Interaction of Wu’s Slip Features in Bioconvection of Eyring Powell Nanoparticles with Activation Energy

Alwatban, Anas M.; Khan, Sami Ullah; Waqas, Hassan; Tlili, Iskander

doi:10.3390/pr7110859

Cited by 82 publications

(29 citation statements)

References 45 publications

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“…After successfully computing the numerical simulation [45][46][47][48][49][50][51][52], now we examine the flow mechanism of various engineering parameters like constant curvature parameter α, Deborah number in terms of relaxation time β 1 , Deborah number in terms of retardation time β 2 , Hartmann number M, mixed convection parameter Γ, Rayleigh number Nc, buoyancy ratio constant Nr, thermophoresis parameter Nt, Brownian motion Nb, thermal radiation parameter R, Prandtl number Pr, Lewis number Le, Biot number γ, Peclet constant Pe, Lewis number Lb, bioconvection constant Ω 1 , first order slip constant ω and second order slip parameter Ω on the distribution of velocity f , temperature θ, concentration φ and motile microorganisms χ. Following to the traditional theoretical scientific contributions for similar analysis, we have allocated some fixed value to each physical parameter like…”

Section: Analysis Of Resultsmentioning

confidence: 99%

Activation Energy and Second Order Slip in Bioconvection of Oldroyd-B Nanofluid over a Stretching Cylinder: A Proposed Mathematical Model

et al. 2019

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The thermal performances based on the interaction of nanoparticles are the topic of great interest in recent years. In the current continuation, we have utilized the activation energy and thermal radiation consequences in the bioconvection flow of magnetized Oldroyd-B nanoparticles over a stretching cylinder. As a novelty, the second order slip features (Wu’s slip) and convective Nield boundary assumptions are also introduced for the flow situation. The heat performances of nanofluids are captured with an evaluation of the famous Buongiorno’s model which enables us to determine the attractive features of Brownian motion and thermophoretic diffusion. The suggested thermal system is based on the flow velocity, nanoparticles temperature, nanoparticles volume fraction and motile microorganisms. The governing flow equations for the flow problem are constituted with relevant references for which numerically solution is developed via shooting algorithm. A detailed graphically analysis for the assisted flow problem is performed in view of the involved parameters. Although some studies are available in the literature which deals with the flow of various fluids over-stretching cylinder, the phenomenon of bioconvection and other interesting features are not reported yet. Therefore, present scientific computations are performed to fill this gap and the reported results can be more useful for the enhancement of thermal extrusion processes, solar energy systems, and biofuels.

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Section: Analysis Of Resultsmentioning

confidence: 99%

Activation Energy and Second Order Slip in Bioconvection of Oldroyd-B Nanofluid over a Stretching Cylinder: A Proposed Mathematical Model

et al. 2019

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“…Following the flow assumptions, the constituted boundary layer equations for the current problem are expressed as [38][39][40]:…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…where K * , α * , β 1 , C 1 and C 2 are respectively, Knudsen number, momentum coefficient, free path for molecular mean, and arbitrary constants. In order to attain the dimensionless form of governing equations, we suggest the following variables [38][39][40]…”

Section: Mathematical Modelingmentioning

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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“…The bioconvection aspects associated with the generalized second-grade nanofluid flow has been reported by Waqas et al [19]. Another work based on the bioconvection of nanoparticles featuring activation energy and slip impact in flow of Eyring Powell non-Newtonian fluid has been analyzed by Alwatban et al [20]. Tlili et al [21] proposed a theoretical model for the stretched flow of Oldroyd B nanofluid in presence of gyrotactic microorganism.…”

Section: Introductionmentioning

confidence: 97%

Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms

et al. 2020

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In recent decades, an interest has been developed towards the thermal consequences of nanofluid because of utilization of nano-materials to improve the thermal conductivity of traditional liquid and subsequently enhance the heat transportation phenomenon. Following this primarily concept, this current work investigates the thermal developed flow of third-grade nanofluid configured by a stretched surface with additional features of activation energy, viscous dissipation and second-order slip. Buongiorno’s nanofluid model is used to explore the thermophoresis and Brownian motion features based on symmetry fundamentals. It is further assumed that the nanoparticles contain gyrotactic microorganisms, which are associated with the most fascination bioconvection phenomenon. The flow problem owing to the partial differential equations is renovated into dimensional form, which is numerically simulated with the help of bvp4c, by using MATLAB software. The aspects of various physical parameters associated to the current analysis are graphically examined against nanoparticles’ velocity, temperature, concentration and gyrotactic microorganisms’ density distributions. Further, the objective of local Nusselt number, local Sherwood number and motile density number are achieved numerically with variation of various parameters. The results presented here may find valuable engineering applications, like cooling liquid metals, solar systems, power production, solar energy, thermal extrusion systems cooling of machine equipment, transformer oil and microelectronics. Further, flow of nanoparticles containing gyrotactic microorganisms has interesting applications in microbial fuel cells, microfluidic devices, bio-technology and enzyme biosensors.

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Interaction of Wu’s Slip Features in Bioconvection of Eyring Powell Nanoparticles with Activation Energy

Cited by 82 publications

References 45 publications

Activation Energy and Second Order Slip in Bioconvection of Oldroyd-B Nanofluid over a Stretching Cylinder: A Proposed Mathematical Model

Activation Energy and Second Order Slip in Bioconvection of Oldroyd-B Nanofluid over a Stretching Cylinder: A Proposed Mathematical Model

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

Utilization of Second Order Slip, Activation Energy and Viscous Dissipation Consequences in Thermally Developed Flow of Third Grade Nanofluid with Gyrotactic Microorganisms

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