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Three-dimensional mixed convection flow with variable thermal conductivity and frictional heating

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communications in Theoretical Physics 2020年第3期72卷 14-20页

作者： M Qasim N Riaz Dianchen Lu S Shafie Department of Mathematics Faculty of ScienceJiangsu UniversityZhenjiang 212013China Department of Mathematics COMSATS University Islamabad(CUI)455000Park RoadTarlai KalanIslamabad.Pakistan Department of Mathematical Sciences Faculty of ScienceUniversiti Teknologi Malaysia81310 UTM Johor BahruJohor 81310Malaysia

In this article,three-dimensional mixed convection flow over an exponentially stretching sheet is *** equation is modelled in the presence of viscous dissipation and variable thermal *** of the sheet is varying exponentially and is chosen in a form that facilitates the similarity transformations to obtain self-similar *** nonlinear ordinary differential equations are solved numerically employing the Runge-Kutta shooting *** order to check the accuracy of the method,these equations are also solved using bvp4c built-in routine in *** solutions are in excellent *** effects of physical parameters on the dimensionless velocity field and temperature are demonstrated through various *** novelty of this analysis is the self-similar solution of the threedimensional boundary layer flow in the presence of mixed convection,viscous dissipation and variable thermal conductivity.

关键词： self-similar equations viscous dissipation mixed convection variable thermal conductivity shooting technique bvp4c Matlab

Numerical Simulation of Reiner–Rivlin Nanofluid Flow under the Influence of Thermal Radiation and Activation Energy over a Rotating Disk

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computer Modeling in Engineering & Sciences 2022年第6期131卷 1669-1692页

作者： Arfan Shahzad Muhammad Imran Muhammad Nawaz Naeem Mohsan Raza Department of Mathematics Government College University FaisalabadFaisalabad38000Pakistan Department of Sciences&Humanities National University of Computer and Emerging SciencesChiniot-Faisalabad CampusFaisalabad38000Pakistan

In current study,the numerical computations of Reiner–Rivlin nanofluid flow through a rotational disk under the influence of thermal radiation and Arrhenius activation energy is *** innovative physical situations,the motile microorganisms are incorporated *** multiple slip effects are considered in the boundary *** bioconvection of motile microorganism is utilized alongside nanofluids to provide stability to enhanced thermal *** Bioconvection pattern in various nanoparticles accredits novel applications of biotechnology like the synthesis of biological polymers,biosensors,fuel cells,petroleum engineering,and the natural *** deploying some suitable similarity transformation functions,the governing partial differential equations(PDEs)of the flow problem are rehabilitated into dimensionless *** accomplished ordinary differential equations(ODEs)are solved numerically through the bvp4c scheme via a built-in function in computational MATLAB *** upshots of some prominent physical and bioconvection parameters including wall slip parameters,thermophoresis parameter,Brownian motion parameter,Reiner–Revlin nanofluid parameter,Prandtl number,Peclet number,Lewis number,bioconvection Lewis number,and the mixed convection parameter against velocity,temperature,nanoparticles concentration,and density of motile microorganism profiles are dichotomized and pondered through graphs and *** presented computations show that the velocity profiles are de-escalated by the wall slip parameters while the thermal and solutal fields are upgraded with augmentation in thermophoresis number and wall slip *** presence of thermal radiation enhances the temperature profile of *** concentration profile of nanoparticles is boosted by intensification in activation ***,the increasing values of bioconvection Lewis number and Peclet number decay the motile microorganisms’field.

关键词： Reiner-Rivlin nanofluid bioconvection motile swimming microorganisms rotational disk multiple slip conditions bvp4c

A Numerical Study of Multiple Solutions for Laminar Flows in a Porous and Moving channel

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Numerical Mathematics(Theory,Methods and Applications) 2018年第1期11卷 74-91页

作者： Fen Wang Ping Lin Lin Li Yongyue Jiang Beijing Key Laboratory for Magneto-Photoelectrical composite and Interface Science School of Mathematics and PhysicsUniversity of Science and Technology BeijingBeijing 100083China Division of Mathematics University of DundeeDundee DD14HNUnited Kingdom Beijing Time Technologies co. Ltd.Kaituo Road 17BeijingChina

In this paper,based on the finite element formulation,we focus on multiple solutions and their evolution with time for a laminar flow in a permeable channel with expanding or contracting *** Newtonian fluid and micropolar fluid are *** the Newtonian fluid model,we find that the profile of the unique solution in the case of injection remains the same for long time,which indicates that the solution may be *** the other hand,in the case of large suction,the profile of multiple solutions changes in time,which suggests that the multiple solutions may be *** behaviors and conclusions are observed for the micropolar fluid model under different boundary parameters.

