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Theoretical & Applied Mechanics Letters 2022年第3期12卷 156-164页

作者： A.Hasibi A.Gholami Z.Asadi D.D.Ganji Department of Mechanical Engineering Babol University of TechnologyP.O.Box 484BabolIran Department of Mechanical Engineering Islamic Azad UniversitySariIran

The study of the natural convective flow of a fluid in the presence of an induced magnetic field has always been of considerable importance due to its many applications in various areas of science,technology,and industry,such as the operation of magnetohydrodynamic generators.This study addresses an analysis of exponential heat source and induced magnetic field on the second-class convection of Casson fluid in a microchannel.The flow is in a vertical microchannel organized by two vertical plates.The answer to governing equations has been grabbed for temperature field,induced magnetic field,and velocity via Akbari-Ganji’s method(AGM).Nusselt number,skin friction coefficient,and current density are approximated.Graphs that describe the conclusion of influential physical variables on velocity,temperature,current density,induced magnetic field,and skin friction coefficient distributions are shown.Comparison of results with numerical method(Runge-Kutta-Fehlberg,RKF-45),homotopy perturbation method,and AGM confirms the accuracy of answers obtained with AGM.

关键词： AGM method Casson fluid Microchannel exponential heat source

Repercussion of Hall effect and nonlinear radiation on Couette-Poiseuille flow of Casson-Williamson fluid through upright microchannel

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Applied Mathematics and Mechanics(English Edition) 2022年第12期43卷 1951-1964页

作者： B.J.GIREESHA L.ANITHA Department of Post Graduation Studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India Department of Mathematics Adichunchanagiri Institute of TechnologyChikkamagaluru 577102India

The main aim of the present work is to investigate the flow and heat transport properties of non-Newtonian Casson-Williamson fluid through an upright microchannel along with entropy generation analysis,and explore the effects of convective boundary conditions,Couette-Poiseuille flow,and nonlinear radiation.The movement of liquid is scrutinized with the Hall effect and exponential heat source.The rheological characteristics of the Casson-Williamson fluid model are also considered.By considering the desirable similarity variables,the equations of motion are reduced to nonlinear ordinary differential equations.The Runge-Kutta-Fehlberg fourth-fifth order method along with the shooting method is adopted to solve these dimensionless expressions.The detailed investigation is pictorially displayed to show the influence of effective parameters on the entropy generation and the Bejan number.One of the major tasks of the exploration is to compare the Casson fluid and the Williamson fluid.The results show that the rate of heat transfer in the Casson fluid is more remarkable than that in the Williamson fluid.

关键词： entropy generation Bejan number convective boundary condition Hall effect nonlinear radiation exponential heat source

Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and Buongiorno model:an irreversibility analysis

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Applied Mathematics and Mechanics(English Edition) 2023年第9期44卷 1613-1628页

作者： L.ANITHA B.J.GIREESHA Department of PG Studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India Department of Mathematics Adichunchanagiri Institute of TechnologyChikkamagaluru 577102India

The thermal properties and irreversibility of the Jeffrey nanofluid through an upright permeable microchannel are analyzed by means of the Buongiorno model.The effects of the Hall current,exponential space coefficient,nonlinear radiation,and convective and slip boundary conditions on the Jeffrey fluid flow are explored by deliberating the buoyant force and viscous dissipation.The non-dimensionalized equations are obtained by employing a non-dimensional system,and are further resolved by utilizing the shooting approach and the 4th-and 5th-order Runge-Kutta-Fehlberg approaches.The obtained upshots conclude that the amplified Hall parameter will enhance the secondary flow profile.The improvement in the temperature parameter directly affects the thermal profile,and hence the thermal field declines.A comparative analysis of the Newtonian fluid and non-Newtonian fluid(Jeffrey fluid)is carried out with the flow across a porous channel.In the Bejan number,thermal field,and entropy generation,the Jeffrey nanofluid is more highly supported than the Newtonian fluid.

关键词： Jeffrey nanofluid entropy generation exponential heat source porous medium convective and slip boundary condition

Optimization of heat transfer in the thermal Marangoni convective flow of a hybrid nanomaterial with sensitivity analysis

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Applied Mathematics and Mechanics(English Edition) 2021年第11期42卷 1663-1674页

作者： J.MACKOLIL B.MAHANTHESH Centre for Mathematical Needs Department of MathematicsCHRIST(Deemed to be University)Bengaluru 560029KarnatakaIndia

The heat transfer rate of the thermal Marangoni convective flow of a hybrid nanomaterial is optimized by using the response surface methodology(RSM).The thermal phenomenon is modeled in the presence of a variable inclined magnetic field,thermal radiation,and an exponential heat source.Experimentally estimated values of the thermal conductivity and viscosity of the hybrid nanomaterial are utilized in the calculation.The governing intricate nonlinear problem is treated numerically,and a parametric analysis is carried out by using graphical visualizations.A finite difference-based numerical scheme is utilized in conjunction with the 4-stage Lobatto IIIa formula to solve the nonlinear governing problem.The interactive effects of the pertinent parameters on the heat transfer rate are presented by plotting the response surfaces and the contours obtained from the RSM.The mono and hybrid nanomaterial flow fields are compared.The hybrid nanomaterial possesses enhanced thermal fields for nanoparticle volume fractions less than 2%.The irregular heat source and the thermal radiation enhance the temperature profiles.The high level of the thermal radiation and the low levels of the exponential heat source and the angle of inclination(of the magnetic field)lead to the optimized heat transfer rate(Nux=7.46275).

关键词： inclined magnetic field Marangoni boundary layer flow sensitivity analysis hybrid nanofluid exponential heat source response surface methodology(RSM)