Analysis of bio-convective heat transfer over an unsteady curved stretching sheet using the shifted Legendre collocation method

Saranya, S.; Saranya, S.; Al‐Mdallal, Qasem M.

doi:10.1016/j.csite.2022.102433

Cited by 20 publications

(9 citation statements)

References 29 publications

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“…Further Nasir et al 9 have also interpreted the results for Casson nanofluid over a vertical convective surface. The unsteady flow across curved geometry has been further studied by several other researchers 10 , 11 .…”

Section: Introductionmentioning

confidence: 99%

Magnetic dipole effects on unsteady flow of Casson-Williamson nanofluid propelled by stretching slippery curved melting sheet with buoyancy force

Kumar,

Nagaraja,

Almeida

et al. 2023

Sci Rep

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In particular, the Cattaneo-Christov heat flux model and buoyancy effect have been taken into account in the numerical simulation of time-based unsteady flow of Casson-Williamson nanofluid carried over a magnetic dipole enabled curved stretching sheet with thermal radiation, Joule heating, an exponential heat source, homo-heterogenic reactions, slip, and melting heat peripheral conditions. The specified flow's partial differential equations are converted to straightforward ordinary differential equations using similarity transformations. The Runge–Kutta–Fehlberg 4-5th order tool has been used to generate solution graphs for the problem under consideration. Other parameters are simultaneously set to their default settings while displaying the solution graphs for all flow defining profiles with the specific parameters. Each produced graph has been the subject of an extensive debate. Here, the analysis shows that the thermal buoyancy component boosts the velocity regime. The investigation also revealed that the melting parameter and radiation parameter had counterintuitive effects on the thermal profile. The velocity distribution of nanofluid flow is also slowed down by the ferrohydrodynamic interaction parameter. The surface drag has decreased as the unsteadiness parameter has increased, while the rate of heat transfer has increased. To further demonstrate the flow and heat distribution, graphical representations of streamlines and isotherms have been offered.

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Section: Introductionmentioning

confidence: 99%

Magnetic dipole effects on unsteady flow of Casson-Williamson nanofluid propelled by stretching slippery curved melting sheet with buoyancy force

Kumar,

Nagaraja,

Almeida

et al. 2023

Sci Rep

Self Cite

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“…As a consequence, the reduced models fit statistically to produce the optimal solution for heat transfer y hCNT and y CNT . Therefore, we have productively formulated the final quadratic regression equations of the heat transfer for hybrid CNTs in Equation ( 23) and mono CNTs in Equation (24). The equations are written as follows: y hCNT = 1.81639 + 0.129914ϕ hn f + 0.001125M + 0.313135n + 0.004701ϕ 2 hn f − 0.027299n 2 + 0.024337ϕ hn f n, (…”

Section: Rsmmentioning

confidence: 99%

Boundary Layer Stagnation Point Flow and Heat Transfer over a Nonlinear Stretching/Shrinking Sheet in Hybrid Carbon Nanotubes: Numerical Analysis and Response Surface Methodology under the Influence of Magnetohydrodynamics

Samat,

Bachok,

Arifin

2024

Computation

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The present study aims to offer new numerical solutions and optimisation strategies for the fluid flow and heat transfer behaviour at a stagnation point through a nonlinear sheet that is expanding or contracting in water-based hybrid nanofluids. Most hybrid nanofluids typically use metallic nanoparticles. However, we deliver a new approach by combining single- and multi-walled carbon nanotubes (SWCNTs-MWCNTs). The flow is presumptively steady, laminar, and surrounded by a constant temperature of the ambient and body walls. By using similarity variables, a model of partial differential equations (PDEs) with the magnetohydrodynamics (MHD) effect on the momentum equation is converted into a model of non-dimensional ordinary differential equations (ODEs). Then, the dimensionless first-order ODEs are solved numerically using the MATLAB R2022b bvp4C program. In order to explore the range of computational solutions and physical quantities, several dimensionless variables are manipulated, including the magnetic parameter, the stretching/shrinking parameter, and the volume fraction parameters of hybrid and mono carbon nanotubes. To enhance the originality and effectiveness of this study for practical applications, we optimise the heat transfer coefficient via the response surface methodology (RSM). We apply a face-centred central composite design (CCF) and perform the CCF using Minitab. All of our findings are presented and illustrated in tabular and graphic form. We have made notable contributions in the disciplines of mathematical analysis and fluid dynamics. From our observations, we find that multiple solutions appear when the magnetic parameter is less than 1. We also detect double solutions in the shrinking region. Furthermore, the increase in the magnetic parameter and SWCNTs-MWCNTs volume fraction parameter increases both the skin friction coefficient and the local Nusselt number. To compare the performance of hybrid nanofluids and mono nanofluids, we note that hybrid nanofluids work better than single nanofluids both in skin friction and heat transfer coefficients.

