Darcy Forchheimer bioconvection flow of Casson nanofluid due to a rotating and stretching disk together with thermal radiation and entropy generation

The present research uncovers the mathematical exploration of the magnetohydrodynamic radiative Casson nanofluid flow produced due to stretching and coaxially rotating surfaces of two disks inside a non‐Darcy porous medium under the dominance of the diacritic Hall current and heat generation. The energy field is displayed under the dominance of radiative and dissipative heat transport by involving the consequences of distinctive nonlinear thermal radiation, viscous dissipation, and Joule heating. The present study overcomes the barrier of heat and mass transport by annexing Cattaneo‐Christov double diffusion effects. The current exploration shows the characteristics of the concentration field due to arising chemical reaction incited by activation energy. A substantive mathematical problem is modeled by assigning nonlinear partial differential equations together with convective boundary conditions. A compatible similarity transformation comprised in the current study is exerted to produce a set of nonlinear ordinary differential equations with competent boundary conditions. The resulting mathematical model is numerically solved via dispensing the SLM. The present article deals with an in‐depth exploration of diagnostic flow parameters' attributes against the flow field and efficient physical quantities with the help of distinctive graphs and tables. As per the current investigation, the energy field becomes potent due to enhancing the stretching of each of the disks. Besides, augmenting the thermophoretic diffusion and chemical reaction boosts diluting the concentration of nanoparticles. The flow along the radial direction gets controlled near the upper disk under the increasing influence of the Hall current, intensity of the magnetic field, and stretching rate of the lower disk. On the other hand, the enlarging Casson parameter, rotation parameter, and stretching parameter for the lower disk lead to controlling the flow along the radial direction adjacent to the lower disk. Apart from that, the intense effects of the stretching rate of the upper disk and rotation rein axial flow throughout the flow region.

\begin{align} \frac{\partial {u}}{\partial {r}}+\frac{u}{r}+\frac{\partial {w}}{\partial {z}}&=0 \end{align}

$$\begin{eqnarray} \frac{\partial {u}}{\partial {t}}+u\frac{\partial {u}}{\partial {r}}+w\frac{\partial {u}}{\partial {z}}-\frac{v^2}{r}&=&-\frac{1}{\rho _{nf}}\frac{\partial {p}}{\partial {r}}+\nu _{nf}{\left(1+\frac{1}{\beta }\right)}{\left(\frac{\partial ^2{u}}{\partial {r^2}}+\fra...

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Radiative heat transport of Cattaneo‐Christov double diffusive Casson nanofluid flow between two rotating disks with Hall current and activation energy

Sahoo,

Nandkeolyar

2023

“…Some notable studies on the bioconvection flow of motile microorganisms and nanofluids can be accessed in the refs. [21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Non‐similar analysis of chemically reactive bioconvective Casson nanofluid flow over an inclined stretching surface

Farooq,

Hussain,

Farooq

2023

Bioconvection in non‐Newtonian nanofluids has a wide range of contemporary applications in biotech, biomechanics, microbiology, computational biology, medical science, etc. Considering the Casson fluid model and inclined stretching geometry a mathematical model is developed to investigate the influence of chemical reactions on bioconvection characteristics of self‐propelled microbes in a non‐Newtonian nanofluid. Nanoparticles that can be dissolved in the blood (base fluid) include titanium oxide () and aluminium oxide (). The impacts of heat generation, magnetic field, and dissipation of viscosity are also included. To simplify the governing system of partial differential equations (PDEs), boundary layer assumptions are used. By using the proper transformations, the governing PDEs and the boundary conditions that correspond with them are further changed to a dimensionless form. Utilizing a local non‐similarity technique up to the second degree of truncation in conjunction with MATLAB's (bvp4c) built‐in finite difference code, the results of the altered model are gathered. Additionally, after achieving good alignment between calculated findings and published results, the influence of changing factors on the flow of fluids and heat transfer features of the envisioned flow problems is shown and examined in graphical configuration. Tables are designed to establish numerical variants of the drag coefficient and Nusselt number. The Outcome of this study is to highlight the important role that chemical reactions play in the bioconvection of Casson nanofluids, and how manipulating the chemical reaction parameter can impact the transport and heat/mass transfer properties of the fluid. It is noted that increasing the chemical reaction parameter leads to a fall in the concentration profile of the bioconvection Casson nanofluid. Enhancing the Casson fluid parameter enhances the velocity and temperature profile. When the Peclet number is altered, the propagation of microorganisms is constrained. Moreover, it was observed that the density of motile microorganisms increased as the bioconvective Lewis numbers became higher. The coefficient of friction on the inclined stretched surface is increased significantly by the porosity parameter and Lorentz forces, as they act as amplifiers.

“…Due to a flexible rotating disc, the Sutterby nanofluid's hydromagnetic flow is entropy optimized is examined by Mujeeb ur Rheman [48]. Casson nanofluid flowing by DF bioconvection due to a rotating and stretching disc, as well as thermal radiation and entropy formation is studied by Siddiqui [42]. Amit Kumar [38] is to Investigate the impact of temperature-dependent viscosity on the creeping flow of Jeffrey fluid across a membrane consisting of collections of porous cylindrical particles.…”

Section: Introductionmentioning

confidence: 99%

Neural network design for cubic autocatalysis chemical processes, the flow of a Darcy‐Forchheimer viscous fluid is optimized for entropy

Shah,

Raja,

Shoaib

et al. 2023

In this article, neural network backpropagation (NNBP) is used to present two‐dimensional Darcy‐Forchheimer viscous fluid (DFVF) of viscous liquid against a stretching sheet under the influence of heat sink/source and viscous dissipation. Mathematical modelling and numerical simulation are also discussed. Thermal polymer processing, engineering processes, and industrial processes all benefit from the dynamic entropy generation phenomenon. Scientists are primarily interested in finding ways to decrease entropy formation to polish up the thermal performance of industrial systems. In this continuation, the optimal frame for the Darcy‐Forchheimer flow with a curved surface has been developed. Non‐linear partial systems are converted to dimensionless differential systems through the employment of the appropriate variables. Utilizing tools from the bvp4c method, the problem's highly nonlinear equations are numerically solved. These ODEs are solved by applying the bvp4c solution approach to produce the reference dataset for NNBP. Using this reference dataset in MATLAB, the graphs for the solution and error analysis for changing various parameters are analyzed. The performance of NNBP is validated using mean squared error data, regression analysis, and error histogram. The DFVF solution is examined using the testing, validation, and training procedures. Examined through influential variables the effects of fluid flow, thermal field, Bejan number, and concentration.