Abstract

.Our attention here in this research is on scrutinizing the nonlinear convection characteristics in a flow induced by a slendering surface. Flow expression is developed through electrically conducting Williamson nanomaterial. Nonlinear forms of stretching and free stream velocities are imposed. Consideration of nonlinear thermal radiation, non-uniform heat generation/absorption, Joule and convective heating aspects describe the phenomenon of heat transfer. The zero-mass condition for concentration is also considered. The compatible transformations produce strong nonlinear differential systems. The problems are computed analytically utilizing the bvp4c procedure. Heat transfer rate and drag force are also explained for various physical variables. Our analysis reveals that the heat transfer rate augments via larger radiation parameter and Biot number. Moreover, larger Brownian motion and thermophoresis parameters have opposite characteristics on concentration field. For the verification of the present findings, the results of the presented analysis have been compared with the available works in particular situations and reasonable agreement is noted.

Highlights

  • The flow investigation in the region of boundary layer via a stretchable sheet is a fascinating research field because of its significance in several utilizations in engineering systems and industries, like wire drawing, glass fiber production, hot rolling, metal spinning, contraction process of metallic plates and aerodynamic extrusion of plastic sheets

  • We explored the interaction of convective heating in a hydromagnetic Williamson nanoliquid induced due to a slendering surface

  • The nonlinear thermal radiation, heat generation/absorption and Joule heating are considered in the heat transport expression

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Summary

Introduction

The flow investigation in the region of boundary layer via a stretchable sheet is a fascinating research field because of its significance in several utilizations in engineering systems and industries, like wire drawing, glass fiber production, hot rolling, metal spinning, contraction process of metallic plates and aerodynamic extrusion of plastic sheets. In view of such applications, Sakiadis [1] initially modeled the problem of boundary layer approximations by stretchable surfaces. The significance of arising non-dimensional variables is discussed through graphs and tables

Mathematical formulation
Testing the numerical scheme
Analysis
13. It is found that increasing values of
Conclusions

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