Influence of nonlinear thermal radiation on rotating flow of Casson nanofluid

Archana, M.; Gireesha, B.J.; Prasannakumara, B. C.; Gorla, Rama Subba Reddy

doi:10.1515/nleng-2017-0041

Cited by 38 publications

(15 citation statements)

References 29 publications

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“…. , C m )) is given from Equation (15). The convergence of Equation (18) depends on the auxiliary constant C i , i = 1, 2, 3, .…”

Section: Analysis Of Ohammentioning

confidence: 99%

“…The numerical results of Casson nanofluid flow in presence of joule heating and slip effect was investigated by Kamran et al [14]. Additionally, the effect of radiation on energy expression over Casson nanofluid flow was examined by Archana et al [15]. Gireesha et al [16] investigated the Casson nanofluid flow and studied the impact of chemical reaction and radiation.…”

Section: Introductionmentioning

confidence: 99%

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Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Rehman

Salleh

2021

Fluids

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This paper analyses the two-dimensional unsteady and incompressible flow of a non-Newtonian hybrid nanofluid over a stretching surface. The nanofluid formulated in the present study is TiO2 + Ag + blood, and TiO2 + blood, where in this combination TiO2 + blood is the base fluid and TiO2 + Ag + blood represents the hybrid nanofluid. The aim of the present research work is to improve the heat transfer ratio because the heat transfer ratio of the hybrid nanofluid is higher than that of the base fluid. The novelty of the recent work is the approximate analytical analysis of the magnetohydrodynamics mixed non-Newtonian hybrid nanofluid over a stretching surface. This type of combination, where TiO2+blood is the base fluid and TiO2 + Ag + blood is the hybrid nanofluid, is studied for the first time in the literature. The fundamental partial differential equations are transformed to a set of nonlinear ordinary differential equations with the guide of some appropriate similarity transformations. The analytical approximate method, namely the optimal homotopy analysis method (OHAM), is used for the approximate analytical solution. The convergence of the OHAM for particular problems is also discussed. The impact of the magnetic parameter, dynamic viscosity parameter, stretching surface parameter and Prandtl number is interpreted through graphs. The skin friction coefficient and Nusselt number are explained in table form. The present work is found to be in very good agreement with those published earlier.

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“…. , C m )) is given from Equation (15). The convergence of Equation (18) depends on the auxiliary constant C i , i = 1, 2, 3, .…”

Section: Analysis Of Ohammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Rehman

Salleh

2021

Fluids

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“…Three-dimensional (3D) transport of Casson nanoliquid is reported by Sulochana et al [7]. Archana et al [8] scrutinized the nonlinear radiative heated Casson nanofluid flow. Mustafa et al [9] modeled the magneto Casson nanoparticles fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Interaction of single and multi walls carbon nanotubes in magnetized-nano Casson fluid over radiated horizontal needle

et al. 2020

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The consequences of thermally radiative magneto-nano Casson fluid towards thin needle is executed in this investigation. The problem has been modeled mathematically under the Navier slip effect. The Prandtl boundary-layer expressions are framed and treated numerically after the application of similarity variables. Employing shooting method together with Runge-Kutta (R-K) method, the dimensionless equations are solved. The influence of various pertinent controlled dimensionless variables on momentum and temperature along with quantities related to engineering values specifically shear stress and rate of energy transfer are scrutinized through graphical plots. Multi-wall carbon nanotubes (MWCNTs) act as friction reducing factor. Needle surface transfers heat more from the fluid compared to parabolic revolution. Multi-wall carbon nanotubes transfers more heat from the fluid rather than the single-wall carbon nanotubes (SWCNTs). The heat transfer is more in parabolic surface compared to cylindrical surface and SWCNTs have superior values than MWCNTs. Numerical solutions are matched with the published material and perceived to be in a good agreement. Keywords Casson nanofluid • Magnetohydrodynamics • Rheological fluid • Thermal radiation • Thin needle List of symbols e ij (i, j) Component of the deformation rate f Thermophysical properties of the water f(η) Dimensionless velocity k f Thermal conductivity k* Coefficient of mean absorption L Characteristic length nf Thermophysical properties of the nanofluid Pr Prandtl number P y Yield stress of the liquid q 0 Characteristic heat flux q w Wall heat flux R Radiation parameter Re Reynolds number u Components of velocity parallel to x direction (m/s) u w Stretching velocity (m/s) U 0 Characteristic velocity (m/s) v Radial velocity (m/s) T Local temperature of the nanofluid (K) T Dimensionless temperature T ∞ Ambient temperature Greek symbols nf Thermal diffusivity of the nanofluid (m 2 s −1) Casson parameter σ* Constant of Stefan-Boltzmann Product of the component of deformation rate with itself c Critical value of this product based on the non-Newtonian model nf Density of the nanofluid (kg/m 3) nf Dynamic viscosity of the nanofluid (PA s) μ B Plastic dynamic viscosity of the non-Newtonian fluid (PA s)

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“…These forces are ctitious since they are not generated from interaction with any external body but are responsible to keep the motion rotational. Coriolis force is the ctitious force responsible for the de ection of the trajectory of a moving object in a rotating frame; Deng et al [2] and Archana et al [3]. The Coriolis e ect is responsible for many natural occurrences such as the direction of the cyclones, organization of the magnetic columns and electric properties of the Earth, hydromagnetic ow of the earth's liquid contents etc.…”

Section: Introductionmentioning

confidence: 99%

Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force

Oke

Mutuku

Kimathi

et al. 2020

Nonlinear Engineering

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Casson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived and incorporated into the Navier-Stokes equations to obtain appropriate equations for the flow of Newtonian Casson fluid under the action of Coriolis force. The governing equations are non-dimensionalized using Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using the Runge-Kutta-Gills method with the Shooting technique, and the results depicted graphically. An increase in Coriolis force and non-Newtonian parameter decreases the velocity profile in the x-direction, causes a dual effect on the shear stress, increases the temperature profiles, and increases the velocity profile in the z-direction.

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Influence of nonlinear thermal radiation on rotating flow of Casson nanofluid

Cited by 38 publications

References 29 publications

Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Interaction of single and multi walls carbon nanotubes in magnetized-nano Casson fluid over radiated horizontal needle

Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force

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