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Applying the Hamilton's quaternion algebra, we propose the generalizedelectromagnetic-fluid dynamics of dyons governed by the combination of theDirac-Maxwell, Bernoulli and Navier-Stokes equations. The generalizedquaternionic hydro-electromagnetic field of dyonic cold plasma consist theelectrons and the magnetic monopoles in which there exist dual-mass anddual-charge species in presence of dyons. We construct the conservation ofenergy and conservation of momentum equations by equating the quaternionicscalar and vector parts for generalized hydro-electromagnetic field of dyoniccold plasma. We propose the quaternionic form of conservation of energy isrelated to the Bernoulli's like equation while the conservation of momentum isrelated to Navier-Stokes like equation for dynamics of dyonic plasma fluid.Further, the continuity equation i.e. the conservation of electric and magneticcharges with the dynamics of hydro-electric and hydro-magnetic flow ofconducting cold plasma fluid is also analyzed. The quaternionic formalism fordyonic plasma wave emphasizes that there are two types of waves propagationnamely the Langmuir like wave propagation due to electrons, and thet-Hooft-Polyakov like wave propagation due to magnetic monopoles.

Quaternionic approach on the Dirac-Maxwell, Bernoulli and Navier-Stokes equations for dyonic fluid plasma