# Computational and physical aspects of MHD Prandtl-Eyring fluid flow analysis over a stretching sheet

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## Abstract

This paper explores the physical and computational aspects of normally applied magnetic field on non-Newtonian Prandtl-Eyring fluid flow over a stretching sheet. The Prandtl-Eyring fluid is a non-Newtonian viscoinelastic fluid model capable of describing zero shear rate viscosity effects. Stretching of a sheet induces the flow (Couette flow). The mathematical formulation of the problem gives a highly non-linear system of partial differential equations. By means of a scaling group of transformations, the partial differential equations are transfigured into ordinary differential equation. The implicit finite difference scheme Keller-Box is implemented to solve the resulting equation. The expression for dimensionless velocity is calculated numerically and inclusive pictures of its physical characteristics are analyzed very concisely and briefly. The influence of different pertinent parameters is displayed via graphs, which are plotted against variation in parameters. Computation of the skin friction coefficient is accomplished, and effects of influential parameters are analyzed via graphs and tables. The accuracy of the present solution is certified by displaying contrast between present and existing literature. It is important to remark that the results have shown excellent agreement up to significant number of digits.

## Keywords

MHD Prandtl-Eyring fluid Stretching sheet Keller-Box method## Notes

### Compliance with ethical standards

### Conflict of interest

The authors declare that they have no conflict of interest.

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