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In this investigation, we portray the effect of inclined mag netic field on peristaltic flow of a Jeffrey fluid in presence of heat and mass transfer in an inclined symmetric or asymmetri c channel. The Joule heating, Soret, Dufour and slip effects are taken into a consideration. The governing equations are converte d f om moving to fixed frame of reference and the resulting equ ations have then been simplified utilizing the assumptions of long wavel ength and low but finite Reynolds number approximation. Semi analytical solutions have been obtained for the pressure gradient, tem perature distribution, concentration distribution, long itudinal velocity and pressure rise by using the multi-steps differential transf orm method (Ms-DTM), a reliable and sturdy technique that im prove accuracy and overcome drawbacks raised in using the standard differe ntial transform method (DTM). This model is applicable to wa ter transport from ground to upper branches of tall trees, petroleum indus try, food industries and vegetable glycerin. In fact, the mu lti-step DTM is applicable to nonlinear models such as Non-Newtonian peris taltic fluid models which is more complicated and have a highe r degree of non-linearity, in a direct way without using linearization , perturbation or restrictive assumptions.

Semi-analytical solution to MHD peristaltic flow of a Jeffrey fluid in presence of Joule heat effect by using Multi-step differential transform method