Abstract
This study focuses on the industrial and engineering interest quantities, such as drag force and rate of transmission of heat, for pseudo-plastic nanofluid flow. The attributes of natural convection of the pseudo-plastic nanofluid flow model over a vertical slender cylinder are explored. The pseudo-plastic flow is studied under the influence of concentration of nanoparticles, rate of heat transmission, and drag force. For the first time, the pseudo-plastic nanofluid flow model has been implemented over a vertical slender cylinder which is not yet investigated. The acquired model is based on thermophoresis and Brownian motion mechanisms. The governing equations of pseudo-plastic nanofluid in cylindrical coordinates are modelled. The developed system of nonlinear equations is tackled by boundary layer assumptions and similarity transformations. Moreover, the solution of the acquired system exhibited by using a new powerful numerical technique. A comprehensive debate on drag force and transmission of heat under the influence of various emerging parameters is illustrated in the table. Furthermore, the effects of dimensionless parameters over the velocity profile, temperature profile, and concentration of nanoparticle profile have been exhibited graphically.
Highlights
Investigation of the non-Newtonian fluids gains prodigious attention of researchers over a half-century because naturally, most of the fluids used in the industrial applications are non-Newtonian fluids. is is the main cause of increased applications of non-Newtonian fluids in the industrial field and engineering such as petroleum production, molten plastics, food engineering, automobiles, polymer solution industry, chemical engineering, and power engineering
A solitary established equations cannot pronounce the attributes of such non-Newtonian fluids because these kinds of fluids have a nonlinear relationship among the rate of stress and strain. erefore, several scientists and engineers have pronounced models for non-Newtonian fluids [1,2,3,4,5,6,7,8,9,10]
Numerical solution is obtained by using MATLAB scheme bvp4c
Summary
Investigation of the non-Newtonian fluids gains prodigious attention of researchers over a half-century because naturally, most of the fluids used in the industrial applications are non-Newtonian fluids. is is the main cause of increased applications of non-Newtonian fluids in the industrial field and engineering such as petroleum production, molten plastics, food engineering, automobiles, polymer solution industry, chemical engineering, and power engineering. Williamson [29] who discovered the model to communicate pseudo-plastic attributes along with features of extreme points of viscosity Due to this invention, innovated researchers are motivated to discover more upfront classifications of non-Newtonian fluid. Nadeem et al [34] analyzed the boundary layer flow and transmission of heat of a nanofluid in a vertical slender cylinder. Patil et al [35] examined the mixed convection nanofluid boundary layer flow under the effect of surface roughness with a moving slender cylinder. With the help of Bejan’s heat function concept, Reddy et al [37] investigated the unsteady MHD micropolar fluid flow in a homogeneously thermal radiative hollow slender cylinder with the radiative transmission of heat effect. E attributes of natural convection of Williamson’s nanofluid model over a vertical slender cylinder are not explored until now. Physical behaviour for the industrial interests of the fluid will be examined through the table
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