This paper presents a theoretical study on the effects of magnetohydrodynamics on the peristaltic flow of Jeffrey fluid in
a rectangular duct under the constraints of low Reynold number and long wavelength. Porous media is also taken into
account. The governing equations are modeled and then solved analytically. Numerical integration is used to analyze
the novel features of volumetric flow rate, average volume flow rate, instantaneous flux, and the pressure gradient. The
trapping phenomenon for different physical parameters has been presented through stream lines. The role of pertinent
parameters is illustrated through graphs and tables. Comparison with the existing literature is also made
