Abstract

Abstract This study reports the thermal analysis and species transport to manifest non-Newtonian materials flowing over linear stretch sheets. The heat transfer phenomenon is presented by the Cattaneo–Christov definition of heat flux. Mass transportation is modeled using traditional Fick’s second law. In addition, the contribution of Joule heating and radiation to thermal transmission is also considered. Thermo-diffusion and diffusion-thermo are significant contributions involved in thermal transmission and species. The physical depiction of the scenario under consideration is modeled through the boundary layer approach. Similar analysis has been made to convert the PDE model system into the respective ODE. Then, the transformed physical expressions are calculated for momentum, thermal, and species transport within the boundary layer. The reported study is a novel contribution due to the combined comportment of thermal relaxation time, radiation, Joule heating, and thermo-diffusion, which are not yet explored. Several engineering systems are based on their applications and utilization.

Highlights

  • The study of the boundary layer flow over a stretch sheet has recently received a great deal of attention because of its important applications and great potential for use as a technological tool in many engineering applications such as paper production, polymer sheet, insulation materials, food processing, wire coating, and fiber

  • The reverse bearing of the magnetic parameter and the Prandtl number is noticed for the thermal transportation mechanism

  • Temperature profile increases with the increment of the radiation parameter and demolishes with the increment of the Prandtl number

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Summary

Introduction

The study of the boundary layer flow over a stretch sheet has recently received a great deal of attention because of its important applications and great potential for use as a technological tool in many engineering applications such as paper production, polymer sheet, insulation materials, food processing, wire coating, and fiber. The Carreau fluid flow by heat transport using a general model for heat flux over a stretch sheet was studied by Rashid et al [15]. They demonstrated that the value of the magnetic parameter installation reduced the flow and booted the thermal distribution. Megahed [18] studied the thermal transport in the Sisko fluid by considering heat generation past over a nonlinear stretching sheet. Where Me and Sr are Dufour and Soret Numbers, respectively, and are defined by Hayat et al [3]

Physical quantities of interest
Optimal homotopy analysis method
Results and discussion
Parametric analysis and physical justification
Concluding remarks
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