Unsteady mixed convection flow of Casson fluid past an inclined stretching sheet in the presence of nanoparticles

The main aim of the current paper is to investigate the mass and heat transportation of a Casson nanomaterial generated by the inclination of the surface. The magnetic field effect along with suction or injection are considered. The working nanomaterial is taken into consideration based on the concept of the Buongiorno nanofluid theory, which explores the thermal efficiencies of liquid flows under movement of Brownian and thermophoretic phenomena. The emergent system of differential expressions is converted to dimensionless form with the help of the appropriate transformations.This system is numerically executed by the implementation of Keller-Box and Newton's schemes. A good agreement of results can be found with the previous data in a limiting approach. The behavior of the physical quantities under concern, including energy exchange, Sherwood number, and wall shear stress are portrayed through graphs and in tabular form. The Nusselt number and Sherwood number are found to diminish against the altered magnitudes of Brownian motion and the inclination parameter. Moreover, the velocity profile decreases with the growth of the inclination effect. In the same vein, the buoyancy force and solutal buoyancy effects show a direct relation with the velocity field. The outcomes have promising technological uses in liquidbased systems related to stretchable constituents. K E Y W O R D S Casson nanofluid, inclined surface, Keller-Box method, MHD ′ ′ ′ ′ J J J J J j j j j

show abstract

“…The flow equations for this study are given by:

\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} = 0,

u \frac{\partial u}{\partial x} + v \frac{\partial v}{\partial y} = true(1 + \frac{1}{β} true) ν \frac{\partial^{2} u}{\partial y^{2}} + g [β_{t} (T - T_{\infty}) + β_{c} (C - C_{\infty})] \cos α - true(\frac{σ B_{0}^{2} (x)}{ρ} + \frac{μ}{ρ k} true) u,

u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y} = α^{*} \frac{\partial^{2} T}{\partial y^{2}} + τ ([], D_{B} \frac{\partial C}{\partial y} \frac{\partial T}{\partial y} + \frac{D_{T}}{T_{\infty}} {(\frac{\partial T}{\partial y})}^{2}),

u \frac{\partial C}{\partial x} + v \frac{\partial C}{\partial y} = D_{B} \frac{\partial^{2} C}{\partial y^{2}} + \frac{D_{T}}{T_{\infty}} \frac{\partial^{2} T}{\partial y^{2}},

…”

Section: Modelingmentioning

confidence: 99%

“…They found that energy transportation shows a direct relation with the radiation effect. Rawi et al discussed the flow of a Casson liquid toward a slanted sheet and observed that the Casson impact creates reduction in the velocity field. Shehzad et al explored the Casson fluid above a porous sheet and found a sequence of results.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of hydrodynamic flow of a Casson nanomaterial past an inclined sheet under porous medium

Anwar

Rafique

Misiran

et al. 2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…The most familiar Casson fluid are namely as jelly, honey, tomato sauce, concentrated fruit juice and chocolate [3]. As a result, a plenty of numerical fluid model has been developed with casson fluid [1][2][3][4][5][6][7][8][9][10][11][12][13][14], which can be used as a reference by researchers from the same area, but with different method (for example, experimental approach). On the other hand, the usual implementation of fluid flow over stretching/shrinking surface (extending/compressing surface) are as follow: polymer transforming industries, controlling environmental pollution and biological process.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, the usual implementation of fluid flow over stretching/shrinking surface (extending/compressing surface) are as follow: polymer transforming industries, controlling environmental pollution and biological process. Thus, the effect of extending/compressing sheet on casson fluid flow have been explored by many researchers as it is widely using in the sector of science and engineering [2][3][4][5][6][7][8][9][10][11][12][13][14]. Mixed convection, which is defined as the combination of forced and natural convection exists when both of these convection mechanisms act together to transfer heat.…”

Section: Introductionmentioning

confidence: 99%

Dual Numerical Solutions on Mixed Convection Casson Fluid Flow Due to the Effect of the Rate of Extending and Compressing Sheet – Stability Analysis

Parvin¹,

Isa²,

Arifin³

et al. 2020

CFDL

View full text Add to dashboard Cite

Numerical model of mixed convection boundary layer flow, heat and mass transfer beyond an extending or compressing sheet are developed by Mathematicians in the field of Applied Mathematics Fluid Dynamics. Most of the numerical results can be used as a comparison with the results by experimental works. In the numerical model of mixed convection with extending and compressing sheet, there is high possibility to achieve dual solutions. One of the solutions is stable, reliable and really occur in actual fluid mechanism. Meanwhile, another solution is unstable, unreliable and rejected. According to this statement, the dual numerical solutions of mixed convection Casson fluid flow, which is subjected to the rate of extending and compressing sheet is reported in this paper. The extending rate is denoted as positive values, otherwise it is declared as compression of the sheet. The usage of similarity variables is to perform the conversion from partial differential equations (PDE) to ordinary differential equations (ODE). The PDE are formed from the equations of momentum, energy and concentration. Finally, ODE are solved numerically by bvp4c program in Matlab software. Stability analysis is performed to deal with dual numerical solutions, which select the most stable solution and physically reliable. The numerical results of velocity, temperature and concentration are presented, subjected to the governed parameters in the modelled problem. As a conclusion, the variations of velocity, temperature and concentration against boundary layer thickness are fully affected by compressing and extending parameters.

show abstract

“…In [36] studied the Casson fluid flow on a vertical sheet by incorporating the angle effect. Rawi et al [37] discussed the Casson fluid flow over a slanted sheet by considering nanoparticles. Rauju et al [38] discussed the Casson fluid flow on a vertically slanted sheet.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method

et al. 2019

View full text Add to dashboard Cite

In this article, the effects of a Casson Nanofluid boundary layer flow, over an inclined extending surface with Soret and Dufour, is scrutinized. The model used in this study is based on the Buongiorno model of the thermal efficiencies of the fluid flows in the presence of Brownian motion and thermophoresis properties. The non-linear problem for Casson Nanofluid flow over an inclined channel is modeled to gain knowledge on the heat and mass exchange phenomenon, by considering important flow parameters of the intensified boundary layer. The governing non-linear partial differential equations are changed to non-linear ordinary differential equations and are afterward illustrated numerically by the Keller-Box scheme. A comparison of the established results, if the incorporated effects are lacking, is performed with the available outcomes of Khan and Pop [1] and recognized in a nice settlement. Numerical and graphical results are also presented in tables and graphs.

show abstract

Unsteady mixed convection flow of Casson fluid past an inclined stretching sheet in the presence of nanoparticles

Cited by 15 publications

References 15 publications

Numerical study of hydrodynamic flow of a Casson nanomaterial past an inclined sheet under porous medium

Numerical study of hydrodynamic flow of a Casson nanomaterial past an inclined sheet under porous medium

Dual Numerical Solutions on Mixed Convection Casson Fluid Flow Due to the Effect of the Rate of Extending and Compressing Sheet – Stability Analysis

Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method

Contact Info

Product

Resources

About