Influence of particulate thermophoresis on convection heat and mass transfer in a slip flow of a viscoelasticity-based micropolar fluid

Sui, Jize; Zhao, Peng; Cheng, Zhengdong; Doi, Masao

doi:10.1016/j.ijheatmasstransfer.2017.11.104

Cited by 29 publications

(14 citation statements)

References 45 publications

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“…It is worth mentioning here that

R

essentially represents the rate of isothermal chemical reaction. An increase in

R

can enhance the reaction rate to promote the molecular mass transfer . So the concentration at the reaction site is depleted to develop a thinner solutal boundary layer.…”

Section: Resultsmentioning

confidence: 99%

“…Based on this approximation, we got

u ≫ v

\frac{\partial p}{\partial y} ≃ 0

\frac{\partial u}{\partial y} ≫ \frac{\partial v}{\partial y}

\frac{\partial^{2} u}{\partial y^{2}} ≫ \frac{\partial^{2} u}{\partial x^{2}}

and

\frac{\partial p}{\partial y} ≅ 0

. The nonlinear coupled partial differential equations , and along with the allied boundary conditions (Equations and ) are converted to nonlinear ordinary differential equations using appropriate similarity transformations as:

η = y \sqrt{\frac{a}{υ}}, ψ = \sqrt{a υ} x f (η), θ (η) = \frac{T - T_{\infty}}{T_{w} - T_{\infty}}, ϕ (η) = \frac{C - C_{\infty}}{C_{w} - C_{\infty}} .

…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Multiple slip effects on MHD nanofluid flow over an inclined, radiative, and chemically reacting stretching sheet by means of FDM

Barik¹,

Mishra²,

Mishra

et al. 2019

Heat Trans. Asian Res.

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In the present study, the magnetohydrodynamic characteristics of an electrically conducting nanofluid flowing past an inclined stretching sheet have been studied numerically. The governing partial differential equations were transformed to nonlinear ordinary differential equations (ODEs) via suitable similarity variables.The wall suction/injection as well as Navier's first-order slip has been considered for velocity, temperature, and concentration at the wall. The ODEs were solved in a finite difference framework via a computer program written in Engineering Equation Solver platform. The effect of different parameters on the velocity, temperature, and concentration field has also been presented. Multiple slip flow finds its application in many practical fields such as microelectromechanical systems, nanoelectromechanical systems, flow of micro-organisms, rarefied gas flow, to name a few.

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“…It is worth mentioning here that

R

essentially represents the rate of isothermal chemical reaction. An increase in

R

can enhance the reaction rate to promote the molecular mass transfer . So the concentration at the reaction site is depleted to develop a thinner solutal boundary layer.…”

Section: Resultsmentioning

confidence: 99%

“…Based on this approximation, we got

u ≫ v

\frac{\partial p}{\partial y} ≃ 0

\frac{\partial u}{\partial y} ≫ \frac{\partial v}{\partial y}

\frac{\partial^{2} u}{\partial y^{2}} ≫ \frac{\partial^{2} u}{\partial x^{2}}

and

\frac{\partial p}{\partial y} ≅ 0

η = y \sqrt{\frac{a}{υ}}, ψ = \sqrt{a υ} x f (η), θ (η) = \frac{T - T_{\infty}}{T_{w} - T_{\infty}}, ϕ (η) = \frac{C - C_{\infty}}{C_{w} - C_{\infty}} .

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Multiple slip effects on MHD nanofluid flow over an inclined, radiative, and chemically reacting stretching sheet by means of FDM

Barik¹,

Mishra²,

Mishra

et al. 2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…For these, many researchers have made their contributions to find out about of radiation liquid flow. Sui et al [1] have inspected the mass and heat transport of viscoelasticitybased micropolar liquid past an extending surface under the slip conditions effect. Mahabaleshwar et al [2] have scrutinized the impact of heat transport on the Walters' liquid B motion past extending surface under the impact of Navier slip boundary condition with porous medium.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet

Warke

Ramesh

Mebarek‐Oudina

et al. 2021

J Therm Anal Calorim

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In this paper, we have investigated the two-dimensional magnetohydrodynamic steady boundary layer flow of a viscous magnetomicropolar liquid via an extending area. The impact of heat sink/source and chemical reaction is considered. The governing equations are modeled in Cartesian coordinate system. Using the suitable similarity transformations, the partial differential equations system is changed into the nonlinear ordinary differential equations system. The resulting system of equations is solved via mathematical renowned software Mathematica. The impact of diverse parameters through microrotation, concentration, temperature and velocity is examined via graphs. The present study reveals that the velocity is rising function of Soret number, Richardson number and Grashof number. It is mentioned that the greater velocity is located in the case of Newtonian liquid in contrast with the micropolar liquid. In the absence of chemical reaction parameter, the velocity is more as compared with higher chemical reaction parameter. Radiation, Hartmann and chemical reaction parameters augment the temperature. Concentration is a reducing function of radiation, Hartmann and chemical reaction parameters.

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“…Ramya et al [25] considered the nanofluid with thermal and velocity slip parameters. Some studies of micropolar nanofluid with different slip conditions can be found in [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Dual Solutions and Stability Analysis of Micropolar Nanofluid Flow with Slip Effect on Stretching/Shrinking Surfaces

et al. 2019

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The purpose of the present paper is to investigate the micropolar nanofluid flow on permeable stretching and shrinking surfaces with the velocity, thermal and concentration slip effects. Furthermore, the thermal radiation effect has also been considered. Boundary layer momentum, angular velocity, heat and mass transfer equations are converted to non-linear ordinary differential equations (ODEs). Then, the obtained ODEs are solved by applying the shooting method and in the results, the dual solutions are obtained in the certain ranges of pertinent parameters in both cases of shrinking and stretching surfaces. Due to the presence of the dual solutions, stability analysis is done and it was found that the first solution is stable and physically feasible. The results are also compared with previously published literature and found to be in excellent agreement. Moreover, the obtained results reveal the angular velocity increases in the first solution when the value of micropolar parameter increases. The velocity of nanofluid flow decreases in the first solution as the velocity slip parameter increases, whereas the temperature profiles increase in both solutions when thermal radiation, Brownian motion and the thermophoresis parameters are increased. Concentration profile increases by increasing N t and decreases by increasing N b .

show abstract

Influence of particulate thermophoresis on convection heat and mass transfer in a slip flow of a viscoelasticity-based micropolar fluid

Cited by 29 publications

References 45 publications

Multiple slip effects on MHD nanofluid flow over an inclined, radiative, and chemically reacting stretching sheet by means of FDM

Multiple slip effects on MHD nanofluid flow over an inclined, radiative, and chemically reacting stretching sheet by means of FDM

Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet

Dual Solutions and Stability Analysis of Micropolar Nanofluid Flow with Slip Effect on Stretching/Shrinking Surfaces

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