A thermal optimization throughan innovative mechanism of free convection flow of Jeffrey fluid using non-local kernel

Awan, Aziz Ullah; Ali, Qasim; Riaz, Samia; Chung, Jae Dong

doi:10.1016/j.csite.2021.100851

Cited by 19 publications

(9 citation statements)

References 41 publications

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“…when α = 1, equation (11) takes the form of Fourier law and c D α t 1 denotes the CTFD operator, 19 which is…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…Utilizing equations ( 12) and ( 13), the following characteristics of the CTFD operators 19 can be obtained:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…An excellent work on natural convection nanofluid flow with fractional calculus was examined in reference. 18 Awan et al 19 discussed the viscous fluid by integral transforms and Fourier law.…”

Section: Introductionmentioning

confidence: 99%

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Modeling and computation of nanofluid for thermo-dynamical analysis between vertical plates

Riaz

Ali

Khanam

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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It is well fact that the computational complexity of unsteady and viscoelastic nanofluid can be measured by mathematical modeling that allows the suitable performance for variations from specific to particular rheological parameters. This manuscript addresses the fractionalized mathematical modeling of an unsteady incompressible Maxwell transient free convection flow of nanofluids in the existence of radiation as well as damped thermal flux by using the Caputo time-fractional derivative. The integral transform technique is invoked on the fractionalized governing equations to find the exact solution. The numerical solution to the problem is also attained by utilizing Stehfest and Tzou algorithms. Finally, for the sake of graphical illustration, the comparative analysis for validating both algorithms on velocity and temperature profiles is performed numerically. The temperature and velocity curves are reduced by growing α for small time, and behavior is contrary for large time. By growing values of [Formula: see text] declines the velocity profiles. Velocity is linearly proportional to relaxation time λ, and the boundary layer difference is decreased by increasing the time. Our achieved solutions via two different numerical methods, that is, Stehfest and Tzou are equal.

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“…when α = 1, equation (11) takes the form of Fourier law and c D α t 1 denotes the CTFD operator, 19 which is…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…Utilizing equations ( 12) and ( 13), the following characteristics of the CTFD operators 19 can be obtained:…”

Section: Statement Of the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Modeling and computation of nanofluid for thermo-dynamical analysis between vertical plates

Riaz

Ali

Khanam

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part E:

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“…Zeeshan and Majeed [34] investigated the impact of the magnetic dipole efect on the Jefrey fuid convective fow through a porous plate with suction and injection. In [35,36], there exist a number of interesting recent studies.…”

Section: Introductionmentioning

confidence: 99%

“…Due to its wide applications, many researchers are attracted to adopt this model in their studies. Awan et al [38] investigated the heat transfer characteristics of the free convection fow of the Jefrey fuid between two vertical plates, which are either stable or unstable. Te mechanism for heat transmission is created using a generalized and fractional variant of Fourier's equation that provides damping for thermal fux.…”

Section: Introductionmentioning

confidence: 99%

A Generalized Two‐Phase Free Convection Flow of Dusty Jeffrey Fluid between Infinite Vertical Parallel Plates with Heat Transfer

Khan

Asogwa²,

Alqahtani

et al. 2022

Journal of Mathematics

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In blood flow and fluid mechanics, Jeffrey fluid has a vital role because of its viscoelastic characteristics. The application of Caputo–Fabrizio time-fractional derivatives for dusty-type Jeffrey fluid is discussed in this article. The concept of free convection flow of dusty Jeffrey fluid between infinite vertical parallel static plates is generalized. Free convection and buoyant force produce the flow. Furthermore, the fluid contains homogeneous dispersion of all spherical dust particles. Heat transmission is therefore taken into account for free convection. Nondimensional variables are used to write the dusty Jeffrey fluid classical model in dimensionless form. Also, the dimensionless model is transformed into a generalized dusty Jeffrey fluid model via a fractional derivative. Using the finite sine and Laplace method, the governing equations of the generalized dusty Jeffrey fluid model have been solved exactly. Numerical computation is used to study the physics of velocity and temperature profiles for a variety of embedded parameters. The collected results are discussed in detail and are shown graphically in this report. Mathcad-15 is used to plot the graphical outcomes for Jeffrey fluid, dust particle, and temperature profiles. Furthermore, skin friction and the Nusselt number are calculated. Table demonstrates how the rate of heat transmission reduces as the Peclet number’s value rises. Similarly, Table demonstrates that skin friction increases as the fractional parameter rises. By increasing the dusty Jeffrey fluid parameter λ , both velocity profiles are retarded.

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A scientific report of singular kernel on the rate-type fluid subject to the mixed convection flow

et al. 2022

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The response of inhomogeneous fluids whose material properties are strongly interconnected with mean normal stress and shear rate; such phenomenon undergo to rate constitutive type theories within thermodynamical aspects. In this context, the thermodynamic approach for modeling a class of viscoelastic fluids so-called Oldroyd-B fluid is investigated through a singular kernel. This is because, role of the singular kernel has become imperative due to the wide applications of rate type fluid subject to the mixed convection flow. To have the systematical and molecular dynamics of Oldroyd-B fluid, the temperature distribution, velocity profile and Nusslet numbers have been explored by invoking the Laplace transform on the governing equations. Owing to the strengthening of physical parameters, the enhancement of convective heat transfer is emphasized based on relaxation as well as retardation phenomenon. Additionally, the evaluation of thermal and flow characteristics of Oldroyd-B fluid have resulted in discovering more evolutionary mechanisms of the considered problem of rate type fluid subject to the mixed convection flow.

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A thermal optimization throughan innovative mechanism of free convection flow of Jeffrey fluid using non-local kernel

Cited by 19 publications

References 41 publications

Modeling and computation of nanofluid for thermo-dynamical analysis between vertical plates

Modeling and computation of nanofluid for thermo-dynamical analysis between vertical plates

A Generalized Two‐Phase Free Convection Flow of Dusty Jeffrey Fluid between Infinite Vertical Parallel Plates with Heat Transfer

A scientific report of singular kernel on the rate-type fluid subject to the mixed convection flow

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