Analysis of MHD mixed convection in a Ag-TiO2 hybrid nanofluid flow past a slender cylinder

Patil, P.M.; Kulkarni, Madhavarao

doi:10.1016/j.cjph.2021.07.030

Cited by 69 publications

(22 citation statements)

References 40 publications

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“…The following nonsimilar transformations 29,34 are introduced to get nondimensional equations for governing Equations 3-7:…”

Section: Modeling Of the Physical Problemmentioning

confidence: 99%

“…The following nonsimilar transformations 29,34 are introduced to get nondimensional equations for governing Equations –:

ξ goodbreak= \frac{4}{R} \sqrt{\frac{x ν_{f}}{U_{\infty}}}, η goodbreak= \frac{r^{2} - R^{2}}{4 R} \sqrt{\frac{U_{\infty}}{x ν_{f}}}, \frac{r^{2}}{R^{2}} goodbreak= ξ η goodbreak+ 1,

G ((),, ξ, η) goodbreak= \frac{T - T_{\infty}}{T_{w} - T_{\infty}}, H ((),, ξ, η) goodbreak= \frac{c}{c_{\infty}}, S ((),, ξ, η) goodbreak= \frac{d}{c_{\infty}} .

The stream function is given as

ψ ((), x, r) goodbreak= R \sqrt{ν_{f} U_{\infty} x} f ((),, ξ, η) .

Velocity components

u

and

v

in the direction of

x

and

r

, respectively, are

u = \frac{1}{r} \frac{\partial ψ}{\partial r}, v = - \frac{1}{r} \frac{\partial ψ}{\partial x} .

…”

Section: Modeling Of the Physical Problemmentioning

confidence: 99%

“…This paper has studied the homogeneous and surface reactions in the mixed convection flow over a slender cylinder. The governing equations of the problem are a set of highly nonlinear partial differential equations whose approximate numerical solutions are obtained by using the method of the implicit finite difference scheme aided by the quasilinearization technique [27][28][29][30] . Here, an agglomeration of nanoparticles to the fluid is not considered due to hybrid nanofluid formed as a stable compound.…”

Section: Introductionmentioning

confidence: 99%

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Homogeneous and heterogeneous reactions in the mixed convection flow of hybrid nanofluid over a slender cylinder

Patil

Benawadi

Tonannavar

et al. 2022

Asia-Pacific J Chem Eng

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This article is about the study of homogeneous and heterogeneous reactions in the mixed convection flow of hybrid nanofluid over a moving vertical slender cylinder. It is based on the considerations of unequal diffusivity of chemical species and the numerical solutions from the nonsimilar approach. This study has found applications in many chemically reacting processes, including the processes in the biochemical systems, combustion, and catalysis. Numerically approximate solutions to a set of equations, which govern the flow, temperature, and concentrations of the chemical species with prescribed boundary constraints, are obtained by utilizing the implicit finite-difference scheme aided by the quasi-linearization technique. The impacts of several relevant parameters on various profiles and gradients are discussed with the aid of graphs and tables. From the results, the skin friction coefficient and rate of heat transport are pronounced to be more for hybrid nanofluid than nanofluid.The strength of homogeneous reaction on species concentration is found to be fewer than the heterogeneous reaction. The streamwise coordinate (nonsimilar variable) is more favorable to the concentration of autocatalyst than to the reactant concentration.

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“…The following nonsimilar transformations 29,34 are introduced to get nondimensional equations for governing Equations 3-7:…”

Section: Modeling Of the Physical Problemmentioning

confidence: 99%

“…The following nonsimilar transformations 29,34 are introduced to get nondimensional equations for governing Equations –:

ξ goodbreak= \frac{4}{R} \sqrt{\frac{x ν_{f}}{U_{\infty}}}, η goodbreak= \frac{r^{2} - R^{2}}{4 R} \sqrt{\frac{U_{\infty}}{x ν_{f}}}, \frac{r^{2}}{R^{2}} goodbreak= ξ η goodbreak+ 1,

G ((),, ξ, η) goodbreak= \frac{T - T_{\infty}}{T_{w} - T_{\infty}}, H ((),, ξ, η) goodbreak= \frac{c}{c_{\infty}}, S ((),, ξ, η) goodbreak= \frac{d}{c_{\infty}} .

The stream function is given as

ψ ((), x, r) goodbreak= R \sqrt{ν_{f} U_{\infty} x} f ((),, ξ, η) .

Velocity components

u

and

v

in the direction of

x

and

r

, respectively, are

u = \frac{1}{r} \frac{\partial ψ}{\partial r}, v = - \frac{1}{r} \frac{\partial ψ}{\partial x} .

…”

Section: Modeling Of the Physical Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Homogeneous and heterogeneous reactions in the mixed convection flow of hybrid nanofluid over a slender cylinder

Patil

Benawadi

Tonannavar

et al. 2022

Asia-Pacific J Chem Eng

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“…54 Following assumptions mentioned above, the governing equations for the continuity, momentum, and energy in a hybrid nanofluid flow can be expressed as in works of Patil and others. 16,17,43,[55][56][57] Mass conservation equation:…”

Section: Mathematical Analysismentioning

confidence: 99%

Influence of nonlinear thermal radiation on mixed convective hybrid nanofluid flow about a rotating sphere

2022

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“…Singh and Roy 7 have analyzed the influence of transverse curvature, rotation, and surface mass transfer on combined convection motion about a thin cylinder. The impact of Prandtl number and buoyancy force on the drag coefficient and transfer of heat on the slender cylinder is analyzed by Patil et al 8 Recently, Patil et al 9 have worked on mixed convection hybrid nanofluid past a slender cylinder.…”

Section: Introductionmentioning

confidence: 99%

A study of convective nanofluid flow over a rough slender cylinder under the influence of magnetic field and species diffusion

2021

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The present work explores the analysis of magnetohydrodynamics nonlinear mixed conv ective nanofluid flow over a vertical slender cylinder in the presence of surface roughness. The application of the present study can be found in the process of coating wires. In fact, during such a process, thin wires in the slender cylinder need to be cooled, and also heat and mass transfer rates need to be controlled through nanofluid and liquid hydrogen to yield better results. By employing nonsimilar transformations, the partial differential equations governing the flow problem are reduced to dimensionless equations. Furthermore, the Quasilinearization technique and implicit finite difference scheme are used to solve the dimensionless governing equations. The novelty of the analysis is the impacts of surface roughness, diffusion of liquid hydrogen, and the presence of nonlinear mixed convective flow over a slender cylinder. The numerical results reveal that the energy transport strength and surface drag coefficient enhance with the roughness parameter values. The nanoparticle volume fraction profile reduces, while nanoparticle Sherwood number enhances with increasing values of velocity ratio parameter. The presence of nanoparticles in the conventional fluid diminishes the energy transfer value significantly for both smooth and rough surfaces. The velocity of the

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Analysis of MHD mixed convection in a Ag-TiO2 hybrid nanofluid flow past a slender cylinder

Cited by 69 publications

References 40 publications

Homogeneous and heterogeneous reactions in the mixed convection flow of hybrid nanofluid over a slender cylinder

Homogeneous and heterogeneous reactions in the mixed convection flow of hybrid nanofluid over a slender cylinder

Influence of nonlinear thermal radiation on mixed convective hybrid nanofluid flow about a rotating sphere

A study of convective nanofluid flow over a rough slender cylinder under the influence of magnetic field and species diffusion

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