Abstract

A non-similar solution of the generalized Newtonian liquid flow over a vertical non-rigid surface is presented to explore the significance of nonlinear radiation, Newtonian heating, magnetic and gravitational fields. The non-similar dynamical nature with rapid change in size and position is studied by incorporating the ordinate and stream-wise coordinates. The newly formulated mathematical results are presented in the form of partial differential equations (PDEs) which are converted to ordinary differential equations (ODEs) by utilizing the non-similar variables. The governing ODEs are then approximated by one of the collocation methods to explore the characteristic of different physical parameters while using MATLAB. The significant increasing behavior of the velocity profile is determined by the variation in Wessenberg number, bouncy ratio parameter, and suction parameters. On the other hand, the temperature profile is enhanced by uplifting the radiation, Newtonian heating, and heat generation parameters, respectively. The rate of heat transfer and resistive forces are escalating functions of stream-wise coordinate. All the new analysis and applied method are verified by giving a comparison with previous work.

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