NOVELTY - A temperature swing adsorption method for separating a fluid mixture comprising at least first and second fluid components, comprises: (a) admitting the fluid mixture into an adsorptive separation system; (b) admitting the fluid mixture; (c) adsorbing at least a portion of the first fluid component on the adsorbent material; (d) transferring heat from a heat of adsorption of the first fluid; (e) recovering a first product fluid; (f) desorbing at least a portion of the first fluid component; (g) transferring heat; and (h) recovering a desorbed second product fluid.    USE - The temperature swing adsorption method and process are useful for separating a fluid mixture comprising at least first and second fluid components; for separating carbon dioxide from a flue gas feed mixture comprising at least carbon dioxide and nitrogen components; and for separating at least one of carbon dioxide and hydrogen sulfide from a natural gas feed mixture comprising at least one of carbon dioxide and hydrogen sulfide and methane components (all claimed).    ADVANTAGE - The method and process allow separation of a first fluid component from a fluid mixture comprising at least the first fluid component in an adsorptive separation system having a parallel passage adsorbent contactor with parallel flow passages having cell walls which include an adsorbent material and axial thermally conductive filaments in direct contact with the adsorbent material.    DETAILED DESCRIPTION - A temperature swing adsorption method for separating a fluid mixture comprising at least first and second fluid components, comprises: (a) admitting the fluid mixture into an adsorptive separation system comprising at least one parallel passage adsorbent contactor, the parallel passage adsorbent contactor comprising a set of substantially parallel fluid flow passages oriented in a first axial direction between an inlet and an outlet end cell walls situated between the fluid flow passages comprising at least one adsorbent material; and a set of axially continuous thermally conductive filaments oriented in the axial direction and in direct contact with the adsorbent material; (b) admitting the fluid mixture into the inlet end of the parallel passage adsorbent contactor to flow towards the outlet end in the first axial direction; (c) adsorbing at least a portion of the first fluid component on the adsorbent material; (d) transferring heat from a heat of adsorption of the first fluid component on the adsorbent material along at least a portion of the thermally conductive filaments in a second axial direction towards the inlet end and opposite to the first axial direction during the adsorbing step; (e) recovering a first product fluid depleted in the first fluid component relative to the fluid mixture from the outlet end; (f) desorbing at least a portion of the first fluid component adsorbed on at least one the adsorbent material by heating at least one the adsorbent material; (g) transferring heat along at least a portion of the thermally conductive filaments in either of the first or second axial directions to provide at least a portion of the heat of desorption of the first fluid component during the desorbing step; and (h) recovering a desorbed second product fluid enriched in the first fluid component from at least one of the inlet and the outlet ends. An INDEPENDENT CLAIM is a temperature swing adsorption process for separating carbon dioxide from a flue gas feed mixture comprising at least carbon dioxide and nitrogen components, comprising: admitting the flue gas feed mixture into an adsorptive separation system comprising at least one parallel passage adsorbent contactor, the parallel passage adsorbent contactor comprising a set of substantially parallel fluid flow passages oriented in a first axial direction between an inlet and an outlet end cell walls situated between the fluid flow passages comprising at least one carbon dioxide adsorbent material; and a set of axially continuous thermally conductive filaments oriented in the axial direction and in direct contact with the carbon dioxide adsorbent material; admitting the flue gas into the inlet end of the parallel passage adsorbent contactor to flow towards the outlet end in the first axial direction adsorbing at least a portion of the carbon dioxide component on the carbon dioxide adsorbent material; transferring heat from a heat of adsorption of carbon dioxide on the carbon dioxide adsorbent material along at least a portion of the thermally conductive filaments in a second axial direction towards the inlet end and opposite to the first axial direction during the adsorbing step; recovering a flue gas product stream depleted in carbon dioxide relative to the flue gas feed mixture from the outlet end; desorbing at least a portion of the carbon dioxide adsorbed on at least one the carbon dioxide adsorbent material by heating at least one the adsorbent material; transferring heat along at least a portion of the thermally conductive filaments in either of the first or second axial directions to provide at least a portion of the heat of desorption of the carbon dioxide during the desorbing step; and recovering a desorbed carbon dioxide product enriched in carbon dioxide from at least one of the inlet and the outlet ends.    DESCRIPTION OF DRAWING(S) - The drawing shows a cross-sectional and corresponding inset perspective view of a parallel passage adsorbent contactor structure.    Parallel passage adsorbent contactor (102)    First and second ends (104, 106)    Cylindrical outer surface (108)    Parallel passages (110)    Cell walls (112)    Thermally conductive filaments (114)