Dynamical analysis for nanofluid slip rheology with thermal radiation, heat generation/absorption and convective wall properties

Rheology of MHD bioconvective nanofluid containing motile microorganisms is inspected numerically in order to analyze heat and mass transfer characteristics. Bioconvection is implemented by combined effects of magnetic field and buoyancy force. Gyrotactic microorganisms enhance the heat and transfer as well as perk up the nanomaterials’ stability. Variable transport properties along with assisting and opposing flow situations are taken into account. The significant influences of thermophoresis and Brownian motion have also been taken by employing Buongiorno’s model of nanofluid. Lie group analysis approach is utilized in order to compute the absolute invariants for the system of differential equations, which are solved numerically using Adams-Bashforth technique. Validity of results is confirmed by performing error analysis. Graphical and numerical illustrations are prepared in order to get the physical insight of the considered analysis. It is observed that for controlling parameters corresponding to variable transport properties c2, c4, c6, and c8, the velocity, temperature, concentration, and bioconvection density distributions accelerates, respectively. While heat and mass transfer rates increases for convection parameter and bioconvection Rayleigh number, respectively.

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“…where h represents step size parameter. Similarly, generalized two-stage Adams-Moulton corrector expressions [36][37][38][39][40][41][42] for…”

Section: Adams Method: Predictor-corrector Approachmentioning

confidence: 99%

“…The competency of Adam Numerical Solver based on predictor-corrector approach [36][37][38][39][40][41][42] is exploited for numerical solution. Equations (9)-(13) are stiff nonlinear, therefore, numerical treatment is conducted with Adams method.…”

Section: Numerical Proceduresmentioning

confidence: 99%

Effects of Variable Transport Properties on Heat and Mass Transfer in MHD Bioconvective Nanofluid Rheology with Gyrotactic Microorganisms: Numerical Approach

et al. 2021

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“…System model represented by eqs. (10)- (12) are discretized using the forward, backward and central difference formula based on 5 point stencils [34][35][36].…”

Section: Numerical Solutionmentioning

confidence: 99%

Numerical and analytical approach for Sakiadis rheology of generalized polymeric material with magnetic field and heat source/sink

et al. 2020

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In this analysis, Sakiadis rheology of the generalized polymeric material has been presented with magnetic field and heat source/sink. Convective heating process with thermal radiations have been incorporated. Mathematical modeling has been performed for the conversion of physical problem into set of non-linear equations. Suitable transformations have been employed in order to convert the derived PDE into set of non-linear ODE. Analytical as well as finite difference method based numerical solutions for the velocity and temperature profiles are computed. Graphical and numerical illustrations have been presented in order to analyze the behavior of involved physical quantities. Error analysis for the non-linear system has been presented in order to show the validity of the obtained results. Bar charts have been plotted to present the heat flux analysis. Tabular values of local Nusselt number are computed for the involved key parameters. Heat transfer rates against magnetic and porosity effects found to be decreased since magnetic field and porosity retard the molecular movement of the fluid particles. This controlling property of magnetic field and porosity effects have application in MHD power generation, electromagnetic casting of metals, MHD ion propulsion, etc. Moreover internal heat generation and absorption effects have opposite effects on the fluid temperature.

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“…Comparison of our achieved results with already published data is also made. Beside these, there are many reported studies in which the dynamics of MHD nanofluidic problems are investigated in diversified fields, see [21][22][23][24][25] and references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Falkner-Skan fluid rheology with heat transfer properties

et al. 2020

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Original scientific paper https://doi.org/10.2298/TSCI180509312A This article addresses the effects of heat transfer on magnetohydrodynamic Falkner-Skan wedge flow of a Jeffery fluid. The continuity, momentum and energy balance equations yield the relevant PDE which are transforms to ODE by exploitation of similarity variables. Strength of optimal homotopy series solutions is practiced to solved analytically the transformed ODE model of hydromagnetic Falkner-Skan fluid rheology with heat transfer scenarios. The graphical and numerical illustrations of the result are presented for different interesting flow parameters. Numerical values of Nusselt number are tabulated. It is observed that for the Falkner-Skan rheology, the applied magnetic field acts as a controlling agnet which controls the fluids velocity up to the desired value whereas Debrorah number enhances the fluid velocity.

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Dynamical analysis for nanofluid slip rheology with thermal radiation, heat generation/absorption and convective wall properties

Cited by 17 publications

References 20 publications

Effects of Variable Transport Properties on Heat and Mass Transfer in MHD Bioconvective Nanofluid Rheology with Gyrotactic Microorganisms: Numerical Approach

Effects of Variable Transport Properties on Heat and Mass Transfer in MHD Bioconvective Nanofluid Rheology with Gyrotactic Microorganisms: Numerical Approach

Numerical and analytical approach for Sakiadis rheology of generalized polymeric material with magnetic field and heat source/sink

Hydromagnetic Falkner-Skan fluid rheology with heat transfer properties

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