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Darcy-Forchheimer flow of variable conductivity Jeffrey liquid with cattaneo-christov heat flux theory

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Applied Mathematics and Mechanics(English Edition) 2017年第4期38卷 557-566页

作者： M. A. MERAJ S.A. SHEHZAD T. HAYAT F.M. ABBASI A. ALSAEDI Department of Mathematics COMSATS Institute of Information TechnologySahiwal 57000Pakistan Department of Mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan NAAM Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics COMSATS Institute of Information TechnologyIslamabad 44000Pakistan

The role of the cattaneo-christov heat flux theory in the two-dimensional laminar flow of the Jeffrey liquid is discussed with a vertical sheet. The salient feature in the energy equation is accounted due to the implementation of the cattaneo-christov heat flux. A liquid with variable thermal conductivity is considered in the Darcy-Forchheimer porous space. The mathematical expressions of momentum and energy are coupled due to the presence of mixed convection. A highly nonlinear coupled system of equations is tackled with the homotopic algorithm. The convergence of the homotopy expressions is calculated graphically and numerically. The solutions of the velocity and temperature are expressed for various values of the Deborah number, the ratio of the relaxation time to the retardation time, the porosity parameter, the mixed convective parameter, the Darcy-Forchheimer parameter, and the conductivity parameter. The results show that the velocity and temperature are higher in Fourier＇s law of heat conduction cases in comparison with the cattaneo-christov heat flux model.

关键词： Darcy-Forchheimer porous medium variable conductivity Jeffrey liquid cattaneo-christov heat flux

Analytical study of cattaneo–christov heat flux model for a boundary layer flow of Oldroyd-B fluid

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Chinese Physics B 2016年第1期25卷 657-662页

作者： F M Abbasi M Mustafa S A Shehzad M S Alhuthali T Hayat Department of Mathematics Comsats Institute of lnformaHon TechnologyIslamabad 44000Pakistan School of Natural Sciences(SNS) National University of Science and Technology(NUST)Islamabad 44000Pakistan Department of Mathematics Comsats Institute of/nformation TechnologySahiwa157000Pakistan NAAM Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan

We investigate the cattaneo-christov heat flux model for a two-dimensional laminar boundary layer flow of an incompressible Oldroyd-B fluid over a linearly stretching sheet. Mathematical formulation of the boundary layer problems is given. The nonlinear partial differential equations are converted into the ordinary differential equations using similarity transformatioris. The dimensionless velocity and temperature profiles are obtained through optimal homotopy analysis method （OHAM）. The influences of the physical parameters on the velocity and the temperature are pointed out. The results show that the temperature and the thermal boundary layer thickness are smaller in the cattaneo-christov heat flux model than those in the Fourier＇s law of heat conduction.

关键词： Oldroyd-B fluid cattaneo-christov heat flux nonlinear analysis

Impact of melting heat transfer in the time-dependent squeezing nanofluid flow containing carbon nanotubes in a Darcy-Forchheimer porous media with cattaneo-christov heat flux

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Communications in Theoretical Physics 2020年第8期72卷 154-164页

作者： Muhammad Ramzan Nomana Abid Dianchen Lu Iskander Tlili Department of Computer Science Bahria University44000IslamabadPakistan Department of Mechanical Engineering Sejong UniversitySeoul 143-747Republic of Korea Department of Mathematics Faculty of ScienceJiangsu UniversityZhenjiang 212013China Department for Management of Science and Technology Development Ton Duc Thang UniversityHo Chi Minh CityVietnam Faculty of Applied Sciences Ton Duc Thang UniversityHo Chi Minh CityVietnam

This study aims to investigate the time-dependent squeezing of nanofluid flow, comprising carbon nanotubes of dual nature, e.g. single-walled carbon nanotubes, and multi-walled carbon nanotubes,between two parallel disks. Numerical simulations of the proposed novel model are conducted,accompanied by cattaneo-christov heat flux in a Darcy-Forchheimer permeable media. Additional impacts of homogeneous–heterogeneous reactions are also noted, including melting heat. A relevant transformation procedure is implemented for the transition of partial differential equations to the ordinary variety. A computer software-based MATLAB function, bvp4c, is implemented to handle the envisioned mathematical model. Sketches portraying impacts on radial velocity, temperature, and concentration of the included parameters are given, and deliberated upon. Skin friction coefficient and local Nusselt number are evaluated via graphical illustrations. It is observed that the local inertia coefficient has an opposite impact on radial velocity and temperature field. It is further perceived that melting and radiation parameters demonstrate a retarding effect on temperature profile.

