  In Schwarzschild's acoustic black hole (SABH) spacetime, we investigate the
wave dynamics for the fermions. To this end, we first take into account the
Dirac equation in the SABH by employing a null tetrad in the Newman-Penrose
(NP) formalism. Then, we consider the Dirac and Rarita Schwinger equations,
respectively. The field equations are reduced to sets of radial and angular
equations. By using the analytical solution of the angular equation set, we
decouple the radial wave equations and obtain the one-dimensional
Schr\"{o}dinger like wave equations with their effective potentials. The
obtained effective potentials are graphically depicted and analyzed. Finally,
we investigate the fermionic greybody factors (GFs) radiated by the SABH
spacetime. A thorough investigation is conducted into how the acoustic tuning
parameter affects the GFs of the SABH spacetime. Both the semi-analytic WKB
method and bounds for the GFs are used to produce the results, which are shown
graphically and discussed.
