Abstract: The aim of this paper is that the exact solutions of Non-Newtonian fluid namely micropolar fluid with MHD in the porous medium by traveling wave solution. The governing equations PEDs for an incompressible micropolar fluid with MHD in a porous medium are reduced to ODEs through wave parameter. Finally, we represent the result in 2D or 3D graphs.

In the present, every researcher is working on the non-Newtonian fluid from both essential and sensible point of view. These fluids are immediate effects on the processing of polymer, animal blood, liquid crystal, geological flows in the earth mantle. Non-Newtonian fluids were defined by ISSA.
The general equations of Non-Newtonian fluid are highly non-linear and higher- order than the Navier-stokes equations. Therefore many analytical and numerical solutions are accessible of Non-Newtonian fluid on the topic.
Micropolar fluid model is kind of Non-Newtonian fluid which is depended upon a microstructure and belongs to the non-symmetrical stress tensor. The micropolar fluid theory was introduced by Eriggen.

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Physically, Micropolar fluid may be rigid particles, at random oriented (spherical) elements suspended in a viscous medium where the change of fluid elements is disregarded. Micropolar fluid can perform a better model for animal blood.

There are many methods for solving NLPDE (non-linear partial differential equations) such as bilinear Transformation, Homotopy perturbation method, (G’/G) expansion method, Exp-function and so but traveling wave method is useable for solving NLPDE because it gives us exact solution of NPLDE.

The study of the non-Linear physical phenomenon is an analysis of NLPDE by traveling wave solution. The importance of this method in NLPDE is applicable in the field of fluid mechanics, chemical Kinematics, Electrically, Plasma state of matter and so.