Numerical Treatments to Analyze the Nonlinear Radiative Heat Transfer in MHD Nanofluid Flow with Solar Energy

Awan, Saeed Ehsan; Raja, Muhammad Asif Zahoor; Mehmood, Ammara; Niazi, Shahab Ahmad; Siddiqa, Sadia

doi:10.1007/s13369-020-04593-5

Cited by 62 publications

(27 citation statements)

References 36 publications

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“…2 and 3. These tables witnesses that magnetic field, In future, one may explore strength of stochastic numerical solvers based on neural networks optimized with metaheuris- tics procedures [35][36][37][38][39][40] to study the dynamical Effects fluidic problems based on Gyro-Tactic organisms in bio-convective nano-material with heat immersion, stratification, and viscous dissipation.…”

Section: Simulated Results With Discussionmentioning

confidence: 99%

Effects of Gyro-Tactic Organisms in Bio-convective Nano-material with Heat Immersion, Stratification, and Viscous Dissipation

et al. 2020

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Analysis has been conducted to investigate the nonuniform heat immersion phenomenon in bio-convective rheology of nanoparticles combined with gyro-tactic microorganisms. Inclined magnetic field effects are incorporated to predict magnetonano properties. Simultaneous properties of motile microorganisms along with heat and mass transfer effects are investigated. Bio-convective phenomenon (addition of gyro-tactic microorganisms in the system to stabilize the nanoparticles) has been analyzed along with thermal stratification, viscous dissipation, and Joule heating processes. Mathematical modeling has been presented to obtain the solution numerically and analytically. Error analysis and comparison with published data have been presented to show the validity of the obtained results. Bar charts and velocity plots have been prepared for the emerging physical quantities. Numerically computed magnitudes of skin friction, local Sherwood number, motile microorganism density function, and local Nusselt number for various physical quantities have been presented in tabular form. Keywords Heat immersion List of symbolsT Fluid temperature p Fluid pressure M Hartman number N b Brownian motion N t Thermophoresis characteristics λ Mixed convection Nr Buoyancy ratio parameter B Muhammad Asif Zahoor Raja

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Section: Simulated Results With Discussionmentioning

confidence: 99%

Effects of Gyro-Tactic Organisms in Bio-convective Nano-material with Heat Immersion, Stratification, and Viscous Dissipation

et al. 2020

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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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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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“…The reference numerical solutions are determined by employing the Adams predictor corrector method 60 – 62 to solve the system of Eqs. ( 13 – 15 ) by using boundary conditions as given in Eq.…”

Section: Methodsmentioning

confidence: 99%

Integrated intelligent computing application for effectiveness of Au nanoparticles coated over MWCNTs with velocity slip in curved channel peristaltic flow

Raja

Sabati

Parveen

et al. 2021

Sci Rep

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Estimation of the effectiveness of Au nanoparticles concentration in peristaltic flow through a curved channel by using a data driven stochastic numerical paradigm based on artificial neural network is presented in this study. In the modelling, nano composite is considered involving multi-walled carbon nanotubes coated with gold nanoparticles with different slip conditions. Modeled differential system of the physical problem is numerically analyzed for different scenarios to predict numerical data for velocity and temperature by Adams Bashforth method and these solutions are used as a reference dataset of the networks. Data is processed by segmentation into three categories i.e., training, validation and testing while Levenberg–Marquart training algorithm is adopted for optimization of networks results in terms of performance on mean square errors, train state plots, error histograms, regression analysis, time series responses, and auto-correlation, which establish the accurate and efficient recognition of trends of the system.

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Numerical Treatments to Analyze the Nonlinear Radiative Heat Transfer in MHD Nanofluid Flow with Solar Energy

Cited by 62 publications

References 36 publications

Effects of Gyro-Tactic Organisms in Bio-convective Nano-material with Heat Immersion, Stratification, and Viscous Dissipation

Effects of Gyro-Tactic Organisms in Bio-convective Nano-material with Heat Immersion, Stratification, and Viscous Dissipation

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

Integrated intelligent computing application for effectiveness of Au nanoparticles coated over MWCNTs with velocity slip in curved channel peristaltic flow

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