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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 *** estimated values of the thermal conductivity and viscosity of the hybrid nanomaterial are utilized in 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 *** interactive effects of the pertinent parameters on the heat transfer rate are presented by plotting the response surfaces and the contours obtained from the *** mono and hybrid nanomaterial flow fields are *** hybrid nanomaterial possesses enhanced thermal fields for nanoparticle volume fractions less than 2%.The irregular heat source and the thermal radiation enhance the temperature *** 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)

Nanoparticle aggregation effects on radiative heat transport of nanoliquid over a vertical cylinder with sensitivity analysis

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Applied Mathematics and Mechanics(English Edition) 2021年第3期42卷 331-346页

作者： b.mahanthesh K.THRIVENI Department of Mathematics CHRIST(Deemed to be University)Bangalore 560029KarnatakaIndia

A sensitivity analysis is performed to analyze the effects of the nanoparticle(NP)aggregation and thermal radiation on heat transport of the nanoliquids(titania based on ethylene glycol)over a vertical *** optimization of heat transfer rate and friction factor is performed for NP volume fraction(1%≤φ≤3%),radiation parameter(1≤R_(t)≤3),and mixed convection parameter(1.5≤λ≤2.5)via the facecentered central composite design(CCD)and the response surface methodology(RSM).The modified Krieger and Dougherty model(MKDM)for dynamic viscosity and the bruggeman model(bM)for thermal conductivity are utilized to simulate nanoliquids with the NP aggregation *** complicated nonlinear problem is treated *** is found that the temperature of nanoliquid is enhanced due to the aggregation of *** friction factor is more sensitive to the volume fraction of NPs than the thermal radiation and the mixed convection ***,the heat transport rate is more sensitive to the effect of radiative heat compared with the NP volume fraction and mixed convection parameter.

关键词： nanoparticle(NP)aggregation nanoliquid surface heat flux response surface methodology(RSM) sensitivity analysis

Heat transport of hybrid nanomaterial in an annulus with quadratic boussinesq approximation

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Applied Mathematics and Mechanics(English Edition) 2021年第6期42卷 885-900页

作者： K.THRIVENI b.mahanthesh Department of Mathematics CHRIST(Deemed to be University)Bangalore 560029KarnatakaIndia

The convective heat transfer of hybrid nanoliquids within a concentric annulus has wide engineering applications such as chemical industries, solar collectors, gas turbines, heat exchangers, nuclear reactors, and electronic component cooling due to their high heat transport rate. Hence, in this study, the characteristics of the heat transport mechanism in an annulus filled with the Ag-MgO/H_2O hybrid nanoliquid under the influence of quadratic thermal radiation and quadratic convection are analyzed. The nonuniform heat source/sink and induced magnetic field mechanisms are used to govern the basic equations concerning the transport of the composite nanoliquid. The dependency of the Nusselt number on the effective parameters(thermal radiation, nonlinear convection,and temperature-dependent heat source/sink parameter) is examined through sensitivity analyses based on the response surface methodology(RSM) and the face-centered central composite design(CCD). The heat transport of the composite nanoliquid for the spacerelated heat source/sink is observed to be higher than that for the temperature-related heat source/sink. The mechanisms of quadratic convection and quadratic thermal radiation are favorable for the momentum of the nanoliquid. The heat transport rate is more sensitive towards quadratic thermal radiation.

关键词： quadratic boussinesq approximation non-uniform heat source/sink hybrid nanoliquid response surface methodology(RSM) annulus sensitivity analysis

Reiner-Rivlin nanomaterial heat transfer over a rotating disk with distinct heat source and multiple slip effects

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Applied Mathematics and Mechanics(English Edition) 2021年第10期42卷 1495-1510页

作者： A.S.SAbU J.MACKOLIL b.mahanthesh A.MATHEW Department of Mathematics St.Thomas College(Autonomous)Thrissur 680001KeralaIndia Center for Mathematical Needs Department of MathematicsCHRIST(Deemed to be University)Bengaluru 560029KarnatakaIndia

