Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo–Christov heat flux model

Khan, Muhammad Ijaz; Waqas, M.; Hayat, Tasawar; Khan, Muhammad Imran; Alsaedi, Ahmed

doi:10.1007/s40430-017-0915-5

Cited by 57 publications

(10 citation statements)

References 50 publications

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“…The associated boundary conditions 50 are: To convert the mathematical model to the nondimensional form, the following local similarity transformations are invoked 51 :…”

Section: Problem Formulationmentioning

confidence: 99%

Radiation and slip effects on MHD Maxwell nanofluid flow over an inclined surface with chemical reaction

2021

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The numerical solutions of the upper‐convected Maxwell (UCM) nanofluid flow under the magnetic field effects over an inclined stretching sheet has been worked out. This model has the tendency to elaborate on the characteristics of “relaxation time” for the fluid flow. Special consideration has been given to the impact of nonlinear velocity slip, thermal radiation and heat generation. To study the heat transfer, the modified Fourier and Fick's laws are incorporated in the modeling process. The mass transfer phenomenon is investigated under the effects of chemical reaction, Brownian motion and thermophoresis. With the aid of the similarity transformations, the governing equations in the ordinary differential form are determined and then solved through the MATLAB's package “bvp4c” numerically. This study also brings into the spotlight such crucial physical parameters, which are inevitable for describing the flow and heat transfer behavior. This has been done through graphs and tables with as much precision and exactitude as is possible. The ascending values of the magnetic parameter, the Maxwell parameter and the angle of the inclined stretching sheet cause decay in the dimensionless velocity while an assisting behavior of the thermal and concentration buoyancy parameters is noticed.

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“…The associated boundary conditions 50 are: To convert the mathematical model to the nondimensional form, the following local similarity transformations are invoked 51 :…”

Section: Problem Formulationmentioning

confidence: 99%

Radiation and slip effects on MHD Maxwell nanofluid flow over an inclined surface with chemical reaction

2021

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“…This is a rate variety of non-Newtonian fluid models in which stress relaxation is known. The Maxwell fluid model acceptably describes the flow behavior of non-Newtonian fluids consisting of a substructure, for instance lubricants with polymer additions, electro-rheological fluids, liquid crystals, blood, and suspension fluids [ 47 , 48 , 49 , 50 ]. This work is presented as follows: In Section 1 , an introduction of the problem under investigation is provided.…”

Section: Introductionmentioning

confidence: 99%

Chemical Reaction and Internal Heating Effects on the Double Diffusive Convection in Porous Membrane Enclosures Soaked with Maxwell Fluid

et al. 2022

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In this paper, the joint impact of the interior heating and chemical reaction on the double diffusive convective flow in porous membrane enclosures soaked by a non-Newtonian Maxwell fluid is investigated applying linear and nonlinear stability techniques. The porous enclosures are square, slender and rectangular. Using the linear stability analysis, the expression for the critical thermal Rayleigh–Darcy number, above which the convective movement occurs, is derived analytically in terms of associated physical parameters. A nonlinear stability examination reliant on the Fourier double series is executed to calculate the convective heat and mass transports of the arrangement. It is observed that the pattern of convective activity is oscillatory only in the occurrence of a relaxation parameter and the threshold value of the relaxation parameter for the occurrence of the oscillatory pattern depends on the other physical parameters. The onset of convective instability accelerates with the increasing chemical reacting parameter, the interior heating parameter, the solute Rayleigh–Darcy number, the Lewis number, the Vadasz number, and the relaxation parameter, while it delays with the heat capacity ratio. The convective heat and mass transfers increase with the solute Rayleigh–Darcy number, the Vadasz number, the relaxation parameter, and the aspect ratio (for rectangular enclosure), while it decreases with the heat capacity ratio and the aspect ratio (for slender enclosure). Additionally, the convective heat transfer enhances with the interior heating parameter, while the convective mass transfer enhances with the chemical reacting parameter and the Lewis number. The effects of Vadasz number, heat capacity ratio, and relaxation parameter are witnessed only on the oscillatory pattern of convection and unsteady convective heat and mass transfers. Further, some existing literature results are compared with the current findings.

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“…The most straightforward subclass of the rate‐type liquids is the Maxwell model, which can anticipate the stress relaxation. Khan et al 18 utilized the upper‐convected Maxwell model and non‐Fourier warmth transition model to explore the warmth and mass exchange over an extending plate with velocity slip. Rahbari et al 19 broke down both scientifically and numerically, the problem of an MHD stream and heat transport of an upper‐convected Maxwell liquid in a parallel plate channel.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

Ibrahim

Anbessa

2020

Heat Trans

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This article investigates the Hall and ion‐slip impacts on the mixed convection flow of a Maxwell nanofluid over an expanding surface in a permeable medium. The impacts of Brownian movement and thermophoresis parameters, Soret, Dufour, viscous dissipation, chemical reaction, and suction parameters, are, moreover, considered. Using the similitude changes, the partial differential equations with regard to the momentum, energy, and concentration equations are transformed to an arrangement of nonlinear ordinary differential equations, which are handled numerically utilizing a spectral relaxation method (SRM). The impacts of noteworthy physical parameters on the velocities, thermal, and concentration distributions are investigated graphically. Moreover, the numerical values of skin‐friction coefficients, local Nusselt number, and Sherwood number for different values of the mixed convection parameter ( γ ) , Deborah number ( λ ) , Hall parameter false( β H false) , ion‐slip parameter false( β i false) , Dufour number (Du), and Soret number ( Sr ) are computed and tabulated. It is discovered that ascent in Deborah number reduces both the stream and transverse velocity profiles, while the inverse pattern is seen with augmentation in the mixed convection parameter. In addition, inverse patterns of the stream and transverse velocity profiles are seen with expansion in magnetic, Hall, and ion‐slip parameters. Besides this, the temperature and concentration disseminations decline with augmentation in Dufour number and chemical reaction parameters, respectively. It is likewise seen that both the skin‐friction coefficients lessen with expansion in Deborah number, and they ascend with upgrade in blended convection and ion‐slip parameters, while the opposite condition is noticed with augmentation in Hall parameter. Furthermore, the reverse trends of local Nusselt and Sherwood numbers are discovered with expansion in the Dufour and Soret numbers.

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Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo–Christov heat flux model

Cited by 57 publications

References 50 publications

Radiation and slip effects on MHD Maxwell nanofluid flow over an inclined surface with chemical reaction

Radiation and slip effects on MHD Maxwell nanofluid flow over an inclined surface with chemical reaction

Chemical Reaction and Internal Heating Effects on the Double Diffusive Convection in Porous Membrane Enclosures Soaked with Maxwell Fluid

Mixed convection flow of a Maxwell nanofluid with Hall and ion‐slip impacts employing the spectral relaxation method

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