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Journal ArticleDOI

Radiative Newtonian Carreau nanofluid through stretching cylinder considering the first-order chemical reaction

25 May 2021-International journal of ambient energy (Informa UK Limited)-pp 1-9
TL;DR: In this article, a mathematical model of MHD radiative Carreau nanofluid is investigated for laminar, steady and incompressible flow, and the power law under the influence of heat generation/absorption and radiation is investigated.
Abstract: A mathematical model of MHD radiative Carreau nanofluid is investigated for laminar, steady and incompressible flow. The power law under the influence of heat generation/absorption and radiation is...
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TL;DR: In this paper , an alternative model was developed to avoid the single-phase model limitations considering the influence of Brownian motion and thermophoresis parameter for the nonhomogeneous nanofluid on permeable cylinders.
Abstract: Investigation of nanofluid properties around a cylinder is carried out for laminar steady-state axisymmetric flow. This study focuses on the porous medium with the existence of laminar and incompressible Newtonian nanofluid in two dimensions and develops an alternative model to avoid the single-phase model limitations considering the influence of Brownian motion and thermophoresis parameter for the nonhomogeneous nanofluid on permeable cylinders. Employing group method and similarity transformation, the governing mathematical model was transformed into a simpler system of ordinary differential equations. The system of equations is numerically computed. The numerical investigation included different governing parameters namely: Prandtl number Pr, thermophoresis parameter Nt, Brownian motion parameter Nb, Reynolds number Re, and Schmidt number, Sc. Studying these parameters helps to obtain the characteristic of the flow and heat transfer. The numerical examination is illustrated in graphs to examine their effect on different fluid characteristics. Increasing Pr hurdles the nanofluid velocity, temperature, and nanoparticles concentration, while it increases the pressure due to the viscosity increment. Moreover, increasing Nt activates the thermal energy of the nanofluid which in turn increases velocity, temperature distribution, and nanoparticles concentration. A comparison between the obtained results and the previously published results indicated an excellent agreement.

3 citations

Journal ArticleDOI
TL;DR: In this paper , the impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning (n < 1) and shear thickening (n > 1) instances.
Abstract: This study focused on the analysis of two-dimensional incompressible magnetohydrodynamic Carreau nanofluid flow across a stretching cylinder containing microorganisms with the impacts of chemical reactions and multiple slip boundary conditions. Moreover, the main objective is concerned with the enhancement of thermal transportation with the effect of heat source and bioconvection. By assigning pertinent similarity transitions to the governing partial differential equations, a series of equations (ODES) is generated. An optimum computational solver, namely the bvp5c software package, is utilized for numerical estimations. The impact of distinct parameters on thermal expansion, thermophoresis, and the Nusselt number has been emphasized, employing tables, diagrams, and surface maps for both shear thinning (n < 1) and shear thickening (n > 1) instances. Motile concentration profiles decrease with Lb and the motile microorganism density slip parameter. It is observed that with increasing values of Pr, both the boundary layer thickness and temperature declined in both cases. The Weissenberg number demonstrates a different nature depending on the type of fluid; skin friction, the velocity profile and Nusselt number drop when n < 1 and increase when n > 1. The two- and three-dimensional graphs show the simultaneous effect of involving parameters with physical quantities. The accuracy of the existing observations is evidenced by the impressive resemblance between the contemporary and preceding remedies.