The thermodynamic features of the Reiner-Rivlin nanoliquid flow induced by a spinning disk are analyzed *** non-homogeneous two-phase nanofluid model is considered to analyze the effect of nanoparticles on the thermodynamics of the Reiner-Rivlin nanomaterial,which also includes a temperature-dependent heat source(THS)and an exponential space-dependent heat source(ESHS).Further,the transfer of heat and mass is analyzed with velocity slip,volume fraction jump,and temperature jump boundary *** finite difference method-based routine is used to solve the complicated differential equations formed after using the von-Karman similarity *** cases of the present problem are found to be in good agreement with benchmarking *** relationship of the pertinent parameters with the heat and mass transport is scrutinized using correlation,which is further evaluated based on the probable error *** models are fitted for the friction factor at the disk and heat transport,which accurately predict the dependent *** Reiner-Rivlin nanoliquid temperature is influenced comparatively more by the ESHS than by *** Nusselt number is decreased by the ESHS and THS,whereas the friction factor at the disk is predominantly decremented by the wall roughness *** increment in the non-Newtonian characteristic of the liquid leads more fluid to drain away in the radial direction far from the disk compared with the fluid nearby the disk in the presence of the centrifugal force during *** increased thermal and volume fraction slip lowers the nanoliquid temperature and nanoparticle volume fraction profiles.

关键词： rotating surface Reiner-Rivlin fluid nanomaterial exponential space-based heat source multiple slip effect regression analysis

Dynamics of Sutterby fluid flow due to a spinning stretching disk with non-Fourier/Fick heat and mass flux models

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Applied Mathematics and Mechanics(English Edition) 2021年第9期42卷 1247-1258页

作者： F.MAbOOD J.MACKOLIL b.mahanthesh A.RAUF S.A.SHEHZAD Department of Information Technology Fanshawe College LondonON N5Y 5R6Canada Department of Mathematics CHRIST(Deemed to be University)Bangalore 560029India Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan

The magnetohydrodynamic Sutterby fluid flow instigated by a spinning stretchable disk is modeled in this *** Stefan blowing and heat and mass flux aspects are incorporated in the thermal *** conventional models for heat and mass flux,i.e.,Fourier and Fick models,are modified using the Cattaneo-Christov(CC)model for the more accurate modeling of the *** boundary layer equations that govern this problem are solved using the apt similarity *** subsequent system of equations is tackled by the Runge-Kutta-Fehlberg(RKF)*** graphical visualizations of the results are discussed with the physical *** rates of mass and heat transmission are evaluated for the augmentation in the pertinent *** Stefan blowing leads to more species diffusion which in turn increases the concentration field of the *** external magnetism is observed to decrease the velocity ***,more thermal relaxation leads to a lower thermal field which is due to the increased time required to transfer the heat among fluid *** heat transport is enhanced by the stretching of the rotating disk.

关键词： Sutterby fluid Stefan blowing Cattaneo-Christov(CC)theory magnetic field rotating stretching disk

Entropy generation analysis of tangent hyperbolic fluid in quadratic boussinesq approximation using spectral quasi-linearization method

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Applied Mathematics and Mechanics(English Edition) 2021年第10期42卷 1525-1542页

作者： C.SRINIVAS REDDY b.mahanthesh P.RANA K.S.NISAR Department of Mathematics Government City CollegeTelangana 500002India Department of Mathematics CHRIST(Deemed to be University)Bengaluru 560029India School of Mathematical Sciences College of Science and TechnologyWenzhou-Kean UniversityWenzhou 325060China Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser 11991Saudi Arabia

In many industrial applications,heat transfer and tangent hyperbolic fluid flow processes have been garnering increasing attention,owing to their immense importance in technology,engineering,and *** processes are relevant for polymer solutions,porous industrial materials,ceramic processing,oil recovery,and fluid *** present tangent hyperbolic fluid flow and heat transfer model accurately predicts the shear-thinning phenomenon and describes the blood flow ***,the entropy production analysis of a non-Newtonian tangent hyperbolic material flow through a vertical microchannel with a quadratic density temperature fluctuation(quadratic/nonlinear boussinesq approximation)is performed in the present *** impacts of the hydrodynamic flow and Newton’s thermal conditions on the flow,heat transfer,and entropy generation are *** governing nonlinear equations are solved with the spectral quasi-linearization method(SQLM).The obtained results are compared with those calculated with a finite element method and the bvp4c *** addition,the effects of key parameters on the velocity of the hyperbolic tangent material,the entropy generation,the temperature,and the Nusselt number are *** entropy generation increases with the buoyancy force,the pressure gradient factor,the non-linear convection,and the Eckert *** non-Newtonian fluid factor improves the magnitude of the velocity *** power-law index of the hyperbolic fluid and the Weissenberg number are found to be favorable for increasing the temperature *** buoyancy force caused by the nonlinear change in the fluid density versus temperature improves the thermal energy of the system.

