Inclined magnetic field and variable viscosity effects on bioconvection of Casson nanofluid slip flow over non linearly stretching sheet

Sarwar, Noman; Asjad, Muhammad Imran; Hussain, Sajjad; Alam, Md. Nur; İnç, Mustafa

doi:10.1016/j.jppr.2022.09.002

Cited by 12 publications

(3 citation statements)

References 37 publications

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“…The flow model is systematically revealed in Figure 1. The fundamental conservation equations for mass, momentum, energy, concentration, and microorganism are provided by [45][46][47], considering the boundary layer and Boussinesq assumptions.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The flow model is systematically revealed in Figure 1. The fundamental conservation equations for mass, momentum, energy, concentration, and microorganism are provided by [45–47], considering the boundary layer and Boussinesq assumptions.

\begin{equation}\frac{{\partial u}}{{\partial x}} + \ \frac{{\partial v}}{{\partial y}} = 0,\end{equation}

\begin{equation}{\rho }_{nf}\ \left( {u\frac{{\partial u}}{{\partial x}} + v\frac{{\partial u}}{{\partial y}}} \right) = {\mu }_{nf}\ \left( {1 + \frac{1}{\beta }} \right)\frac{{{\partial }^2u}}{{\partial {y}^2}} + {\left( {\rho {\beta }_T} \right)}_{nf}gcos{\theta }_1\left( {T - {T}_\infty } \right) - \frac{{{\mu }_{nf}}}{K}u - {\sigma }_{nf}B_o^2u,\end{equation}

{(ρ c_{P})}_{n f} ((), u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y}) badbreak= k_{n f} \frac{\partial^{2} T}{\partial y^{2}} goodbreak+ μ_{n f} ((), 1 + \frac{1}{β}) {(\frac{\partial u}{\partial y})}^{2} goodbreak+ σ_{n f}

…”

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

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

Farooq,

Hussain,

Farooq

2023

Z Angew Math Mech

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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.

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Section: Problem Formulationmentioning

confidence: 99%

“…The flow model is systematically revealed in Figure 1. The fundamental conservation equations for mass, momentum, energy, concentration, and microorganism are provided by [45–47], considering the boundary layer and Boussinesq assumptions.

\begin{equation}\frac{{\partial u}}{{\partial x}} + \ \frac{{\partial v}}{{\partial y}} = 0,\end{equation}

\begin{equation}{\rho }_{nf}\ \left( {u\frac{{\partial u}}{{\partial x}} + v\frac{{\partial u}}{{\partial y}}} \right) = {\mu }_{nf}\ \left( {1 + \frac{1}{\beta }} \right)\frac{{{\partial }^2u}}{{\partial {y}^2}} + {\left( {\rho {\beta }_T} \right)}_{nf}gcos{\theta }_1\left( {T - {T}_\infty } \right) - \frac{{{\mu }_{nf}}}{K}u - {\sigma }_{nf}B_o^2u,\end{equation}

{(ρ c_{P})}_{n f} ((), u \frac{\partial T}{\partial x} + v \frac{\partial T}{\partial y}) badbreak= k_{n f} \frac{\partial^{2} T}{\partial y^{2}} goodbreak+ μ_{n f} ((), 1 + \frac{1}{β}) {(\frac{\partial u}{\partial y})}^{2} goodbreak+ σ_{n f}

…”

Section: Problem Formulationmentioning

confidence: 99%

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

Farooq,

Hussain,

Farooq

2023

Z Angew Math Mech

View full text Add to dashboard Cite

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“…Lately, Sarwar et al. [10] described the role of an inclined magnetic field on the Casson nanoliquid flow due to a nonlinear extending sheet with temperature‐dependent viscosity. It is reported here that the velocity distribution is significantly minimized by the nonlinear stretching parameter.…”

Section: Introductionmentioning

confidence: 99%

A non‐similar solution to dissipative Eyring‐Powell nanofluid flow over a nonlinear stretching surface with an inclined magnetic field and active/passive nanoparticles flux

Liu,

Shahmir,

Ramzan

et al. 2024

Z Angew Math Mech

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Amongst numerous non‐Newtonian fluid models, Eyring‐Powell fluid is prominent owing to its shear thinning, pseudoplastic, and yield stress unique characteristics. It has varied industrial applications including the modeling of polymer melts, food products, and blood flow. This study discusses the Darcy Forchheimer flow of Eyring‐Powell nanoliquid along a nonlinear stretched surface influenced by an inclined magnetic flux. The mass and heat transmissions are supported by active and passive control of nanoparticles respectively. The unique effect of viscous dissipation is introduced to influence the liquid velocity and temperature. Unlike the majority of the research being published that espouses similar solutions, we adopted the non‐similar analysis of the proposed problem to eradicate the chance of the variable in the parameters. This was a challenging task and was taken as a mathematical art rather than a science. The established Buongiorno model is followed to compute the thermophoretic and Brownian motion effects. The numerical computation of this mathematical system is performed using the bvp4c algorithm. The results are described through graphs and in numerically calculated tabulated values. It is determined that wall drag is stronger when the magnetic field is inclined at an angle of than at . Additionally, it is observed that passive control of nanoparticles results in better rates of heat and mass transmissions, against varied values of the fluid parameter with . The validation of the envisioned model is also a part of this exploration.

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Study of radiative heat and mass intensification with magnetic field for Casson and Williamson nanofluid flow model over a porous stretching sheet with higher-order chemical reaction: application of solar energy

Jyothi,

Avula Golla

2023

J Therm Anal Calorim

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Inclined magnetic field and variable viscosity effects on bioconvection of Casson nanofluid slip flow over non linearly stretching sheet

Cited by 12 publications

References 37 publications

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

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

A non‐similar solution to dissipative Eyring‐Powell nanofluid flow over a nonlinear stretching surface with an inclined magnetic field and active/passive nanoparticles flux

Study of radiative heat and mass intensification with magnetic field for Casson and Williamson nanofluid flow model over a porous stretching sheet with higher-order chemical reaction: application of solar energy

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