ANN model for magnetised Casson fluid flow under the influence of thermal radiation and temperature stratification: Comparative analysis

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Год журнала: 2024, Номер 104(4)

Опубликована: Фев. 11, 2024

Abstract The article compares the performance of multi‐layer back‐propagated neural networks using Levenberg–Marquardt (LMS) method and Bayesian Regularization Scheme (BRS) for analysing heat transfer in magnetized Casson fluid over flat cylindrical surfaces. Factors like mixed convection, Joule heating, thermal radiation temperature stratification are considered. Both LMS BRS prove effective handling complex interactions numerical studies. Non‐linear ODE systems solved a shooting technique to obtain Nusselt number datasets, which then divided training, testing validation purposes. accuracy artificial network (ANN) results is confirmed by agreement between predicted target numbers. Analysis mean square error (MSE), regression fitness histogram further validates ANN adeptness. Furthermore, rate increasing parameter, Grashof while, it declines Prandtl Eckert number. study explores impact various parameters on velocity profiles, revealing that provides accurate both research contributes novel perspective understanding behaviour analysis, particularly flow two stretching

Язык: Английский

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Peristaltic transport of viscoelastic fluid in curved ducts with ciliated walls

Physics of Fluids, Год журнала: 2024, Номер 36(3)

Опубликована: Март 1, 2024

The transport of complex rheological fluids in physiological ducts is often facilitated by the dynamic phenomenon peristalsis. Additionally, peristaltic assisted cilia plays a significant role various natural processes such as respiration, circulation, locomotion, and reproduction. This study focuses on magnetically induced flow bounded non-uniform curved walls, motivated importance peristalsis micro-organism motility. To characterize rheology fluid liner, viscoelastic model described constitutive equation Jeffrey's employed. problem mathematically formulated using curvilinear coordinates. Subsequently, linear transformations scaling factors are applied to convert equations into dimensionless form, while considering biotic restrictions creeping long wavelength reduce dependent variables. By utilizing stream function cross-differentiation, fourth-order obtained numerically approximated shooting method. effects parameters illustrated through graphs, physical interpretation graphical results provided. It observed that ciliated walls channel enhance velocity pumping, trapping phenomena more pronounced compared uniform channel.

Язык: Английский

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Mathematical and artificial neural network modeling to predict the heat transfer of mixed convective electroosmotic nanofluid flow with Helmholtz-Smoluchowski velocity and multiple slip effects: An application of soft computing

Case Studies in Thermal Engineering, Год журнала: 2024, Номер 61, С. 104950 - 104950

Опубликована: Авг. 8, 2024

The growing popularity of artificial neural networks (ANNs) is due to their exceptional capability in handling complex and highly nonlinear mathematical problems. ANNs provide a flexible computational framework that extremely useful fields such as biological computation, fluid dynamics, biotechnology. Consequently, this study utilizes machine learning techniques examine the heat transfer mixed convective Electroosmotic Nanofluid flow, considering Helmholtz-Smoluchowski velocity multiple slip effects on an exponentially stretching surface. Different influential factors, including, thermal radiation, viscous dissipation, joule heating, linear source/sink exponential are considered investigation. In current study, graphene oxide magnesium used nanomaterials, with ethylene glycol serving base fluid. bvp4c solver Matlab employed solve versions established problems, including those related skin friction coefficient, rates, velocity, temperature. network model structured handle several tasks: data selection, construction, training, evaluating performance employing mean square error metric. significance parameter subjective profiles demonstrated though tables graphical representation. Numerical results have been compared. showed there excellent validation between numerical results.

Язык: Английский

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Heat transfer performance in a Hybrid nanofluid (Cu-Al2O3 /kerosene oil) flow over a shrinking cylinder

Case Studies in Thermal Engineering, Год журнала: 2023, Номер 52, С. 103539 - 103539

Опубликована: Ноя. 15, 2023

The effect of nanoparticle volume concentration on the thermophysical characteristics hybrid nanofluid has been a major area study. Since nanofluids combine physical and chemical properties nanoparticles in useful way, they overcome limitations mono nanofluids. goal this work is to examine how Cu-Al2O3 affect thermal conductivity, rheological characteristics, dynamic viscosity kerosene oil-based focus study magnetized flow over stretching/shrinking cylinder with influence different effects. For this, mathematical model formulated form PDEs. Then these PDEs are converted into ODEs by applying similarity conversion tackled numerically. To understand behavior, friction drag enhancement, distribution, heat transport phenomenon Cu-Al2O3/kerosene oil, graphical results sketched. show that inclusion boosts skin coefficient rate. Here, ϕ1 , ϕ2 symbolize Copper ϕCu Aluminum Oxide ϕAl2O3 fractions, respectively. It discovered values Re1/2Cf Re−1/2Nu grow when fractions increase. Further, increasing magnetic strength lowers fluid velocity increases distribution liquid. Additionally, temperature liquid increased rising Biot number radiation,

