Characterization of Cross nanofluid based on infinite shear rate viscosity with inclination of magnetic dipole over a three‐dimensional bidirectional stretching sheet
Abstract:Fluid viscosity manages several engineering processes and keeps its leading role in lubrication models, biological models, polymer processes, melt solutions, colloidal suspensions, and mayonnaise. The cross viscosity model is the most appropriate model, which interprets the key features of non-Newtonian fluids in the region of shear-thinning/thickening when very high and very low shear rates are applied. This article focuses on the mathematical model of threedimensional Cross nanofluid and interprets its aspec… Show more
“…There are several numerical techniques in literature [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62] but in this study, we used Bvp4c technique [11][12][13][14][15][16][17][18][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82] which is a very useful and rapid scheme for solution nonlinear systems of ODEs. Its matlab mechanism is listed in Chart 1.…”
Section: Methodsmentioning
confidence: 99%
“…There are several numerical techniques in literature 48–62 but in this study, we used Bvp4c technique 11–18,63–82 which is a very useful and rapid scheme for solution nonlinear systems of ODEs. Its matlab mechanism is listed in Chart 1.…”
Section: Methodsmentioning
confidence: 99%
“…Different captivating parameters of Cross fluid flow based on different theories which also included interesting areas of work. A long list of investigations including papers 11–18 is very informative to understand the flow behavior well. The idea of axisymmetric‐flow of radiative‐Cross nanofluid associated with activation energy was given by Azam et al 19 .…”
Section: Introductionmentioning
confidence: 99%
“…Different captivating parameters of Cross fluid flow based on different theories which also included interesting areas of work. A long list of investigations including papers [11][12][13][14][15][16][17][18] is very informative to understand the flow behavior well. The idea of axisymmetric-flow of radiative-Cross nanofluid associated with activation energy was given by Azam et al 19 after some time, he further developed some variation in thermal properties of Cross nanofluids as well as exploration of heat sink/ source by focusing geometry by moving cylinders in Azam et al 20 Naz 21 carried out key facts of gyrotactic motile microorganisms and particulars of entropy generation along with a mathematical model of magnetohydrodynamics (MHD) Cross nanofluid.…”
The aim of this study is to examine the impact of motile gyrotactic microorganisms on threedimensional (3D) cylindrical geometry attached to a Cross-fluid flow mathematical model. The motion of the microorganisms is assumed to be governed by gyrotaxis, which is the tendency of the organisms to orient and swim perpendicular to fluid flow gradients.The study will incorporate the effects of the Cross fluid flow model with infinite shear rate viscosity, 3D cylinder geometry, and microorganism behavior on the resulting distribution and concentration of the organisms. For the inspection of the velocity profile of the Cross nanofluid, the inclined magnetic field is scrutinized. The temperature of Cross nanofluid and its concentration is also studied with several facts. Mass flux and heat flux values for motile microorganisms and nanoparticles are calculated through statistical graphs. Brownian motion parameter gives a lower concentration of nanoparticles, about 81.19% and 77.53% reduction is found in the concentration of motile microorganisms. These results will provide insights into the behavior of these microorganisms in
“…There are several numerical techniques in literature [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62] but in this study, we used Bvp4c technique [11][12][13][14][15][16][17][18][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82] which is a very useful and rapid scheme for solution nonlinear systems of ODEs. Its matlab mechanism is listed in Chart 1.…”
Section: Methodsmentioning
confidence: 99%
“…There are several numerical techniques in literature 48–62 but in this study, we used Bvp4c technique 11–18,63–82 which is a very useful and rapid scheme for solution nonlinear systems of ODEs. Its matlab mechanism is listed in Chart 1.…”
Section: Methodsmentioning
confidence: 99%
“…Different captivating parameters of Cross fluid flow based on different theories which also included interesting areas of work. A long list of investigations including papers 11–18 is very informative to understand the flow behavior well. The idea of axisymmetric‐flow of radiative‐Cross nanofluid associated with activation energy was given by Azam et al 19 .…”
Section: Introductionmentioning
confidence: 99%