关键词： melting heat transfer Darcy-Forchheimer porous media cattaneo-christov heat flux carbon nanotubes squeezing flow homogeneous–heterogeneous reactions

Casson Nanofluid Flow with cattaneo-christov heat flux and Chemical Reaction Past a Stretching Sheet in the Presence of Porous Medium

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Frontiers in heat and Mass Transfer 2024年第4期22卷 1261-1276页

作者： Mahzad Ahmed Raja Mussadaq Yousaf Ali Hassan B.Shankar Goud Department of Mathematics Capital University of Science and TechnologyIslamabad45710Pakistan Department of Mathematics University of Azad Jammu and KashmirMuzzaffarabadAzad Kashmir13100Pakistan Department of Mathematics University of GujratGujrat50700Pakisan Department of Mechanics and Aerospace Engineering Southern University of Science and TechnologyShenzhen518055China Department of Mathematics JNTUH College of EngineeringScience&Technology HyderabadTelangana500085India

In the current work,inclined magnetic field,thermal radiation,and the cattaneo-christov heat flux are taken into account as we analyze the impact of chemical reaction on magneto-hydrodynamic Casson nanofluid flow on a stretching *** Buongiorno’s nanofluid model has been used to model the flow governing *** stretching surface is embedded in a *** using similarity transformations,the nonlinear partial differential equations are transformed into a set of dimensionless ordinary differential *** numerical solution of transformed dimensionless equations is achieved by applying the shooting procedure together with Rung-Kutta 4th-order method employing *** impact of significant parameters on the velocity profile f(ζ),temperature distributionθ(ζ),concentration profileϕ(ζ),skin friction coefficient(Cf),Nusselt number(Nux)and Sherwood number(Shx)are analyzed and displayed in graphical and tabular *** an increase in Casson fluid 0.5heat energy enhancement,petroleum recovery,energy devices,food manufacturing processes,and cooling device adjustment,among ***,present outcomes have been found in great agreementwit

关键词： Nanofluid cattaneo-christov heat flux stretching sheet porous medium rosseland radiation and first order chemical reaction

Impact of cattaneo-christov heat flux in the Nanofluid Flow over an Inclined Permeable Surface with Irreversibility Analysis

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Journal of Applied Mathematics and Physics 2024年第4期12卷 1582-1595页

作者： Muhammad Ramzan Hina Gul Department of Computer Science Bahria University Islamabad Pakistan

This study discusses the magnetohydrodynamic nanofluid flow over an inclined permeable surface influenced by mixed convection, and Cattaeo-christov heat flux. The heat transfer analysis is performed in the presence of a heat source/sink and thermal stratification. To gauge the energy loss during the process, an irreversibility analysis is also performed. A numerical solution to the envisaged problem is obtained using the bvp4c package of MATLAB. Graphs are drawn to assess the consequences of the arising parameters against the associated profiles. The results show that an augmentation in the magnetic field and nanomaterial volume fraction results in an enhancement in the temperature profile. A strong magnetic field can significantly reduce the fluid velocity. The behavior of the Skin friction coefficient against the different estimates of emerging parameters is discussed. .

关键词： Nanofluid Flow cattaneo-christov heat flux Permeable Surface Mixed Convection heat Source/Sink Thermal Stratification

Significance of Nanoparticles Aggregation with cattaneo-christov heat flux on the Water and Ethylene Glycol Mixture Based MWCNTs-Nanofluid Flow over a Stretching Cylinder

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World Journal of Engineering and Technology 2023年第4期11卷 1019-1029页

作者： Muhammad Ramzan Nazia Shahmir Department of Computer Science Bahria University Islamabad Pakistan

This work aims to analyze the flow of electrically conducting MWCNTs-nanofluid over a stretching cylinder with the aggregation and non-aggregation effects of nanoparticles. The working fluid comprised a combination of water and ethylene glycol, with volumetric proportions of (50:50) considered. Convective boundary constraints and modified Fourier law are implemented in heat transmission assessment. The mathematical flow model is formulated in the form of PDEs and is transformed into ODEs via similarity transformation. Numerical outcomes will be obtained with the use of the bvp4c technique and will be displayed with the help of graphs and tables. The results show that the surface drag coefficient is enhanced in the case of aggregation of nanoparticles whereas heat transfer rate is enhanced in the non-aggregation effect of nanoparticles. Furthermore, the temperature distribution enhances the increasing values of particle volume fraction in the case of aggregation effects of nanoparticles whereas temperature distribution lowers in the case of non-aggregation effect of nanoparticles. .

关键词： MWCNTs-Nanofluid Nanoparticles Aggregation Water + Ethylene Glycol Mixture cattaneo-christov heat flux Stretching Cylinder

A Numerical Investigation of 3D MHD Rotating Flow with Binary Chemical Reaction,Activation Energy and Non-Fourier heat flux

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Communications in Theoretical Physics 2018年第7期69卷 89-96页

作者： Dian-Chen Lu M.Ramzan M.Bilal Jae Dong Chung Umer Farooq Department of Mathematics Faculty of Science Jiangsu University Department of Computer Science Bahria University Islamabad Campus Department of Mechanical Engineering Sejong University Department of Mathematics Faculty of Computing Capital University of Science and Technology Department of Mathematics COMSATS Institute of Information Technology

In this investigation we analyze the rotating three-dimensional magnetohydrodynamic flow of Maxwell fluid in attendance of binary chemical reaction with activation energy. Furthermore, effects of non-Fourier heat flux are taken into account. Formulation is done in the presence of heat and mass convective boundary conditions. Self-similar forms from boundary layer equations are obtained using apposite transformations. Numerical solution is obtained via built-in bvp-4c function in MATLAB for the system of differential equations. Effects of ensuing parameters on flow distributions are portrayed graphically. It is witnessed that increasing values of rotational parameter lowers the velocity profile and both Biot numbers have escalating effect on temperature and concentration distributions. A comparative study to a previously done investigation is also included to corroborate our results.

关键词： activation energy binary chemical reaction cattaneo-christov heat flux rotating frame