Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model

Anwar, Talha; Asifa,; Thounthong, Phatiphat; Muhammad, Shah; Duraihem, Faisal Z.

doi:10.1016/j.aej.2021.06.090

Cited by 21 publications

(7 citation statements)

References 44 publications

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“…Similarly, the solution attained of the velocity field in Equation ( 25) can be transformed into the attained results of Talha et al in [14] by taking 𝑓(𝑡) = 𝐶𝑜𝑠(𝜔𝑡) = 0, which validates the attained solution of this work.…”

Section: Solution Of the Velocity Fieldsupporting

confidence: 83%

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Thermophysical Study of Oldroyd-B Hybrid Nanofluid with Sinusoidal Conditions and Permeability: A Prabhakar Fractional Approach

et al. 2022

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The functional implications of substances, such as retardation and relaxation, can be studied for magnetized diffusion coefficient based on the relative increase throughout magnetization is a well-known realization. In this context, we have explored the Oldroyd-B hybrid nanofluid flowing through a pored oscillating plate along with an inclined applied magnetics effect. The slipping effect and sinusoidal heating conditions are also supposed to be under consideration. An innovative and current classification of fractional derivatives, i.e., Prabhakar fractional derivative and Laplace transform, are implemented for the result of transformed leading equations. The graphical representation is also described to understand the physical implementation of all effecting parameters. In order to justify and physically examine the considered problem, some limiting cases, the rate of heat and mass transfer, and friction factors are also analyzed. As a result, we have concluded that the thermal enhancement can be improved more progressively with the interaction of silver-water-based nanofluid suspension compared to copper-nanoparticles mixed nanofluid. Furthermore, It has examined the impact of both parameters, i.e., time relaxation and retardation is opposite of the momentum field.

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Section: Solution Of the Velocity Fieldsupporting

confidence: 83%

“…Iftikhar et al [13] discussed an MHD OBF model based on fractional calculus and submitted essential results. Anwar et al [14] studied an unsteady three-dimensional OBF model with a CF approach and slip conditions. Mburu et al [15] discussed an OBF model with entropy generation and viscous dissipation.…”

Section: Introductionmentioning

confidence: 99%

Thermophysical Study of Oldroyd-B Hybrid Nanofluid with Sinusoidal Conditions and Permeability: A Prabhakar Fractional Approach

et al. 2022

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“…Finally, we get the same solution for velocity and temperature expressions as investigated by Talha et al [45], when f (t) = 0.…”

Section: Limiting Casesmentioning

confidence: 67%

“…Talha Anwar et al [45] recently, discussed the same problem with different boundary conditions and executed the approximated result for the proposed problem by using the Laplace transformation technique and Durbin's numerical algorithm. Based on aforesaid literature, the object of this exploration to develop the fractional model by using the modern interpretation of Caputo-Fabrizio, fractional time derivative operator, then derive the exact solution of the considered problem and accomplish the comparison with obtained results by Talha Anwar et al [45]. The consequences of different related physical parameters, such as relaxation time parameter λ 1 , retardation time parameter λ 2 , grashof number Gr, magnetic field M, α, β fractional parameters and Prandtl number Pr, on non-dimensional velocity and temperature.…”

Section: Introductionmentioning

confidence: 99%

Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach

et al. 2021

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It is well established fact that the functional effects, such as relaxation and retardation of materials, can be measured for magnetized permeability based on relative increase or decrease during magnetization. In this context, a mathematical model is formulated based on slippage and non-slippage assumptions for Oldroyd-B fluid with magnetized permeability. An innovative definition of Caputo-Fabrizio time fractional derivative is implemented to hypothesize the constitutive energy and momentum equations. The exact solutions of presented problem, are determined by using mathematical techniques, namely Laplace transform with slipping boundary conditions have been invoked to tackle governing equations of velocity and temperature. The Nusselt number and limiting solutions have also been persuaded to estimate the heat emission rate through physical interpretation. In order to provide the validation of the problem, the absence of retardation time parameter led the investigated solutions with good agreement in literature. Additionally, comprehensively scrutinize the dynamics of the considered problem with parametric analysis is accomplished, the graphical illustration is depicted for slipping and non-slipping solutions for temperature and velocity. A comparative studies between fractional and non-fractional models describes that the fractional model elucidate the memory effects more efficiently.

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“…Anwar et al [38] generated a fraction model concerning engine oil hybrid nanofluid flow induced due to ramped motion of the vertically inclined wall in the presence of the nanoparticles' shape factor effects by employing the time-fractional Atangana-Baleanu derivative. Anwar et al [39] established a Caputo-Fabrizio fractional model regarding time-dependent hydromagnetic Oldroyd-B fluid flow in the presence of Newtonian heating and slip effects due to involving the nonlinear thermal radiation effect along the normal direction of the infinite vertical plate. Abbas et al [40] queried about heat transport inside the thermal boundary layer region because of the generalized vortex flow of nanofluid past an infinite rotating disk comprising the effects of generalized velocity slip and thermal radiation.…”

Section: Introductionmentioning

confidence: 99%

Radiative heat transport of Cattaneo‐Christov double diffusive Casson nanofluid flow between two rotating disks with Hall current and activation energy

Sahoo,

Nandkeolyar

2023

Z Angew Math Mech

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The present research uncovers the mathematical exploration of the magnetohydrodynamic radiative Casson nanofluid flow produced due to stretching and coaxially rotating surfaces of two disks inside a non‐Darcy porous medium under the dominance of the diacritic Hall current and heat generation. The energy field is displayed under the dominance of radiative and dissipative heat transport by involving the consequences of distinctive nonlinear thermal radiation, viscous dissipation, and Joule heating. The present study overcomes the barrier of heat and mass transport by annexing Cattaneo‐Christov double diffusion effects. The current exploration shows the characteristics of the concentration field due to arising chemical reaction incited by activation energy. A substantive mathematical problem is modeled by assigning nonlinear partial differential equations together with convective boundary conditions. A compatible similarity transformation comprised in the current study is exerted to produce a set of nonlinear ordinary differential equations with competent boundary conditions. The resulting mathematical model is numerically solved via dispensing the SLM. The present article deals with an in‐depth exploration of diagnostic flow parameters' attributes against the flow field and efficient physical quantities with the help of distinctive graphs and tables. As per the current investigation, the energy field becomes potent due to enhancing the stretching of each of the disks. Besides, augmenting the thermophoretic diffusion and chemical reaction boosts diluting the concentration of nanoparticles. The flow along the radial direction gets controlled near the upper disk under the increasing influence of the Hall current, intensity of the magnetic field, and stretching rate of the lower disk. On the other hand, the enlarging Casson parameter, rotation parameter, and stretching parameter for the lower disk lead to controlling the flow along the radial direction adjacent to the lower disk. Apart from that, the intense effects of the stretching rate of the upper disk and rotation rein axial flow throughout the flow region.

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Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model

Cited by 21 publications

References 44 publications

Thermophysical Study of Oldroyd-B Hybrid Nanofluid with Sinusoidal Conditions and Permeability: A Prabhakar Fractional Approach

Thermophysical Study of Oldroyd-B Hybrid Nanofluid with Sinusoidal Conditions and Permeability: A Prabhakar Fractional Approach

Thermophysical Investigation of Oldroyd-B Fluid with Functional Effects of Permeability: Memory Effect Study Using Non-Singular Kernel Derivative Approach

Radiative heat transport of Cattaneo‐Christov double diffusive Casson nanofluid flow between two rotating disks with Hall current and activation energy

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