Time-dependent MHD Couette flow of rotating fluid with Hall and ion-slip currents

The unsteady magnehydrodynamics （MHD） Couette flow of an electrically conducting fluid in a rotating system is investigated by taking the Hall and ion-slip currents into consideration. The derived fundamental equations on the assumption of a small magnetic Reynolds number are solved analytically with the well-known Laplace transform technique. The unified closed-form expressions axe obtained for the velocity and the skin friction in the two different cases of the magnetic field being fixed to either the fluid or the moving plate. The effects of various parameters on the velocity and the skin friction axe discussed by graphs. The results reveal that the primary and secondary velocities increase with the Hall current. An increase in the ion-slip paxameter also leads to an increase in the primary velocity but a decrease in the secondary velocity. It is also shown that the combined effect of the rotation, Hall, and ion-slip parameters determines the contribution of the secondary motion in the fluid flow.

Neurons Can Generate Electromagnetic Waves

Based on the potassium channel “origami windmill” model, and the conservation law of cell membrane area and ion inequality equation of based on the potassium channel “origami windmill” model, and Maxwell’s electromagnetic theory, it is theoretically proved that neurons can generate electromagnetic waves. The electromagnetic wave is an energy wave, never disappear. Neurons are equivalent to engineering antennas, and information between neurons can be transmitted through electromagnetic waves. The material basis for neurons to generate electromagnetic waves is the result of the exchange of cations on the inner surface of the cell membrane, especially Na+ and K+;The essence of consciousness should be electromagnetic wave. The conclusion that “neurons can generate electromagnetic waves” provides theoretical support for human beings to finally solve the mystery of the brain. At the same time, the author gives seven falsification schemes. The brain is a huge gold mine, and it is too important to crack the mystery of the brain. It should be a joint operation of “multiple arms”. It should not only be the work of brain scientists, but also the participation of physicists, chemists and mathematicians.

Unsteady natural convection Couette flow of heat generating/absorbing fluid between vertical parallel plates filled with porous material

The extended Brinkman Darcy model for momentum equations and an energy equation is used to calculate the unsteady natural convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertical channel （formed by two infinite vertical and parallel plates） filled with the fluid-saturated porous medium. The flow is triggered by the asymmetric heating and the accelerated motion of one of the bounding plates. The governing equations are simplified by the reasonable dimensionless parameters and solved analytically by the Laplace transform techniques to obtain the closed form solutions of the velocity and temperature profiles. Then, the skin friction and the rate of heat transfer are consequently derived. It is noticed that, at different sections within the vertical channel, the fluid flow and the temperature profiles increase with time, which are both higher near the moving plate. In particular, increasing the gap between the plates increases the velocity and the temperature of the fluid, however, reduces the skin friction and the rate of heat transfer.