Energy conservation of nanofluids from a biomagnetic needle in the presence of Stefan blowing: Lie symmetry and numerical simulation

Bég, O. Anwar; Zohra, Fatema Tuz; Uddin, Mohammed Jashim; Ismail, Ahmad Izani Md.; Sathasivam, Saratha

doi:10.1016/j.csite.2021.100861

Cited by 21 publications

(5 citation statements)

References 54 publications

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“…The numerical solution for the problem described by Eqs. ( 31 ) and ( 32 ) was carried out using MATLAB’s bvp5c functionality, with reference to 56 . The calculated maximum error was determined to be approximately .…”

Section: Implementation Of Lshpmmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the nonlinear phenomena of free vibration in a system with one degree of freedom. This adaptation involves the integration of HPM with a least-squares optimizer, resulting in a hybrid method called the least square homotopy perturbation method (LSHPM). The LSHPM is tested on various nonlinear problems documented in the existing literature. To evaluate the effectiveness of the proposed approach, the identified problems are also tackled using HPM and the MATLAB built-in function bvp5c, and then the results are compared with those obtained using LSHPM. In addition, a comparative analysis is carried out with the results of the AG method as found in the literature. The results show that LSHPM is a reliable and efficient method suitable for solving more complicated initial value problems in the fields of science and engineering.

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Section: Implementation Of Lshpmmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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“…This research combining Lie symmetry analysis and numerical simulations, researchers can gain insights into the energy conservation properties of nanofluids in the presence of Stefan blowing. They can study the interactions between the bio-magnetic needle and the nanofluids, analyze the heat transmission mechanisms and investigate the effect of blowing effects on energy conservation, Beg et al (2021). The study involves analysing the behaviour of a non-Newtonian fluid near a solid surface, in the presence of a magnetic field, where the flow is influenced by the boundary layer effects (Amirson et al , 2018).…”

Section: Introductionmentioning

confidence: 99%

Magneto-convective hybrid nanofluid slip flow over a moving inclined thin needle in a Darcy-Forchheimer porous medium with viscous dissipation

Hakeem,

S.,

Bhose

et al. 2023

HFF

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Purpose The purpose of this study is to provide that porous media and viscous dissipation are crucial considerations when working with hybrid nanofluids in various applications.Recent years have witnessed significant progress in optimizing these fluids for enhanced heat transfer within porous (Darcy–Forchheimer) structures, offering promising solutions for various industries seeking improved thermalmanagement and energy efficiency. Design/methodology/approach The first step is to transform the original partial differential equations into a system of first-order ordinary differential equations (ODEs). The fourth-order Runge–Kutta method is chosen for its accuracy in solving ODEs. The present study investigates the free convective boundary layer flow of hybrid nanofluids over a moving thin inclined needle with the slip flow brought about by inclined Lorentz force and Darcy–Forchheimer porous matrix, viscous dissipation. Findings It is found that slip conditions (velocity and Thermal) exist for a range of the natural convection boundary layer flow. In the hybrid nanofluid flow, which consists of Al2O3 and Fe3O4 are nanoparticles, H2O − C2H6O2 (50:50) are considered as the base fluid. The consequence of the governing parameter on the momentum and temperature profile distribution is graphically depicted. The range of the variables is 1 ≤ M ≤ 4, 1 ≤ d ≤ 2.5, 1 ≤ δ ≤ 4, 1 ≤ Fr ≤ 7, 1 ≤ Kr ≤ 7 and 0.5≤λ ≤ 3.5. The Nusselt number and skin friction factors are used to calculate the numerical values of various parameters, which are displayed in Table 4. These analyses elucidate that upsurges in the value of the Fr noticeably diminish the momentum and temperature. It is investigated to see if the contemporary results are in outstanding promise with the outcomes reported in earlier works. Practical implications The results can be very helpful to improve the energy efficiency of thermal systems. Social implications The hybrid nanofluids in heat transfer have the potential to improve the energy efficiency and performance of a wide range of systems. Originality/value This study proposes that in the combined effects of hybrid nanofluid properties, the inclined Lorentz force, the Darcy–Forchheimer model for porous media and viscous dissipation on the boundary layer flow of a conducting fluid over a moving thin inclined needle. Assessing the potential practical applications of the hybrid nanofluids in inclined needles, this could involve areas such as biomedical engineering, drug delivery systems or microfluidic devices. In future should explore the benefits and limitations of using hybrid nanofluids in these applications.

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“…The impact of slip on the flow of nanofluid over a sheet was examined by Uddin et al [3]. Beg et al [4] investigated the nanofluids energy conservation rule using a needle. Attempts [5][6][7][8][9][10][11][12][13] can be used to do more research on the subject of nanofluids.…”

Section: Introductionmentioning

confidence: 99%

“…Beg et al. [4] investigated the nanofluids energy conservation rule using a needle. Attempts [5–13] can be used to do more research on the subject of nanofluids.…”

Section: Introductionmentioning

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

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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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Energy conservation of nanofluids from a biomagnetic needle in the presence of Stefan blowing: Lie symmetry and numerical simulation

Cited by 21 publications

References 54 publications

Critical analysis for nonlinear oscillations by least square HPM

Critical analysis for nonlinear oscillations by least square HPM

Magneto-convective hybrid nanofluid slip flow over a moving inclined thin needle in a Darcy-Forchheimer porous medium with viscous dissipation

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

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