“…Different captivating parameters of Cross fluid flow based on different theories which also included interesting areas of work. A long list of investigations including papers [11][12][13][14][15][16][17][18] is very informative to understand the flow behavior well. The idea of axisymmetric-flow of radiative-Cross nanofluid associated with activation energy was given by Azam et al 19 after some time, he further developed some variation in thermal properties of Cross nanofluids as well as exploration of heat sink/ source by focusing geometry by moving cylinders in Azam et al 20 Naz 21 carried out key facts of gyrotactic motile microorganisms and particulars of entropy generation along with a mathematical model of magnetohydrodynamics (MHD) Cross nanofluid.…”
The aim of this study is to examine the impact of motile gyrotactic microorganisms on threedimensional (3D) cylindrical geometry attached to a Cross-fluid flow mathematical model. The motion of the microorganisms is assumed to be governed by gyrotaxis, which is the tendency of the organisms to orient and swim perpendicular to fluid flow gradients.The study will incorporate the effects of the Cross fluid flow model with infinite shear rate viscosity, 3D cylinder geometry, and microorganism behavior on the resulting distribution and concentration of the organisms. For the inspection of the velocity profile of the Cross nanofluid, the inclined magnetic field is scrutinized. The temperature of Cross nanofluid and its concentration is also studied with several facts. Mass flux and heat flux values for motile microorganisms and nanoparticles are calculated through statistical graphs. Brownian motion parameter gives a lower concentration of nanoparticles, about 81.19% and 77.53% reduction is found in the concentration of motile microorganisms. These results will provide insights into the behavior of these microorganisms in
“…There are several numerical techniques 34‐38 for the numerical solution of partial differential equatios (PDEs) and ODEs. Purpose to solve obtained ODEs in the current attempt, the Bvp4c 39,40 Matlab scheme is utilized. Before the Bvp4c Matlab scheme, by shooting technique obtained ODEs are transformed into initial value problem from boundary value problem.…”
Solar energy is the basic source of renewable energy, and it is being used for controlling global pollution/warming. As the Cross nanofluid is very useful for cooling solar devices, in this paper analysis of the global warming effect is investigated by incorporating the nonlinear thermal radiation over the exponentially extendable surface because it plays a major role related to solar energy absorption of nanofluid. Furthermore, the mathematical modeling of Cross nanofluid involving magnetic effect and diffusion is discussed by using the fact of chemical reaction. Chemical reaction finds astonishing applications in pollution studies, chemical processing equipment, and polymer production. As a result of this study, it is noticed that more magnetized conducting fluid controls the motion of fluids for both cases of shear thinning and shear thickening. Brownian motion parameter Nb affects the rate of the random motion of nanoparticles. Increased Nb temperature also increases due to these random movements of nanoparticles. That is the reason why pollutant nanoparticles spread in air as a result of global warming increase.
In the present work, we explored the magnetohydrodynamic boundary layer flow in the presence of pressure gradient across a flat plate. The effects of the slip velocity conditions, thermal Radiation the addition of hybrid Ferroparticles (i.e., a mixture of two types of magnetic nanoparticles for example, (magnetite (Fe3O4) and cobalt ferrite (CoFe2O4)) in base fluid (H2O ) and Porous wall (suction/ injection) are also considered in this study. Basic partial differential equations are transformed into nonlinear ordinary differential equations using the appropriate similarity transformations. Then, this equation was treated numerically by using the Runge–Kutta–Fehlberg 4th–5th order method with the shooting technique and analytically via an efficient method called the Generalized Decomposition Method. The effects of various physical parameters on the velocity and temperature profiles are shown graphically. It is found that the incorporation of hybrid nanoparticles demonstrates a relatively substantial impact on the behavior of dynamic and thermal field; outperforming both non‐hybrid nanoparticles and regular fluid in terms of speed and temperature enhancement. The slip and permeability parameters significantly alter the flow structure. The positive values of the slip and permeability parameters enhance the flow velocity and reduce the temperature, leading to the desired flow behavior. Conversely, adopting negative values of these parameters reverses the effect. Furthermore, the radiation parameter enhances the temperature distribution. Additionally, the boundary layer separation tends to disappear with the increase in the magnetic parameter. The results obtained clearly show the accuracy of the proposed method and also indicate an excellent agreement between analytical and numerical data.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
