  We theoretically investigate the thermoelectric properties (electronic
contribution) of a hybrid structure comprising of an inversion symmetry broken
Weyl semimetal (WSM) and intrinsic Weyl superconductor (WSC) with $s$-wave
pairing, employing the Blonder-Tinkham-Klapwijk formulation for non-interacting
electrons. Our study unfolds interesting features for various relevant physical
quantities such as the thermal conductance, the thermoelectric coefficient and
the corresponding figure of merit. We also explore the effects of an
interfacial insulating (I) barrier (WSM-I-WSC set-up) on the thermoelectric
response in the thin barrier limit. Further, we compute the ratio of the
thermal to the electrical conductance in different temperature regimes and find
that the Wiedemann-Franz law is violated for small temperatures (below critical
temperature $T_{c}$) near the Weyl points while it saturates to the Lorentz
number, away from the Weyl points, at all temperatures irrespective of the
barrier strength. We compare and contrast this behaviour with other Dirac
material heterostructures and provide a detailed analysis of the thermal
transport. Our study can facilitate the fabrication of mesoscopic
thermoelectric devices based on WSMs.