关键词： Newtonian fluid micropolar fluid multiple solutions finite element method bvp4c

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communications in Theoretical Physics 2021年第6期73卷 158-166页

作者： Ammarah Raees Umer Farooq Muzamil Hussain Waseem Asghar Khan Fozia Bashir Farooq Faculty of computer Science and Software Engineering Huaiyin Institute of TechnologyHuai'anChina Department of Mathematics COMSATS University IslamabadPark Road Chak Shahzad Islamabad 44000Pakistan Department of Mathematics College of Sciences AIZulfiMajmaah UniversityA1 Majma'ah11952 Saudi Arabia Department of Mathematics Imam Muhammad ibn Saud Islamic UniversityRiyadh 11432Saudi Arabia Department of Mathematics University of the Poonch RawalakotRawalakot 12350Pakistan

The aspiration of this research is to explore the impact of non-similar modeling for mixed convection in magnetized second-grade nanofluid *** flow is initiated by the stretching of a sheet at an exponential rate in the upward vertical *** buoyancy effects in terms of temperature and concentration differences are inserted in the x-momentum *** aspects of heat and mass transfer are studied using dimensionless thermophoresis,Schmidt and Brownian motion *** governing coupled partial differential system(PDEs)is remodeled into coupled non-similar nonlinear PDEs by introducing non-similar *** numerical analysis for the dimensionless non-similar partial differential system is performed using a local non-similarity method via ***,the quantitative effects of emerging dimensionless quantities on the nondimensional velocity,temperature and mass concentration in the boundary layer are conferred graphically,and inferences are drawn that important quantities of interest are substantially affected by these *** is concluded that non-similar modeling,in contrast to similar models,is more general and more accurate in convection studies in the presence of buoyancy effects for second-grade non-Newtonian fluids.

关键词： non-similar modeling second-grade fluid exponentially stretching surface local non-similarity bvp4c

Numerical computation of Brownian motion and thermophoresis effects on rotational micropolar nanomaterials with activation energy

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Propulsion and Power Research 2023年第3期12卷 397-409页

作者： Hassan Waqas Shan Ali Khan Bagh Ali Dong Liu Taseer Muhammad Enran Hou School of Energy and Power Engineering Jiangsu UniversityZhenjiang 212013China Department of Mathematics Government College University FaisalabadLayyah Campus 31200Pakistan Faculty of computer Science and Information Technology Superior UniversityLahore 54000Pakistan Department of Mathematics College of SciencesKing Khalid UniversityAbha 61413Saudi Arabia college of Mathematics Huaibei Normal UniversityHuaibei 235000China

The current article investigates the numerical study of the micropolar nanofluid flow through a 3D rotating *** communication may manipulate for the aim such as the delivery of the drug,cooling of electronic chips,nanoscience and the fields of *** impact of heat source/sink is *** motion and thermophoresis aspects are *** rotating sheet with the impacts of Darcy-Forchheimer law is also ***,the influence of activation energy is analyzed in the current *** numerical analysis is simplified with the help of befitted resemblance *** succor of the shooting algorithm with built-in solver bvp4c MATLAB software is used for the numerical solution of nonlinear transformed *** consequences of different physical factors on the physical engineering quantities and the subjective fields were examined and *** to outcomes,it can be analyzed that the flow profile declined with the rotational *** is observed that angular velocity diminishes via a larger porosity ***,the temperature gradient is declined via a larger magnitude of the Prandtl *** heat transfer is enhanced in the occurrence of Brownian *** activations energy parameter causes an increment in the volumetric concentration ***,the local Nusselt number is reduced via a greater estimation of the porosity parameter.

关键词： Micropolar nanofluid flow Darcy-Forchheimer law Heat source/sink Activation energy bvp4c

Numerical Analysis of the Magnetic Dipole Effect on a Radiative Ferromagnetic Liquid Flowing over a Porous Stretched Sheet

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Fluid Dynamics & Materials Processing 2024年第2期20卷 293-310页

作者： G.Dharmaiah F.Mebarek-Oudina K.S.Balamurugan N.Vedavathi Department of Mathematics Narasaraopeta Engineering CollegeNarasaraopetIndia Department of Physics Faculty of SciencesUniversity of 20 Août 1955-SkikdaSkikdaAlgeria Department of Mathematics RVR&JC College of EngineeringGunturIndia Department of Mathematics Koneru Lakshmaiah Education FoundationVaddeswaramIndia

The effects of a magnetic dipole on a nonlinear thermally radiative ferromagnetic liquidﬂowing over a stretched surface in the presence of Brownian motion and thermophoresis are *** means of a similarity transformation,ordinary differential equations are derived and solved afterwards using a numerical(the bvp4c)*** impact of various parameters,namely the velocity,temperature,concentration,is presented *** is shown that the nanoparticles properties,in conjunction with the magnetic dipole effect,can increase the thermal conductivity of the engineered nanoﬂuid and,consequently,the heat *** with earlier studies indicates high accuracy and effectiveness of the numerical *** increase in the Brow-nian motion parameter and thermophoresis parameter enhances the concentration and the related boundary *** skin-friction rises when the viscosity parameter is increased.A larger value of the ferromagnetic para-meter results in a higher skin-friction and,vice versa,in a smaller Nusselt number.

