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

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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“…The competency of Adams numerical solver along with BDF method [22][23][24][25][26] is also utilized to solve the system given in eq. (6) and boundary conditions as given:…”

Section: Numerical Solutions: Adams and Backward Difference Methodsmentioning

confidence: 99%

Numerical computing paradigms for the dynamics of squeezing rheology of third grade fluid

et al. 2020

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In the current study, investigation for the time-dependent flow of third grade fluid between two disks is presented by exploiting the competency of numerical solvers based on Adams and implicit backward difference methods. The applicable mathematical equations are derived and simplified using boundary layer approach. Transformations are invoked for conversion of partial differential equations (PDEs) to ordinary differential equations (ODEs). Numerical treatment is done with Adams and backward difference scheme. The graphical and numerical illustrations are incorporated to present the effect of physical quantities in fluidic system involving squeezing disks. The level of accuracy is achieved with the help of absolute error graph between Adams and Backward difference scheme for each variants of the system model. Validation of the performance on the basis of convergence analysis also presented.

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“…We have utilized finite difference method [23][24][25][26][27] to solve system model of nonuniform heat immersion phenomenon in a bio-convective rheology of nanoparticles combined with gyro-tactic microorganisms.…”

Section: Numerical Solutionmentioning

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

Cited by 9 publications

References 36 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 computing paradigms for the dynamics of squeezing rheology of third grade fluid

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

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