Abstract

Thermodynamical attributes of non-Newtonian fluids over stretched surfaces have gained pervasive essence due to extensive utilization in extruding plastic sheet procedures, liquid film condensation, glass blowing, paper production, biopolymer cylinder coatings, and so forth. So, currently communication is aimed to candidly explicate flow characteristic of Prandtl fluid generated by axial stretching of cylindrical surface. Mathematical modelling by using conservation laws of momentum, energy and concentration fields containing the aspects of magnetic field, convective heating, and chemical reaction are presented initially in the form of partial differential expressions. Later on, these attained PDEs are transmuted into nonlinear ordinary differential equations with implementation of similarity variables. Numerical approach renowned as shooting technique with improved coefficient of the Runge–Kutta (R–K) method by Cash and Karp is used to access accurate solution. Linear curved fitting analysis is also performed to analyze results. Influence of flow-controlling parameters on associated profiles is revealed through graphical visualization. Stream line plots representing flow behavior of Prandtl fluid versus different magnitudes of the curvature parameter are adorned. Variation in friction drag force at wall, heat flux, and concentration gradient are evaluated through numerical data and with interpolation of linear curved fittings. It is deduced from results that increasing curvature parameter momentum and temperature distributions enriches whereas skin-friction coefficient depicts reverse pattern. It is also inferred that temperature shows incrementing deviation in the absence of chemical reaction whereas concentration profiles exhibit reduction with consideration of influence of chemical reaction parameter. Magnetic field tends to reduce the velocity and create thinness of boundary layer thickness.

Highlights

  • Analysis of non-Newtonian fluids has attained superb attention of researchers due to numerous scientific implementations in multiple fields such as food mixing, multigrade oils, composition of materials, wire drawing, hot rolling, petroleum productions, metallurgical procedures, manufacturing of materials, preventive coating, lubricating products, polymerization processes, ink-jet printers, geophysical flows, liquid crystallizations, and several others

  • Non-Newtonian fluid models are categorized into time-dependent, time-independent, viscoelastic, and viscoinelastic fluids

  • A lot of fluid models are presented to elaborate characteristics of viscoinelastic fluids, but it is found that Prandtl fluid is the most fittest to explicate features of viscoinelastic fluids

Read more

Summary

Introduction

Analysis of non-Newtonian fluids has attained superb attention of researchers due to numerous scientific implementations in multiple fields such as food mixing, multigrade oils, composition of materials, wire drawing, hot rolling, petroleum productions, metallurgical procedures, manufacturing of materials, preventive coating, lubricating products, polymerization processes, ink-jet printers, geophysical flows, liquid crystallizations, and several others. Hossainy and Eid [12] analyzed hydrothermal efficiency of non-Newtonian hybrid nanofluid in a heat-exchange channel by generation of chemical reactions in domain. Eid and Makinde [13] studied collaborative aspects of radiative heat energy and chemical reaction on electrically conducting nanofluid flow over a stretching sheet immersed in a permeable medium. E effects of slip velocity and chemical reaction generated in stagnant flow of nanofluid over a stretching sheet embedded in a porous medium were studied by Eid [14]. Current effort is made to fill this gap In this regards, mathematical modelling of the non-Newtonian fluid rheological model with heat transfer aspects is attained in the form of partial differential equations by applying boundary layer approach.

Mathematical Formulation
Computational Algorithm
Graphs and Tables
A1: First Rivlin–Ericksen tensor υ
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.