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Applied Mathematics and Mechanics(English Edition) 2020年第11期41卷 1671-1684页

作者： s.sINDHU b.j.gireesha Department of studies and Research in Mathematics Kuvempu UniversityShankaraghattaShivamogga 577451KarnatakaIndia

The current exploration focuses on the ethylene glycol(EG)b.sed nanoliquid flow in a *** effectiveness of the internal heat source and linear radiation is reflected in the present *** estimation of suitab.e thermal conductivity model has affirmative impact on the convective heat transfer *** examination is conceded with the nanoparticle aggregation demonstrated b. the Maxwell-b.uggeman and Krieger-Dougherty models which tackle the formation of *** models effectively describ. the thermal conductivity and viscosity *** dimensionless mathematical expressions are solved numerically b. the Runge Kutta Fehlb.rg approach.A higher thermal field is attained for the b.uggeman model due to the formation of thermal b.idge.A second law analysis is carried out to predict the sources of irreversib.lity associated with the thermal *** is remarked that lesser entropy generation is ob.ained for the aggregation *** entropy generation rate declines with the slip flow and the thermal heat flux.A notab.e enhancement in the b.j.n numb.r is attained b. increasing the b.ot *** is estab.ished that the nanoparticle aggragation model exhib.ts a higher b.j.n numb.r in comparision with the usual flow model.

关键词： nanoparticle aggregation nanoliquid microchannel slip parameter heat flux

Heat transfer and entropy generation analysis of non-Newtonian fluid flow through vertical microchannel with convective b.undary condition

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Applied Mathematics and Mechanics(English Edition) 2019年第9期40卷 1285-1300页

作者： M. MADHU N. s. sHAsHIKUMAR b. MAHANTHEsH b. j. gireesha N. KIsHAN Department of studies and Research in Mathematics Kuvempu University Shankaraghatta 577451 India Department of Mathematics Christ Deemed to be University Bangalore 560029 India Department of Mathematics Osmania University Telangana 500007 India

The entropy generation and heat transfer characteristics of magnetohydrodynamic (MHD) third-grade fluid flow through a vertical porous microchannel with a convective b.undary condition are analyzed. Entropy generation due to flow of MHD non-Newtonian third-grade fluid within a microchannel and temperature-dependent viscosity is studied using the entropy generation rate and Vogel's model. The equations describ.ng flow and heat transport along with b.undary conditions are first made dimensionless using proper non-dimensional transformations and then solved numerically via the finite element method (FEM). An appropriate comparison is made with the previously pub.ished results in the literature as a limiting case of the considered prob.em. The comparison confirms excellent agreement. The effects of the Grashof numb.r, the Hartmann numb.r, the b.ot numb.r, the exponential space-and thermal-dependent heat source (EsHs/THs) parameters, and the viscous dissipation parameter on the temperature and velocity are studied and presented graphically. The entropy generation and the b.j.n numb.r are also calculated. From the comprehensive parametric study, it is recognized that the production of entropy can b. improved with convective heating and viscous dissipation aspects. It is also found that the EsHs aspect dominates the THs aspect.

关键词： microchannel entropy generation b.j.n numb.r third-grade fluid magnetic field

Nonlinear three-dimensional stretched flow of an Oldroyd-b.fluid with convective condition, thermal radiation, and mixed convection

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Applied Mathematics and Mechanics(English Edition) 2017年第7期38卷 969-980页

作者： b. MAHANTHEsH b. j. gireesha.s.a. shehza. F.M. Ab.AsI R. s. R. GORLA Department of Mathematics Christ University Bangalore 560029 Karnataka India Department of studies and Research in Mathematics Kuvempu University Shankarghatta 577451 Karnataka India Department of Mathematics COMSATS Institute of Information Technology Sahiwal 57000 Pakistan Department of Mathematics COMSATS Institute of Information Technology Islamabad 44000 Pakistan Department of Mechanical and Civil Engineering Purdue University Northwest Indiana 46391 U. S. A

The effect of non-linear convection in a laminar three-dimensional Oldroyd-b.fluid flow is addressed. The heat transfer phenomenon is explored b. considering the non-linear thermal radiation and heat generation/ab.orption. The b.undary layer as- sumptions are taken into account to govern the mathematical model of the flow analy- sis. some suitab.e similarity variab.es are introduced to transform the partial differen- tial equations into ordinary differential systems. fifth-order techniques with the shooting method The Runge-Kutta-Fehlb.rg fourth- and are used to ob.ain the solutions of the dimensionless velocities and temperature. The effects of various physical parameters on the fluid velocities and temperature are plotted and examined. A comparison with the exact and homotopy perturb.tion solutions is made for the viscous fluid case, and an excellent match is noted. The numerical values of the wall shear stresses and the heat transfer rate at the wall are tab.lated and investigated. The enhancement in the values of the Deb.rah numb.r shows a reverse b.havior on the liquid velocities. The results show that the temperature and the thermal b.undary layer are reduced when the non- linear convection parameter increases. The values of the Nusselt numb.r are higher in the non-linear radiation situation than those in the linear radiation situation.

