Peristaltic MHD flow of third grade fluid with an endoscope and variable viscosity

This investigation deals with the mechanism of peristaltic transport of a non-Newtonian, incompressible and electrically conducting fluid with variable viscosity and an endoscope effects. The magnetic Reynolds number is taken to be small. The mechanical properties of the material are represented by the constitutive equation for a third grade fluid. The fluid fills the gap between coaxial uniform tubes, such that the inner tube is rigid and outer tube with sinusoidal wave travelling down its wall. Numerical solutions are given for large wavelength at low Reynolds number.