2 citations

Journal ArticleDOI
TL;DR: In this paper , the importance of nanofluid parameters, such as Brownian and thermophoresis diffusion, is argued on Carreau nano-fluid motion for shear-thinning and thickening behavior.
Abstract: The objective of this work is to scrutinize the entropy production and its effects on Carreau nanofluid flow over a horizontally stretching cylinder. The significant influence of magnetic field, non-linear thermal radiation and Joule heating have been studied to control the heat transfer rate. The importance of nanofluid parameters, Brownian and thermophoresis diffusion, is argued on Carreau nanofluid motion for shear-thinning and thickening behavior. Utilizing convenient transformations, the fundamental equations, devised to a nonlinear system of ordinary differential equations (ODEs), are resolved numerically by Matlab technique bvp4c. The influence of relevant parameters on velocity, Bejan number, temperature, entropy and concentration profiles are examined by virtue of graphs. Furthermore, we determine the repercussion of indistinguishable parameters over skin friction and Sherwood number via tables. From the acquired results, we perceive that entropy generation augments with enhancing magnetic field parameter, Brinkman number, curvature parameter, Eckert number, and power law index while it declines for the Brownian diffusion parameter. Also, skin friction reduces for the magnetic field and curvature parameter whereas it rises for Weissenberg number. Moreover, Sherwood number escalates for the Schmidt number and curvature parameter.
References
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Journal ArticleDOI
TL;DR: In this article, the authors analyzed the flow, heat and mass transfer characteristics of gyrotactic microorganisms contained magneto hydrodynamic Casson fluid flow towards a vertical rotating cone/plate in porous medium.

149 citations

Journal ArticleDOI
TL;DR: In this article, the boundary layer flow and heat transfer to a Carreau model over a nonlinear stretching surface is discussed and the numerical solution of the resulting equations are obtained by using the Runge-Kutta Fehlberg method along with shooting technique.
Abstract: This article studies the Carreau viscosity model (which is a generalized Newtonian model) and then use it to obtain a formulation for the boundary layer equations of the Carreau fluid. The boundary layer flow and heat transfer to a Carreau model over a nonlinear stretching surface is discussed. The Carreau model, adequate for many non-Newtonian fluids, is used to characterize the behavior of the fluids having shear thinning properties and fluids with shear thickening properties for numerical values of the power law exponent n. The modeled boundary layer conservation equations are converted to non-linear coupled ordinary differential equations by a suitable transformation. Numerical solution of the resulting equations are obtained by using the Runge-Kutta Fehlberg method along with shooting technique. This analysis reveals many important physical aspects of flow and heat transfer. Computations are performed for different values of the stretching parameter (m), the Weissenberg number (We) and the Prandtl number (Pr). The obtained results show that for shear thinning fluid the fluid velocity is depressed by the Weissenberg number while opposite behavior for the shear thickening fluid is observed. A comparison with previously published data in limiting cases is performed and they are in excellent agreement.

117 citations

Journal ArticleDOI
TL;DR: In this paper, the effects of nonlinear thermal radiation and non-uniform heat source/sink in unsteady three-dimensional flow of Carreau and Casson fluids past a stretching surface in the presence of homogeneous-heterogeneous reactions are investigated.
Abstract: In this study, we investigated the effects of nonlinear thermal radiation and non-uniform heat source/sink in unsteady three-dimensional flow of Carreau and Casson fluids past a stretching surface in the presence of homogeneous–heterogeneous reactions. The transformed governing equations are solved numerically using Runge–Kutta based shooting technique. We obtained good accuracy of the present results by comparing with the already published literature. The influence of dimensionless governing parameters on velocity, temperature and concentration profiles along with the friction factors, local Nusselt and Sherwood numbers is discussed and presented graphically. We presented dual solutions for flow, heat and mass transfer in Carreau and Casson fluids. It is found that the heat and mass transfer rate in Casson fluid is significantly high while compared with the Carreau fluid.

106 citations

Journal ArticleDOI
TL;DR: In this article, a two-dimensional stagnation point flow of an in-compressible Carreau fluid toward a shrinking surface is studied. And the formulation of the Carreau model has been developed first time for boundary layer problem of shrinking sheet and the governing partial differential equations are rehabilitated into ordinary differential equations using similarity transformations.

105 citations

Journal ArticleDOI
TL;DR: Two-dimensional boundary layer flow of Carreau fluid past a permeable stretching sheet is studied and heat transfer subject to convective boundary conditions is analyzed.

84 citations