Non-singular fractional computations for the radiative heat and mass transfer phenomenon subject to mixed convection and slip boundary effects

Raza, Ali; Ghaffari, Abuzar; Khan, Sami Ullah; Haq, Absar Ul; Khan, M. Ijaz; Khan, M. Riaz

doi:10.1016/j.chaos.2021.111708

Cited by 32 publications

(5 citation statements)

References 17 publications

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“…Qaiser et al [33] investigated the effects of active energy and entropy for nanofluid flow subject to viscous dissipation and cross-diffusion. Some other investigations related to nanofluid flow in different physical situations have been done [33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion

Ahmad,

Nazar,

Ahmad

et al. 2024

Advances in Mathematical Physics

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Thermal diffusion is a phenomenon where the concentration gradient or diffusive flux is created due to the temperature gradient. Thermal diffusion is induced because of the higher temperature and uneven distribution of the mixture. Formally, thermal diffusion is called the Soret effect, and it is a crucial factor in a number of natural occurrences like the separation of isotopes technique of purification. In this research paper, Maxwell fluid’s flow in the vicinage of a flat plate is discussed by considering the effect of the thermodiffusion subject to the first-order slip at the boundary with the application of a constant proportional Caputo (CPC) fractional derivative. The effect of heat generation and radiation is also taken into consideration, as well as the effect of a magnetic field of constant magnitude. The generalized heat and mass fluxes are considered, and this generalization of heat and mass fluxes is done by utilizing the CPC fractional derivative. After converting the current model’s governing equations into a dimensionless form, the temperature, concentration, and velocity fields’ analytical solutions are found. By drawing graphs of the temperature, concentration, and velocity fields for the parametric modifications, the results are graphically illustrated. It becomes clear from the results discussion that the outcomes produced by the constant proportional derivative are more decaying than those obtained with the classical differential operator of order one.

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Section: Introductionmentioning

confidence: 99%

Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion

Ahmad,

Nazar,

Ahmad

et al. 2024

Advances in Mathematical Physics

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“…Daniel et al [16,17] investigated the influence of convective and slip condition in the time-dependent MHD flow of nanofluid across a stretching and shrinking surface in the presence of an electric field, porous medium and heat radiation. Raza et al [18] examined the radiative transport of heat and mass affected by the slip boundary and mixed convection which is computed via non-singular fractional methods. Khan et al [19] checked the influence of the aligned magnetic field, viscous dissipation, and Joule heating, with heat generation/absorption on the slip flow of the nanofluid and computationally analyze the transfer of heat and friction drag.…”

Section: Introductionmentioning

confidence: 99%

The magnetized flow of Newtonian/non‐Newtonian fluid across a curved surface with reaction kinetics and non‐Fourier heat transfer

Khan,

Mao

2024

Z Angew Math Mech

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This study aims to compare the dual solutions of the problem describing the magnetized motion of a Newtonian and second‐grade fluid induced by a curved stretching/shrinking surface using the associations of homogeneous–heterogeneous reaction and Cattaneo–Christov model. The model is further developed using the properties of convective heat transfer, suction velocity, Joule heating, heat source/sink, and viscous dissipation with the porous medium. The relevant transformations are applied to the governing partial differential equations (PDEs) resulting in the system of nonlinear ordinary differential equations (ODEs). The solution technique makes use of the computational scheme in MATLAB known as the bvp4c technique. All relevant findings are obtained using a wide range of dimensionless parameters. The Cattaneo–Christov model and the second‐grade fluid transmits heat faster than the classical Fourier law and Newtonian fluid as well as the heat transfer rate of both fluids was found to drop as the values of Eckert number and curvature parameter enhances. Moreover, the Newtonian fluid has lower friction drag than the second‐grade fluid and the concentration of the bulk fluid is declined by the rising values of hetrogeneous and homogeneous reaction parameter. With potential applications in a variety of engineering fields, including thermal management systems and nanofluid‐based technologies, this work is significant for understanding MHD flow of second‐grade nanofluids over curved surfaces, incorporating heterogeneous reactions and the Cattaneo–Christov model. The results also aid in improving heat transfer efficiency and understanding of fluid behavior under various parameter situations, providing information for improving industrial processes and advanced materials engineering design considerations.

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“…As associated with the ordinary model, the effect of memory is superior in fractional derivatives. Cancer remedies as well as blood movement in veins by MHD and ultraslow diffusion, are the most appropriate submissions of these descriptions in research [32,33]. Convective flow based on ramped wall temperature and non-singular kernel was investigated in [34].…”

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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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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Non-singular fractional computations for the radiative heat and mass transfer phenomenon subject to mixed convection and slip boundary effects

Cited by 32 publications

References 17 publications

Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion

Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion

The magnetized flow of Newtonian/non‐Newtonian fluid across a curved surface with reaction kinetics and non‐Fourier heat transfer

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

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