关键词： tangent hyperbolic fluid nonlinear boussinesq approximation entropy production convective boundary condition spectral quasi-linearization method(SQLM)

Quadratic convective flow of radiated nano-Jeffrey liquid subject to multiple convective conditions and Cattaneo-Christov double 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.SHEHZAD 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 Jeffrey liquid with Cattaneo-Christov heat flux is investigated in the presence of nanoparticles. The features of thermophoretic and brownian 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-Fehlberg(RKF) method. Impacts of physical constraints on the liquid velocity, the temperature, and the nanoparticle volume fraction are analyzed through graphical illustrations. It is established that the velocity of the liquid and its associated boundary layer width increase with the mixed convection parameter and the Deborah number.

关键词： nonlinear convection Jeffrey liquid nanoliquid convective condition thermophoretic brownian motion

Significance of Darcy-Forchheimer Porous Medium in Nanofluid Through Carbon Nanotubes

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Communications in Theoretical Physics 2018年第9期69卷 361-366页

作者： Taseer Muhammad Dian-Chen Lu b.mahanthesh Mohamed R.Eid Muhammad Ramzan Amanullah Dar Department of Mathematics Faculty of ScienceJiangsu UniversityZhenjiang 212013China Department of Mathematics Government College Women UniversitySialkot 51310Pakistan Department of Mathematics Christ UniversityBengaluru 560029KarnatakaIndia Department of Mathematics Faculty of ScienceNew Valley BranchAssiut UniversityAssiut 71511Egypt Department of Computer Science Bahria UniversityIslamabad CampusIslamabad 44000Pakistan Department of MechanicM Engineering Sejong UniversitySeoul 143-747South Korea Department of Mathematics University of Kotli Azad Jammu and KashmirKotli 11100Pakistan Department of basic Science Deanship of Preparatory YearNorthern Border UniversityAfar 91431 Egypt Saudi Arabia

This article manages Darcy-Forchheimer 3D flow of water based carbon nanomaterial(CNTs).A bidirectional nonlinear stretchable surface has been utilized to make the *** in permeable space has been represented by Darcy Forchheimer(DF)*** transfer mechanism is explored through convective *** for SWCNT and MWCNT have been displayed and *** reduction of partial differential framework into nonlinear common differential framework is made through reasonable *** series scheme is utilized for arrangements advancement of associated flow *** homotopic solution expressions for velocities and temperature are studied through graphs by considering various estimations of physical *** surface drag coefficients and heat transfer rate are analyzed through plots.

关键词： three-dimensional flow CNTs(SWCNT and MWCNT) Darcy-Forchheimer porous space con-vective surface condition nonlinear stretching surface

Galerkin finite element analysis of magneto-hydrodynamic natural convection of Cu-water nanoliquid in a baffled U-shaped enclosure

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Propulsion and Power Research 2020年第4期9卷 383-393页

作者： A.Zaim A.Aissa F.Mebarek-Oudina b.mahanthesh G.Lorenzini M.Sahnoun M.El Ganaoui bLSTE Laboratory Faculty of Science and TechnologyUniversity of MascaraMascaraAlgeria Labor atoire de Physique Quantique de La Matiere et Moderation Mathematique(LPQ3M) Universite Mustapha Stambouli de MascaraMascaraAlgeria Department of Physics Faculty of SciencesUniversity of 20 Aoiit 1955-SkikdaSkikda2100Algeria Labor atoire des Materiaux et Genie Energetique(LMGE) University of 20 Aout 1955-SkikdaSkikda2100Algeria Department of Mathematics CHRIST(Deemed to Be University)Bangalore560029India Department of Engineering and Architecture University of Parma.Parco Area Delle Scienze 1H1/A43124ParmaItaly Labor atoire energetique de Longvy(FJV/LERMAb) Universite de LorraineFrance

In this paper,single-phase homogeneous nanofluid model is proposed to investigate the natural convection of magneto-hydrodynamic(MIID)flow of Newtonian Cu—H20 nanoliquid in a baffled U-shaped *** brinkman model and Wasp model are considered to measure the effective dynamic viscosity and effective thermal conductivity of the nanoliquid ***'s effective properties such as specific heat,density and thermal expansion coefficient are modeled using mixture *** complicated PDS(partial differential system)is treated for numeric solutions via the Galerkin finite element *** pertinent parameters Hartmann number(1≤Ha≤60),Rayleigh number(10^(3)≤Ra≤10^(6))and nanoparticles volume fraction (0% ≤Ф≤4%) are taken for the parametric analysis, and it is conducted via streamlines and isotherms. Excellent agreement between numerical results and open literature. It is ascertained that heat transfer rate enhances with Rayleigh number Ra and volume fraction 0, however it is diminished for laiger Hartmann number Ha.

关键词： Natural convection Nanoliquid Rayleigh number baffled U-shaped Nusselt number Galerkin finite element method