Язык: Английский

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Bioconvection analysis for convectively heated radiative flow of Sutterby fluid involving efficacy of ferromagnetic nanoparticles

Thermal Science and Engineering Progress, Год журнала: 2023, Номер 48, С. 102336 - 102336

Опубликована: Дек. 19, 2023

Язык: Английский

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Modeling and analysis of Oldroyd 4-constant mucus flow induced by artificial magnetic cilia

Physics of Fluids, Год журнала: 2024, Номер 36(3)

Опубликована: Март 1, 2024

Cilia serve as sensory organelles extending from cell surfaces, enabling the monitoring of intricate rheological surroundings. The objective this study is to incorporate governing equations Oldroyd 4-constant model into flows propelled by ciliary motion. Additionally, Maxwell's are employed introduce a body force term within classical Navier–Stokes equations. problem grounded in assumptions creeping flow and long wavelengths. resulting differential equation simulated using robust finite difference method MATLAB R2023a. obtained solution exhibits convergence presented for fluid velocity, pressure rise, contour lines. also validated via shooting method. These results beneficial designing artificial magnetic cilia (with similar beating patterns) used manipulations lab-on-chip devices.

Язык: Английский

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Numerical analysis of the radiative heat transfer and fluid flow between two cylinders using a high-order efficient Probabilists’ Hermite polynomial based collocation method

Numerical Heat Transfer Part B Fundamentals, Год журнала: 2024, Номер unknown, С. 1 - 20

Опубликована: Фев. 28, 2024

Radiative effects are useful in physics and engineering, especially high-temperature operations space technology. The impact of thermal radiation is important managing the heat transfer process polymer production sector. This work examines Soret Dufour effect on mass fluid flow between two cylinders. only thing that creates inner cylinder extending beneath motionless outer cylinder. Thermal nonuniform source/sink also considered. Through application similarity transformations, governing nonlinear differential equations for this dynamics converted into ordinary (ODEs). After that, these simplified solved by applying collocation method with Probabilists' Hermite polynomial. physical behavior parameters examined depth using graphical representations. results a comprehensive examination presented tabular data. Result reveals heat, momentum, fields all significantly impacted gap size. As number parameter value grows, profile rises. concentration rises as values increases, whereas rise Schmidt shows reverse pattern.

Язык: Английский

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Examining heat transfer in an annular region bounded by an inner stretching and outer stationary cylinder considering variable properties

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, Год журнала: 2025, Номер unknown

Опубликована: Март 11, 2025

This research offers a comparative analysis of how varying physical properties affect heat transfer in fluid-filled annulus between coaxial cylinders. The fluid movement is driven by the linear expansion inner cylinder, with outer cylinder remaining stationary. Additionally, study considers two distinct variations variable viscosity function: (a) an inverse-linear temperature dependency and (b) exponential dependency, sometimes referred to as Reynolds law. To streamline numerical integration process, governing equations are transformed into ordinary differential that include parameter γ , which inversely proportional cylinder’s radius. present findings compared existing under limiting conditions, comparison shows excellent agreement. Flow visualization via streamlines isotherms velocity profiles higher for narrower gaps cylinders wider gaps. data skin friction coefficient surface cooling rate presented both graphical tabular forms. highlights different gap sizes stretching impact required force influence cooling. result noticeable increase pressure distribution profile Nusselt number differently.

Язык: Английский

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Bioconvective flow of a fluid between a co-axial cylinder with the impact of activation energy: application of Hermite collocation method

Multidiscipline Modeling in Materials and Structures, Год журнала: 2025, Номер unknown

Опубликована: Март 20, 2025

Purpose This study examines the impact of non-linear thermal radiation on bioconvection flow fluid induced by stretching inner cylinder enclosed stationary outer in presence a non-uniform heat source/sink and activation energy. The current scenario presents various obstacles, including incorporation source/sink, necessitating thorough analysis to capture variations heating/cooling. energy adds even more intricacy system. Design/methodology/approach stays fixed while expands horizontally axial direction. is cylinder. equation developed considering source/sink. concentration involves effect chemical reaction Applying appropriate similarity variables converts governing partial differential equations (PDEs) non-dimensional ordinary (ODEs). Probabilists’ Hermite polynomial-based collocation scheme (PHPBCS) utilized solve resultant ODEs. Findings shows that rise values parameter increases temperature profile about drastically. density motile bacteria falls with an increase Peclet number. An upsurge thermophoresis profiles. Originality/value literature indicates no attempt has been made examine Moreover, Probabilists also dimensionless equations, which novel aspect not discussed earlier for these effects.

Язык: Английский

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Heat transfer flow of non-Newtonian eyring-powell fluid with mixed convection heterogeneous and homogeneous reactions using linear regression based machine learning approach

Machine Learning, Год журнала: 2025, Номер 114(6)

Опубликована: Апрель 29, 2025

Язык: Английский

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