关键词： Brownian motion thermo-phoresis radiation magnetic dipole bvp4c non-linear

Mathematical Study of HD Micropolar Fluid Flow with Radiation and Dissipative Impacts over a Permeable Stretching Sheet:Slip Effects Phenomena

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Frontiers in Heat and Mass Transfer 2023年第1期21卷 539-562页

作者： Pudhari Srilatha Ahmed M.Hassan B.Shankar Goud E.Ranjit Kumar Department of Mathematics Institute of Aeronautical EngineeringHyderabadIndia Faculty of Engineering Future University in EgyptNewCairoEgypt Department of Mathematics JNTUH University College of EngineeringScience&TechnologyHyderabadIndia Department of Mathematics Kakatiya Institute of Technology and ScienceTelanganaIndia

The purpose of this research is to investigate the influence that slip boundary conditions have on the rate of heat and mass transfer by examining the behavior of micropolar MHD flow across a porous stretching *** addition to this,the impacts of thermal radiation and viscous dissipation are taken into *** the use of various computing strategies,numerical results have been *** transformation was utilized in order to convert the partial differential equations(PDEs)that regulated energy,rotational momentum,concentration,and momentum into ordinary differential equations(ODEs).As compared to earlier published research,MATLAB inbuilt solver solution shows an extremely good correlation in exceptional *** exceptional instances,the present MATLAB inbuilt solver solution has a very excellent connection with the findings of the previously published investigations.A variety of flow field factors impact the Nusselt number,the wall couple shear stress,the friction factor,Sherwood numbers the dimensionless distributions discussed in *** the Eckert number rises,the temperature rises,and the Schmidt number falls,the concentration *** increases with increases in the material factor but drops with increases in the magnetic parameter and the surface condition factor.

关键词： Micropolar radiation bvp4c MHD suction/injection

Second law analysis of Blasius flow with nonlinear Rosseland thermal radiation in the presence of viscous dissipation

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Propulsion and Power Research 2019年第3期8卷 234-242页

作者： M.I.Afridi M.Qasim Department of Mathematics COMSATS Institute of Information TechnologyIslamabad45550Pakistan

In the present article,we perform the second law analysis of classical Blasius flow accounting the effects of nonlinear radiation and frictional *** two-dimensional boundary layer momentum and energy equations are converted to self-similar equations using similarity *** set of resultant ordinary differential equations are solved *** numerical results obtained from solutions of dimensionless momentum and energy equations are used to calculate the entropy generation number and Bejan *** velocity profile f'(ξ),temperature distributionθ(ξ),entropy production number Ns and Bejan number Be are plotted against the physical flow parameters and are discussed in ***,for the sake of validation of our numerical code,the obtained results are reproduced using Matlab built-in boundary value solver bvp4c resulting in an excellent *** is observed that entropy generation is increasing function of heating parameter,Prandtl number,Eckert number and radiation ***,it is observed that entropy generation can be minimized by reducing the operating temperatureΔT=T_(w)−T_(∞).

关键词： Second law analysis Boundary layer Nonlinear Rosseland thermal radiation Energy dissipation bvp4c

Entropy generation minimization in the carreau nanofluid flow over a convectively heated inclined plate with quadratic thermal radiation and chemical reaction:A Stefan blowing application

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Propulsion and Power Research 2024年第2期13卷 233-244页

作者： B.Lavanya J.Girish Kumar M.Jayachandra Babu c.S.K.Raju Bander Almutairi Nehad Ali Shah Department of Mathematics Manipal Institute of TechnologyManipal Academy of Higher EducationManipalKarnataka 576104India Department of Mathematics S.V.A Government CollegeSrikalahasti 517644India Department of Mathematics GITAM School of Science(GSS)GITAMBangaloreKarnatakaIndia Department of Mathematics College of ScienceKing Saud UniversityRiyadh 11451Saudi Arabia Department of Mechanical Engineering Sejong UniversitySeoul 05006South Korea

Entropy analysis can help to identify the sources of entropy generation in a heat transfer process more accurately than other methods,such as energy efficiency *** is because entropy analysis takes into account the quality of energy as well as its ***-nofluids have already been shown to have superior heat transfer characteristics compared to *** blowing can further enhance the heat transfer capabilities of nano-fluids by increasing the massflux and turbulence at the *** can be beneficial in a wide range of applications,such as heat exchangers,electronic cooling,and solar energy *** convective boundary condition accounts for heat transfer effects,influencing temperature distribution and the thermal boundary *** on the direction of heat transfer,the convective boundary condition can induce cooling or heating effects on the inclined *** has practical implications for various engineering applications,such as the cooling of electronic devices or heating in industrial *** nanofluids have a wide range of potential applications in heat transfer,energy storage,drug delivery,and food *** research investigates how the presence of Stefan blowing affects the properties of carreau nanofluid flow across a convectively heated tilted *** and mass transport phenomena are studied using quadratic thermal radiation and chemical reaction *** mathematical model for this work is based on the Buongiorno *** governing equations are converted into a system of ordinary differential equations and then solved using the bvp4c *** parameters such as the mass transfer rate can be visualized using bar *** study’s primary findings are that when the Weissenberg number increases,the velocity rises and the concentration profile declines due to Brownian *** is discovered that,when 0.5≤γ≤3(the inverse porosity parameter),the friction factor declines by 0

关键词： Thermal radiation bvp4c Stefan blowing Biot number Brownian motion Irreversibilit