Hall effect on unsteady hydromagnetic flow in a rotating channel permeated by an inclined magnetic field in the presence of an oscillator

In continuation with Ghosh (Czech. J. Phys47 (1997) 787) author has extended the problem of an unsteady hydromagnetic flow in a rotating environment in the presence of an inclined magnetic field with the positive direction of the axis of rotation permeated by a fluid-pulse oscillator along the axis of rotation when the Hall current is taken into account. Author has studied that the laminar flow breaks down and it becomes turbulent when the frequency is very high, i.e., ωT=π/2; thermonuclear reaction becomes significant subject to a maximum dissipation of energy into smallest eddies when the kinetic energy is transformed into heat. It is investigated that the Hall current plays a significant role in determining the unsteady MHD flow behaviour subject to an intrinsic stability of the flow pattern in relation with a modified Ghosh inertial frequency ω=(1/2){[4K2 + 2mM2 cosϑ/(1 +m2)]2 − [M2 sin2ϑ/(1 +m2)]2∼1/2 in a rotating system which seems to have disappeared in the literature since 1942.