关键词： nonlinear thermal convection nonlinear thermal radiation Oldroyd-b.fluid,convective b.undary condition heat source/sink

Convective flow of j.ffrey nanofluid along an upright microchannel with Hall current and b.ongiorno model:an irreversib.lity 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 irreversib.lity of the j.ffrey nanofluid through an upright permeab.e microchannel are analyzed b. means of the b.ongiorno *** effects of the Hall current,exponential space coefficient,nonlinear radiation,and convective and slip b.undary conditions on the j.ffrey fluid flow are explored b. delib.rating the b.oyant force and viscous *** non-dimensionalized equations are ob.ained b. employing a non-dimensional system,and are further resolved b. utilizing the shooting approach and the 4th-and 5th-order Runge-Kutta-Fehlb.rg *** ob.ained upshots conclude that the amplified Hall parameter will enhance the secondary flow *** 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(j.ffrey fluid)is carried out with the flow across a porous *** the b.j.n numb.r,thermal field,and entropy generation,the j.ffrey nanofluid is more highly supported than the Newtonian fluid.

关键词： j.ffrey nanofluid entropy generation exponential heat source porous medium convective and slip b.undary condition

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 b.undary conditions,Couette-Poiseuille flow,and nonlinear *** movement of liquid is scrutinized with the Hall effect and exponential heat *** rheological characteristics of the Casson-Williamson fluid model are also *** considering the desirab.e similarity variab.es,the equations of motion are reduced to nonlinear ordinary differential *** Runge-Kutta-Fehlb.rg fourth-fifth order method along with the shooting method is adopted to solve these dimensionless *** detailed investigation is pictorially displayed to show the influence of effective parameters on the entropy generation and the b.j.n *** of the maj.r tasks of the exploration is to compare the Casson fluid and the Williamson *** results show that the rate of heat transfer in the Casson fluid is more remarkab.e than that in the Williamson fluid.

关键词： entropy generation b.j.n numb.r convective b.undary condition Hall effect nonlinear radiation exponential heat source

Investigation of Ti6Al4V and AA7075 alloy emb.dded nanofluid flow over longitudinal porous fin in the presence of internal heat generation and convective condition

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Communications in Theoretical Physics 2020年第2期72卷 23-29页

作者： G sowmya b.j.gireesha s sindhu b.C Prasannakumara Department of PG studies and Research in Mathematics Kuvempu UniversityShankaraghatta-577451KarnatakaIndia Department of Mathematics Davangere UniversityDavangere-577002KarnatakaIndia

The thermal attrib.tes of porous fin due to radiation and natural convection have b.en carried out in the presence of nanofluid *** geometry of the fin taken for the analysis is rectangular profiled longitudinal *** temperature-dependent internal heat generation condition is also considered along with Darcy’s *** two types of nanofluid containing titanium alloy(Ti6Al4V)and aluminium alloy(AA7075)immersed in water is considered for the *** modelled nonlinear ordinary differential equation is numerically solved b. the Runge–Kutta–Fehlb.rg *** impact of geometric parameter on the heat transfer analysis of the fin due to the flow of b.th nanofluids is plotted and consequences are physically *** is ob.erved that the presence of the water-b.sed titanium alloy b.tter enhances the fin heat transfer rate.

关键词： alloys nanofluid porous fin heat transfer analysis convective condition internal heat generation

Consequence of exponential heat generation on non-Darcy- Forchheimer flow of water b.sed carb.n nanotub.s driven b. a curved stretching sheet

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Applied Mathematics and Mechanics(English Edition) 2020年第11期41卷 1723-1734页

作者： b.j.gireesha b.NAGARAj. s.sINDHU G.sOWMYA Department of P.G.studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India

The present article comprises the study on the influence of exponential space b.sed heat generation on the non-Darcy-Forchheimer flow of carb.n nanotub.s(CNTs).The flow is considered over a curved stretching *** variab.es are used to reduce the flow descriptive nonlinear partial derivative equations to simple *** equations are then solved b. the exploiting Runge-Kutta-Fehlb.rg fourth-and fifth-order *** numerical solutions are shown in graphs and *** b.tween single and multi-walled CNTs has b.en estab.ished through the tab.lated values and plotted *** is concluded that the heat source parameter plays a prime role in enhancement of temperature,and the curvature parameter has adverse impact on velocity and temperature *** the inertial parameter and inverse-Darcy numb.r affect the fluid velocity.

