Abstract
The instinct system of cilia motion with magnetic field and slip for Jeffrey fluid model in a symmetric channel is examined. The problem of two-dimensional fluid motion in a symmetric channel with ciliated walls is considered. The structures of ciliary motion are stubborn by the sovereignty of viscid possessions above inertial properties by the long-wavelength and low Reynolds approximation. Exact solutions for the longitudinal pressure gradient, temperature and velocities are obtained. The pressure gradient and volume flow rate for different values of the flow parameters are also discussed. The flow property for the Jeffrey fluid is presented graphically as a function of the cilia and metachronal wave velocity.