Electroosmotic slip flow of Oldroyd-B fluid between two plates with non-singular kernel

Awan, Aziz Ullah; Ali, Mukarram; Abro, Kashif Ali

doi:10.1016/j.cam.2020.112885

Cited by 38 publications

(15 citation statements)

References 33 publications

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“…We utilize Laplace transformation for the solutions of the velocity profile given by equation (5). We prefer to apply Laplace transform (9) on equation (5). e resultant form of the above expression is…”

Section: Velocity Profile Via the Caputo-fabrizio Approachmentioning

confidence: 99%

“…As compared to classical models, the memory effect is much stronger in fractional derivatives. From the past to the present, modeling of different processes is handled through various types of fractional derivatives and fractal-fractional differential operators, such as Caputo (power law), Atangana-Baleanu (Mittag-Leffler law), Caputo-Fabrizio (exponential law), Riemann-Liouville, and modified Riemann-Liouville (power law with boundaries) [5][6][7][8][9][10][11][12][13][14][15][16]. Ramped wall velocity and temperature with MHD fluid flow are gaining attention of many researchers.…”

Section: Introductionmentioning

confidence: 99%

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Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators

Saeed

Khan

Riaz

et al. 2020

Journal of Mathematics

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This theoretical study explores the impact of heat generation/absorption with ramp wall velocity and ramp wall temperature on the magnetohydrodynamic (MHD) time-dependent Oldroyd-B fluid over an unbounded plate embedded in a porous surface. The mathematical analysis of fractional governing partial differential equations has been established using systematic and powerful techniques of Laplace transform with its numerical inversion algorithms. The fractionalized solutions have been traced out separately through all fractional differential operators. Nondimensional parameters along with Laplace transformation are used to find the solution of temperature and velocity profiles. Fractional time derivatives are used to analyze the impact of fractional parameters (memory effect) on the dynamics of the fluid. While making a comparison, it is observed that the fractional-order model is the best to explain the memory effect as compared to classical models. The obtained solutions are plotted graphically for different values of physical parameters. Our results suggest that the velocity profile decreases by increasing the effective Prandtl number. Furthermore, the existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity.

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Section: Velocity Profile Via the Caputo-fabrizio Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators

Saeed

Khan

Riaz

et al. 2020

Journal of Mathematics

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show abstract

“…Different mathematical modeling is considered to explain and study such a system. Recent studies showed the activities of mathematical approaches such as nonsingular kernel, 24 unit disk geometry theory, 25 point follow design, 26 and other techniques. 27 The investigation of the entropy group is not only related to engineering usage, but it is additionally significant in numerous functional procedures.…”

Section: Introductionmentioning

confidence: 99%

Raising thermal efficiency of solar water‐pump using Oldroyd‐B nanofluids' flow: An optimal thermal application

Shahzad

Jamshed

et al. 2022

Energy Science & Engineering

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It is well known that solar energy is the main source of thermal energy coming from the sun responsible for huge operations in engineering studies. It can be seen in the technology of photovoltaic cells, solar streetlights, solar energy plates, and solar water pumping. This study is for investigating solar radiation as well as a method to improve the performance of the solar water pump (SWP) with the use of solar radiation along with nanotechnology. The thermal transfer performance of the pump is checked for the case of many impacts including heat radiations and variable thermal conductivity. An Oldroyd‐B nanofluid with entropy production analysis has been scrutinized as a working coolant liquid in the system. Graphene oxide (GO) and Cu nanoparticles have been employed in engine oil (EO) as the base liquid. It is noticed that the heat transfer performance of SWP increases in the case of amplification in thermal radiation and temperature‐dependent thermal conductivity characteristics. In comparison to low thermal conductivity nanofluid, high thermal conductivity nanofluid provides the best capability for heat transmission. The thermal efficiency of the used (GO/EG) nanofluid has been enhanced by between 7.70% and 26.68% than (Cu/EO) nanofluid.

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“…To evaluate the validity of both kernels, Algahtani et al 43 showed the Allen–Cahn model with both CF and AB fractional derivatives to investigate the alterations in the problem. Aziz et al 44 inspected the electroosmotic flow of Oldroyd-B fluid by using Atangana-Baleanu (AB) fractional derivative. In which they solved the Oldroyd-B fluid modal by using non-singular fractional derivative and found the effect of different constraints on fluid velocity and temperature field.…”

Section: Introductionmentioning

confidence: 99%

Transport properties of mixed convective nano-material flow considering the generalized fourier law and a vertical surface: Concept of caputo-time fractional derivative

Raza

Khan

Farid

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part A:

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With improved characteristics and thermal stability, the nanoparticles show a significant interest in many engineering and industrial processes. The applications of nanomaterials include applications in solar energy systems, chemical reactors, heating and cooling processes and many bio-medical applications. With such motivations, this investigation aims to address the mixed convection flow of different nanoparticles due to inclined surface in presence of Newtonian heating and slip effects. Two types of nanoparticles like titanium dioxide and aluminum oxide with water base fluid are used to improve the heat transfer rate. The dimensionless governing partial differential equations for this fractional mathematical modal are accomplished by using Caputo-time fractional derivative and Fourier’s law of thermal conductivity. The generalized solution of energy and momentum equations is conquered by applying the Laplace transformation (LT) scheme. To illustrate some more physical insight of the problem and to develop the novelty of this article some special cases of velocity field are reflected whose physical clarification is well known in the literature. Furthermore, to investigate the physical implication of the under-deliberation problem, the graphical illustrations are performed by using math software MATHEMATICA. The interesting observations claimed from this investigation revealed that the interaction of thermal rate of change is more impressive for aluminium oxide. The temperature and velocity profiles are enhanced by varying the numerical value of the fractional constraint at large time scale.

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Electroosmotic slip flow of Oldroyd-B fluid between two plates with non-singular kernel

Cited by 38 publications

References 33 publications

Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators

Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators

Raising thermal efficiency of solar water‐pump using Oldroyd‐B nanofluids' flow: An optimal thermal application

Transport properties of mixed convective nano-material flow considering the generalized fourier law and a vertical surface: Concept of caputo-time fractional derivative

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