Lie group analysis for bioconvection MHD slip flow and heat transfer of nanofluid over an inclined sheet: Multiple solutions

Dhanai, Ruchika; Rana, Puneet; Kumar, Lalit

doi:10.1016/j.jtice.2016.07.001

Cited by 37 publications

(15 citation statements)

References 36 publications

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“…The impact of temperature-dependent viscosity in the flow of nanofluid over a rotating system was investigated by Xun et al [30]. Dhanai et al [31] discussed some multiple solutions regarding the flow of nanoparticles containing gyrotactic microorganisms. The investigations conducted by Mutuku and Makinde [32] were based on the hydromagnetic bioconvection flow of nanofluid over a vertical plate.…”

Section: Introductionmentioning

confidence: 99%

Significance of Bioconvective and Thermally Dissipation Flow of Viscoelastic Nanoparticles with Activation Energy Features: Novel Biofuels Significance

et al. 2020

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The analysis of bioconvection flow nanofluids is the topic of concern in recent decades as it involves a variety of physical significance in biotechnology. Bioconvection has many applications in the interdisciplinary field of sciences such as in biomedical science, biofuel biotechnology, and enzyme-based biosensors, among others. The aim of the current work is to analyze the bioconvection phenomenon in the two-dimensional steady flow of viscoelastic nanofluid over a vertical surface. Here, the effects of activation energy, second-order slip, and nanoparticles zero mass flux conditions are considered to investigate the flow problem. Based on dimensionless variables, the governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) which are further solved numerically by using a built-in BVP4C approach in MATLAB software. Various controlling parameters like Hartman number, viscoelastic parameter, first and second-order slip factors, buoyancy ratio parameter, thermophoresis parameter, Brownian motion constant, bioconvection Lewis number and Peclet number are graphically illustrated for the distributions of velocity, temperature, concentration, and motile microorganism. Moreover, the variation of local Nusselt number, local Sherwood number, and motile density number are numerically investigated for the involved parameters.

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Section: Introductionmentioning

confidence: 99%

Significance of Bioconvective and Thermally Dissipation Flow of Viscoelastic Nanoparticles with Activation Energy Features: Novel Biofuels Significance

et al. 2020

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“…Some findings regarding slip flows with various geometrical and physical aspects are listed in refs. (Turkyilmazoglu, 2011a, b; Dhanai et al , 2016; Rana et al , 2017).…”

Section: Introductionmentioning

confidence: 99%

Activation energy impact on radiated magneto-Sisko nanofluid flow over a stretching and slipping cylinder: entropy analysis

Sarkar

Jana

Das

2020

MMMS

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PurposeThe purpose of this article is to analyze the heat and mass transfer with entropy generation during magnetohydrodynamics (MHD) flow of non-Newtonian Sisko nanofluid over a linearly stretching cylinder under the influence of velocity slip, chemical reaction and thermal radiation. The Brownian motion, thermophoresis and activation energy are assimilated in this nanofluid model. Convective boundary conditions on heat and mass transfer are considered. The physical model may have diverse applications in several areas of technology underlying thermohydrodynamics including supercritical fluid extraction, refrigeration, ink-jet printing and so on.Design/methodology/approachThe dimensional governing equations are nondimensionalized by using appropriate similarity variables. The resulting boundary value problem is converted into initial value problem using the method of superposition and numerically computed by employing well-known fourth-order Runge–Kutta–Fehlberg approach along with shooting technique (RKF4SM). The quantitative impacts of emerging physical parameters on the velocity, temperature, concentration, skin friction coefficient, Nusselt number, Sherwood number, entropy generation rate and Bejan number are presented graphically and in tabular form, and the salient features are comprehensively discussed.FindingsFrom graphical outcomes, it is concluded that the slip parameters greatly influence the flow characteristics. Fluid temperature is elevated with rising radiation parameter and thermal Biot number. Nanoparticle concentration is reported in decreasing form with activation energy parameter. Entropy is found to be an increasing function of magnetic field, Brownian motion and material parameters. The entropy is less generated for shear-thinning fluid compared to shear-thickening as well as Newtonian fluids in the system.Originality/valueTill now no study has been documented to explore the impact of binary chemical reaction with Arrhenius activation energy on entropy generation in an MHD boundary layer flow of non-Newtonian Sisko nanofluid over a linear stretching cylinder with velocity slip and convective boundary conditions.

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“…It is an influential, advanced, and methodical technique to discover similarity solutions of differential equations (nonlinear) and is broadly exercised in nonlinear dynamical structure in many natural and engineering problems. Many researchers describe different kinds of flow patterns over individual geometries found in plasma physics, chemical engineering, fluid mechanics, and so forth on account of this technique. Das et al developed the double‐diffusive nanofluid flow model over an inclined plane using Lie group analysis.…”

Section: Introductionmentioning

confidence: 99%

Passive control nanoparticles in double‐diffusive free convection nanofluid flow over an inclined permeable plate

Sarkar

Kundu

2019

Heat Trans. Asian Res.

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The present study has been conducted to acquire the solutions for the flow problem of an incompressible nanofluid past a permeable inclined plate implanted in a porous medium. In this study, double-diffusivity, Brownian motion, and thermophoresis as well as passive control nanoparticles have been studied. We employ Lie group transformation on the ruling equations to extract nonlinear ordinary differential equations and solve them numerically using the fourth-order Runge-Kutta method and shooting approach. The supremacy of affined parameters on temperature and velocity distributions has been exposed by means of tables and graphs. This investigation suggests that both fluid velocity and nanoparticle concentration are enhanced by the modified Dufour parameter and the thermophoresis parameter. The assistance of the Lewis number intensifies the heat transport for suction. K E Y W O R D SBrownian motion, double diffusion, nanofluid, passive control, suction/injection, thermophoresis

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Lie group analysis for bioconvection MHD slip flow and heat transfer of nanofluid over an inclined sheet: Multiple solutions

Cited by 37 publications

References 36 publications

Significance of Bioconvective and Thermally Dissipation Flow of Viscoelastic Nanoparticles with Activation Energy Features: Novel Biofuels Significance

Significance of Bioconvective and Thermally Dissipation Flow of Viscoelastic Nanoparticles with Activation Energy Features: Novel Biofuels Significance

Activation energy impact on radiated magneto-Sisko nanofluid flow over a stretching and slipping cylinder: entropy analysis

Passive control nanoparticles in double‐diffusive free convection nanofluid flow over an inclined permeable plate

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