This examination manages the impact of magnetic field on the flow and heat transport of an incompressible Carreau liquid over an extending sheet with particle fluid suspension. The significant conditions are first improved under regular boundary layer suppositions, and afterward changed into conventional differential conditions by reasonable transformations. The changed conventional nonlinear differential conditions which are explained numerically by Matlab bvp4c package. The impacts of specific parameters on the dimensionless velocity and temperature are exhibited in graphical structures.