Modified kinematic viscosity model for 3D-Casson fluid flow within boundary layer formed on a surface at absolute zero

Sandeep, N.; Kọrikọ, Olubode Kolade; Animasaun, Isaac Lare

doi:10.1016/j.molliq.2016.06.049

Cited by 74 publications

(27 citation statements)

References 27 publications

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“…In the above expressions, u and υ denote the velocity components in x − and y − directions, respectively, μ B is the plastic dynamic viscosity, ρ f is the fluid density, σ is the electrically conductivity, β is the Casson fluid parameter which has inverse relation with yield stress, i.e., [41], φ is the porosity, k 1 ( x ) = k 0 x 1 − n is the variable permeability of porous medium, g is the gravitational force due to acceleration, ρ p is the density of nanoparticle, β T is the volumetric coefficient of thermal expansion, β C is the coefficient of concentration expansion, T is the fluid temperature, C is the nanoparticle concentration, is the thermal diffusivity of the Casson fluid, k is the thermal conductivity of the fluid, D B is the Brownian diffusion coefficient, D T is the thermophoretic diffusion coefficient, is the ratio of heat capacities in which ( ρc ) f is the heat capacity of the fluid and ( ρc ) p is the effective heat capacity of nanoparticle material, c p is the specific heat at constant pressure, q r is the radiative heat flux and is the variable rate of chemical reaction, k 2 is a constant reaction rate, and a is the reference length along the flow.…”

Section: Methodsmentioning

confidence: 99%

MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet Through Porous Medium with Chemical Reaction and Thermal Radiation

2016

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In the present work, the effects of chemical reaction on hydromagnetic natural convection flow of Casson nanofluid induced due to nonlinearly stretching sheet immersed in a porous medium under the influence of thermal radiation and convective boundary condition are performed numerically. Moreover, the effects of velocity slip at stretching sheet wall are also examined in this study. The highly nonlinear-coupled governing equations are converted to nonlinear ordinary differential equations via similarity transformations. The transformed governing equations are then solved numerically using the Keller box method and graphical results for velocity, temperature, and nanoparticle concentration as well as wall shear stress, heat, and mass transfer rate are achieved through MATLAB software. Numerical results for the wall shear stress and heat transfer rate are presented in tabular form and compared with previously published work. Comparison reveals that the results are in good agreement. Findings of this work demonstrate that Casson fluids are better to control the temperature and nanoparticle concentration as compared to Newtonian fluid when the sheet is stretched in a nonlinear way. Also, the presence of suspended nanoparticles effectively promotes the heat transfer mechanism in the base fluid.

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Section: Methodsmentioning

confidence: 99%

MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet Through Porous Medium with Chemical Reaction and Thermal Radiation

2016

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“…Rehman et al 30 reported mixed convective MHD boundary layer current of Casson fluid transported by cylindrical elongating surface in thermal stratification phenomena. Sandeep et al 31 investigated the improved kinematic viscidness exemplary for 3D Casson fluid flow toward a stagnation point in the presence of cross diffusion using the RK method along with shooting technique. Ramana Reddy et al 32 adopted the RK integration scheme for liquid stream above a heated superior surface under the convective boundary condition.…”

Section: Introductionmentioning

confidence: 99%

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Thumma¹,

2020

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It is worth remarking that little is known about generalized differential quadrature analysis of three‐dimensional flow of non‐Newtonian Casson fluid in the presence of Lorentz force, thermal radiation, haphazard motion of tiny particles, thermomigration of these tiny particles due to temperature gradient, heat source, significant conversion of kinetic energy into internal energy, first‐order chemical reaction, convectively heated horizontal wall, and zero nanoparticles mass flux at the stretching surface. The revised form of Buongiorno's nanofluid model accounted for significant influences of Brownian motion and thermophoresis. The similarity solution was complemented with a powerful collocation procedure based on the generalized differential quadrature method and Newton–Raphson iterative scheme to achieve accuracy and convergent outcomes. The numerical effects disclose that the Casson nanofluid parameter slows down the axial velocities in both directions. Also, the unsteadiness parameter tends to decline generally the temperature throughout the medium and decrease particularly the concentration profile away from the stretching surface. These examinations are applicable in the field of biomechanics, polymer processing, and for characterizing the cement slurries.

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“…Other researchers went on to present their view on the interesting topic by adapting nanofluid into the generic three dimensional fluid model with radiation effect. [36][37][38][39][40][41][42][43][44][45][46][47][48] Makinde & Animasaun 49 investigated the effect of cross diffusion on MHD bioconvection flow over a horizontal surface. In another study, Makinde & Animasaun 50 presented the MHD nanofluid on bioconvection flow of a paraboloid revolution with nonlinear thermal radiation and chemical reaction while Sandeep, 51 Reddy et al 52 and Ali et al 53 studied the heat transfer behaviour of MHD flows.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of flow and heat transfer of dissipative Casson-Carreau nanofluid over a stretching sheet embedded in a porous medium

Sobamowo¹,

Yinusa²,

Oluwo³

et al. 2018

AAOAJ

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In this paper, combined influences of thermal radiation, inclined magnetic field and temperature-dependent internal heat generation on unsteady two-dimensional flow and heat transfer analysis of dissipative Casson-Carreau nanofluid over a stretching sheet embedded in a porous medium is investigated. Similarity transformations are used to reduce the developed systems of governing partial differential equations to nonlinear third and second orders ordinary differential equations which are solved using finite element method. In the study, kerosene is used as the base fluid which is embedded with the silver (Ag) and copper (Cu) nanoparticles. Also, effects of other pertinent parameters on the flow and heat transfer characteristics of the Casson-Carreau nanofluids are investigated and discussed. From the results, it is established temperature field and the thermal boundary layers of Ag-Kerosene nanofluid are highly effective when compared with the Cu-Kerosene nanofluid. Heat transfer rate is enhanced by increasing in power-law index and unsteadiness parameter. Skin friction coefficient and local Nusselt number can be reduced by magnetic field parameter and they can be enhanced by increasing the aligned angle. Friction factor is depreciated and the rate of heat transfer increases by increasing the Weissenberg number. A very good agreement is established between the results of the present study and the previous results. The results of present analysis can help in expanding the understanding of the thermo-fluidic behaviour of the Casson-Carreau nanofluid over a stretching sheet as applied in manufacturing industries and production engineering.

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Modified kinematic viscosity model for 3D-Casson fluid flow within boundary layer formed on a surface at absolute zero

Cited by 74 publications

References 27 publications

MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet Through Porous Medium with Chemical Reaction and Thermal Radiation

MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet Through Porous Medium with Chemical Reaction and Thermal Radiation

Generalized differential quadrature analysis of unsteady three‐dimensional MHD radiating dissipative Casson fluid conveying tiny particles

Finite element analysis of flow and heat transfer of dissipative Casson-Carreau nanofluid over a stretching sheet embedded in a porous medium

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