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“…which allows us calculating the spectrum of eigenvalues of the radial operator (16). Let us number the radial part of the solution with the index l. Table 1 shows the critical values of the swarm power parameter G 0 for the first five motion modes.…”

Section: Linear Stability Analysismentioning

confidence: 99%

“…The effect of phototaxis, being the propensity of bacteria to move toward a light source, was modeled in [14,15]. Generally, bioconvection develops in inhomogeneous and non-isothermal media [16][17][18]. Such phenomena among higher animals are much more difficult to differentiate from social behavior in a group, and therefore they have been studied much less well.…”

Section: Introductionmentioning

confidence: 99%

Phase Transition in a Dense Swarm of Self-Propelled Bots

Bratsun,

Kostarev

2024

FDMP

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Swarms of self-organizing bots are becoming important elements in various technical systems, which include the control of bacterial cyborgs in biomedical applications, technologies for creating new metamaterials with internal structure, self-assembly processes of complex supramolecular structures in disordered media, etc. In this work, we theoretically study the effect of sudden fluidization of a dense group of bots, each of which is a source of heat and follows a simple algorithm to move in the direction of the gradient of the global temperature field. We show that, under certain conditions, an aggregate of self-propelled bots can fluidize, which leads to a second-order phase transition. The bots' program, which forces them to search for the temperature field maximum, acts as an effective buoyancy force. As a consequence, one can observe a sudden macroscopic circulation of bots from the edge of the group to its center and back again, which resembles classical Rayleigh-Benard thermal convection. In the continuum approximation, we have developed a mathematical model of the phenomenon, which reduces to the equation of a self-gravitating porous disk saturated with an incompressible fluid that generates heat. We derive governing equations in the Darcy-Boussinesq approximation and formulate a nonlinear boundary value problem. An exact solution to the linearized problem for infinitesimal perturbations of the base state is obtained, and the critical values of the control parameter for the onset of the bot circulation are calculated. Then we apply weakly nonlinear analysis using the method of multiple time scales. We found that as the number of bots increases, the swarm exhibits increasingly complex patterns of circulation. KEYWORDSActive matter; collective behavior; self-organization; convection Nomenclature Symbols D Area occupied by bots F Effective volumetric force G, G 0 Dimensionless parameter of a swarm power and its critical value, respectively g Coefficient in Eq. (3) J n Bessel function of nth order n, l Azimuthal and radial wave numbers, respectively p Pressure field Q Power of heat generated by bots This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Analysis of bio-convective heat transfer over an unsteady curved stretching sheet using the shifted Legendre collocation method

Cited by 20 publications

References 29 publications

Magnetic dipole effects on unsteady flow of Casson-Williamson nanofluid propelled by stretching slippery curved melting sheet with buoyancy force

Magnetic dipole effects on unsteady flow of Casson-Williamson nanofluid propelled by stretching slippery curved melting sheet with buoyancy force

Boundary Layer Stagnation Point Flow and Heat Transfer over a Nonlinear Stretching/Shrinking Sheet in Hybrid Carbon Nanotubes: Numerical Analysis and Response Surface Methodology under the Influence of Magnetohydrodynamics

Phase Transition in a Dense Swarm of Self-Propelled Bots

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