Application of viscous fluid in biological system

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The study investigates the behavior of an incompressible, viscous, electrically conducting fluid influenced by a transverse magnetic field. By transforming the governing equations into an ordinary differential equation using dimensionless parameters, the research provides analytical solutions for axial velocity, flow rate, and dynamic viscosity. It highlights that the magnetic field reduces flow rate and alters the velocity profile, exemplified through magnetohydrodynamics blood flow in a narrow tube, where increased magnetic fields diminish bluntness in the velocity profile and enhance apparent viscosity.