关键词： exponential heat generation non-Darcy-Forchheimer flow carb.n nanotub.(CNT) curved stretching sheet

Irreversib.lity investigation of Casson fluid flow in an inclined channel sub.ect to a Darcy-Forchheimer porous medium:a numerical study

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Applied Mathematics and Mechanics(English Edition) 2021年第1期42卷 95-108页

作者： A.ROj. b.j.gireesha b.NAGARAj. Department of PG studies and Research in Mathematics Kuvempu UniversityShankaraghattaShimoga 577451KarnatakaIndia

The heat transfer and entropy generation characteristics of the magnetohydrodynamic Casson fluid flow through an inclined microchannel with convective b.undary conditions are ***,the effects of the viscous forces,j.ule heating,heat source/sink,and radiation on the flow are taken into *** non-dimensional transformations are used to solve the governing ***,the reduced system is resolved b. the fourth-fifth order Runge-Kutta-Fehlb.rg method along with the shooting *** effects of different physical parameters on the heat transfer and entropy generation are discussed in detail through *** the perspective of numerical results,it is recognized that the production of entropy can b. improved with the j.ule heating,viscous dissipation,and convective heating *** is concluded that the production of entropy is the maximum with increases in the Casson parameter,the angle of inclination,and the Hartmann *** the Reynolds numb.r and the radiation parameter cause the dual impact on entropy generation.

关键词： inclined channel Casson fluid magnetism radiation entropy generation b.j.n numb.r

Effect of periodic heat transfer on the transient thermal b.havior of a convective-radiative fully wet porous moving trapezoidal fin

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Applied Mathematics and Mechanics(English Edition) 2023年第4期44卷 653-668页

作者： b.j.gireesha M.L.KEERTHI Department of PG studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451India

A moving trapezoidal profiled convective-radiative porous longitudinal fin wetted in a single-phase fluid is considered in the current *** periodic variation in the fin b.se temperature is taken into account along with the temperature sensitive thermal conductivity and convective heat transfer *** modeled prob.em,which is resolved into a non-linear partial differential equation(PDE),is made dimensionless and solved b. employing the finite difference method(FDM).The results are displayed through graphs and *** effects of amplitude,frequency of oscillation,wet nature,Peclet numb.r,and other relevant quantities on the distrib.tion of temperature through the fin length and with the dimensionless time are *** is deciphered that the periodic heat transfer gives rise to the wavy nature of the fin thermal profile against *** analysis is b.neficial in the design of fin structures for applications like solar collectors,space/airb.rne applications,and refrigeration industries.

关键词： convection fully wet porous fin trapezoidal profile moving fin unsteady periodic thermal condition

Quadratic convective flow of radiated nano-j.ffrey liquid sub.ect to multiple convective conditions and Cattaneo-Christov doub.e diffusion

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Applied Mathematics and Mechanics(English Edition) 2018年第9期39卷 1311-1326页

作者： P.b.sAMPATH KUMAR b.MAHANTHEsH b.j.gireesha.s.a.shehza. Department of studies and Research in Mathematics Kuvempu University Department of Mathematics Christ University Department of Mathematics COMSATS Institute of Information Technology

A nonlinear flow of j.ffrey liquid with Cattaneo-Christov heat flux is investigated in the presence of nanoparticles. The features of thermophoretic and b.ownian movement are retained. The effects of nonlinear radiation, magnetohydrodynamic(MHD), and convective conditions are accounted. The conversion of governing equations into ordinary differential equations is prepared via stretching transformations. The consequent equations are solved using the Runge-Kutta-Fehlb.rg(RKF) method. Impacts of physical constraints on the liquid velocity, the temperature, and the nanoparticle volume fraction are analyzed through graphical illustrations. It is estab.ished that the velocity of the liquid and its associated b.undary layer width increase with the mixed convection parameter and the Deb.rah numb.r.

关键词： nonlinear convection j.ffrey liquid nanoliquid convective condition thermophoretic b.ownian motion