Dynamical Analysis of Radiation and Heat Transfer on MHD Second Grade Fluid

Rehman, Aziz Ur; Riaz, Muhammad Bilal; Saeed, Syed Tauseef; Yao, Shao-Wen

doi:10.32604/cmes.2021.014980

Cited by 16 publications

(6 citation statements)

References 35 publications

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“…Additionally, comparative study for MHD Maxwell fluid, the heat effect, with the application of local and non-local operators is highlighted by Riaz et al [41]. Some other fractional associated references are investigated [42][43][44], dealing with non-integer differential operators, MHD Jeffrey fluid movement, heat transport, and second grade fluid.…”

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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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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“…Furthermore, the same author Riaz et al [41] highlighted the heat effect on MHD Maxwell fluid by using local and nonlocal operators. Some other associated references dealing with fractional differential operators, MHD Maxwell fluid movement, heat emission, or fractional second-grade fluid are given in [42][43][44][45][46][47][48][49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

An Exact and Comparative Analysis of MHD Free Convection Flow of Water-Based Nanoparticles via CF Derivative

Rehman

Riaz

Saeed

et al. 2022

Mathematical Problems in Engineering

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Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is nonuniform due to the variation in temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by a mass transfer process, for instance, condensation, evaporation, and chemical process. Combination of water as base fluid and three types of nanoparticles named as copper, titanium dioxide, and aluminum oxide is taken into account. Due to the applications of the heat and mass transfer combined effects in different fields, the main aim of this paper is to do a comprehensive analysis of heat and mass transfer of MHD natural convection flow of water-based nano-particles in the presence of ramped conditions with Caputo–Fabrizio fractional time derivative. The exact fractional solutions of temperature, concentration, and velocity have been investigated by means of integral transform. The classical calculus is assumed as the instant rate of change of the output when the input level changes. Therefore, it is not able to include the previous state of the system called the memory effect. But, in the fractional calculus (FC), the rate of change is affected by all points of the considered interval to incorporate the previous history/memory effects of any system. Due to this reason, we applied the modern definition of fractional derivative. Here, the order of the fractional derivatives will be treated as an index of memory. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). Our results suggest that the incremental value of the M is observed for a decrease in the velocity field, which reflects to control resistive force.

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“…The thermo-diffusion effects on the time-dependent free convective fluid flow of applying surface modification technology were determined by Kashif [27]. Further relevant studies regarding heat and mass have been studied in detail by: heat transfer approaches via analytical [28][29][30][31][32][33][34][35], numerical [36][37][38][39][40][41], with the application of fractional operators [42][43][44][45] and multi-dimensional [46][47][48][49][50][51] types.…”

Section: Introductionmentioning

confidence: 99%

Functional Effects of Permeability on Oldroyd-B Fluid under Magnetization: A Comparison of Slipping and Non-Slipping Solutions

2021

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In this article, the impact of Newtonian heating in addition to slip effects was critically examined on the unsteady magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid near an infinitely vertical plate. The functional effects such as the retardation and relaxation of materials can be estimated for magnetized permeability based on the relative decrease or increase during magnetization. From this perspective, a new mathematical model was formulated based on non-slippage and slippage postulates for the Oldroyd-B fluid with magnetized permeability. The heat transfer induction was also examined through a non-fractional developed mathematical model for the Oldroyd-B fluid. The exact solution expressions for non-dimensional equations of velocity and temperature were explored by employing Laplace integral transformation under slipping boundary conditions under Newtonian heating. The heat transfer rate was estimated through physical interpretation by considering the limits on the solutions induced by the Nusselt number. To comprehensively discuss the dynamics of the considered problem, the physical impacts of different parameters were studied and reverberations were graphically highlighted and deliberated. Furthermore, in order to validate the results, two limiting models, namely the Maxwell model and the second grade model, were used to compare the relevant flow characteristics. Additionally, in order to perform the parametric analysis, the graphical representation was portrayed for non-slipping and slipping solutions for velocity and temperature.

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Dynamical Analysis of Radiation and Heat Transfer on MHD Second Grade Fluid

Cited by 16 publications

References 35 publications

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

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

An Exact and Comparative Analysis of MHD Free Convection Flow of Water-Based Nanoparticles via CF Derivative

Functional Effects of Permeability on Oldroyd-B Fluid under Magnetization: A Comparison of Slipping and Non-Slipping Solutions

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