Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition

Riaz, Muhammad Bilal; Saeed, Syed Tauseef

doi:10.3934/dcdss.2020430

Cited by 14 publications

(4 citation statements)

References 25 publications

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“…Convective flow based on ramped wall temperature and non-singular kernel was investigated in [34]. Furthermore, researchers [35] deliberated the inclusive report on MHD OBF with diverse boundary conditions. Lately, Riaz et al [10] have examined the character of no-local and local kernels based on magnetic OBF slip flow.…”

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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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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“…They used the homotopy analysis method to calculate the governing equation and Mathematica software (Wolfram Mathematica, New Jersey, NJ, United State) to provide a graphical illustration of the velocity gradient, temperature, and concentration gradient of the Casson model. Although research on the Casson model is ongoing, we include some related studies based on heat transfer [25][26][27][28][29], fractional models of fluids with magnetic field [30][31][32][33][34][35][36][37][38][39][40], and some others [41][42][43][44][45][46][47][48][49][50][51][52][53][54] herein. Motivated by the above discussion, we analyzed an analytic solution of incompressible and magnetic Casson fluid subjected to temperature and concentration dependence within a porous-surfaced plate.…”

Section: Introductionmentioning

confidence: 99%

Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

et al. 2021

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Dynamic analysis of magnetic fluids with the combined effect of heat sink and chemical reactions based on their physical properties demonstrates strong shock resistance capabilities, low-frequency response, low energy consumption, and high sensitivity. Therefore, the applied magnetic field always takes diamagnetic, ferromagnetic, and paramagnetic forms. The influence of radiation is considered in the temperature profile. This manuscript investigates an analytic solution of incompressible and magnetic Casson fluid in Darcy’s medium subjected to temperature and concentration dependence within a porous-surfaced plate with generalized boundary conditions. The substantial mathematical technique of the Laplace transform with inversion is invoked in the governing equations of the magnetic Casson fluid. The analytic results are transformed into a special function for the plate with a constant velocity, a plate with linear velocity, a plate with exponential velocity, and a plate with sinusoidal velocity. Graphical illustrations of the investigated analytic solutions at four different times are presented. Our results suggest that the velocity profile decreases by increasing the value of the magnetic field, which reflects the control of resistive force. The Nusselt number remains constant at a fixed Rd and is reduced by raising the Rd value.

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“…In the market, the competition is intensifying, the country's emission requirements are getting higher and higher, the engine upgrading is being accelerated, and many engine models are launched every year. The development of new products requires the addition of new equipment or a new production line of [1][2].…”

Section: Introductionmentioning

confidence: 99%

Manufacturing of Automobile Engine Crankshaft Dependent on Computational Fluid Mechanics

2021

KME

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Crankshaft is one of the most important components of the engine, its function is to summarize the reciprocating work of each cylinder piston, and in the form of rotating motion on the flywheel, and then output work, this paper aims to study the manufacturing and application of automobile engine crankshaft relying on computational fluid mechanics. In this paper, we first analyze the crankshaft structure using fluid mechanics. It focuses on several issues that are not currently yet agreed upon in crankshaft manufacturing, and on the process of detecting and incorporating multi-source information related to the remanufacturing process. Secondly, one of the key techniques, quality analysis and process parameter optimization based on nonlinear multivariate fitting, is deeply explored. We thoroughly study quality analysis based on multivariate nonlinear multivariate fitting and methods to optimize process parameters. The effect of the control parameters on the crankshaft performance is also analyzed. As an example, the effect of the spindle circularity and the crankshaft curvature on the final radial slip mass of the crankshaft is investigated. Based on constructing an uncertainty measurement model of the main crankshaft circularity and the crankshaft curvature, a nonlinear multivariate model is developed to illustrate the effect of the uncertainty on the radial flow of the heavy crankshaft. A batch of actually produced crankaxes was used as an example to study the effectiveness of the model. The experiment proved that the algorithm can increase the production qualified rate to about 85%.

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Comprehensive analysis of integer-order, Caputo-Fabrizio (CF) and Atangana-Baleanu (ABC) fractional time derivative for MHD Oldroyd-B fluid with slip effect and time dependent boundary condition

Cited by 14 publications

References 25 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

Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

Manufacturing of Automobile Engine Crankshaft Dependent on Computational Fluid Mechanics

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