorbing water vapor from the evaporator of the first stage into the cold adsorbent bed of the first stage;
• vii. transferring heat of adsorption generated by the cold adsorbent bed of the first stage to heat a hot adsorbent bed of a second stage to a second temperature less than the first temperature using vapor generated through conduction of heat from the cold adsorbent bed of the first stage into at least one sealed tube and at least one sealed manifold chamber connecting the cold adsorbent bed of the first stage and the hot adsorbent bed of the second stage, wherein the at least one sealed tube and the at least one sealed manifold chamber are evacuated of non-condensable gases and partially filled with a volatile liquid;
• viii. repeating steps ii-vii for each of the plurality of stages until each bed in each of the plurality of stages has had water vapor desorbed from the bed or adsorbed into the bed;
• ix. exhausting heat of adsorption generated by the cold adsorbent bed of a final stage externally, the final stage being a stage in the plurality of stages;
• and
• c. ending the forcing phase and beginning a relaxing phase, wherein the relaxing phase comprises:
• x. transferring both sensible heat of the hot adsorbent bed of the first stage and heat of adsorption from the hot adsorbent bed of the first stage to the cold adsorbent bed of the first stage using vapor generated through conduction of heat from the hot adsorbent bed of the first stage into at least one sealed tube and at least one sealed manifold chamber connecting the hot adsorbent bed of the first stage to the cold adsorbent bed of the first stage, wherein the at least one sealed tube and the at least one sealed manifold chamber are evacuated of non-condensable gases and partially filled with a volatile liquid;
• xi. desorbing water vapor from the cold adsorbent bed of the first stage into the condenser of the first stage;
• xii. condensing water vapor in the condenser of the first stage to form liquid water and removing at least some of the liquid water from the condenser;
• xiii. providing the solution comprising water and at least one dissolved impurity to the evaporator of the first stage;
• xiv. transferring a relaxing phase latent heat of vaporization from vapor condensing in the condenser of the first stage to the evaporator of the first stage to evaporate the solution comprising water and at least one dissolved impurity to form water vapor;
• xv. adsorbing water vapor from the evaporator of the first stage into the hot adsorbent bed of the first stage, generating a heat of adsorption;
• xvi. repeating steps x-xv for each of the plurality of stages;
• and
• d. ending the relaxing phase,
• wherein the solution comprising water and at least one dissolved impurity is used to remove heat from at least one bed of at least one stage,
• wherein at least a portion of the solution enters the evaporator of the first stage, and
• wherein at least a portion of the solution is transferred from the evaporator of each stage prior to the final stage to the evaporator of one or more subsequent stages.