Fractional-order three-dimensional thin-film nanofluid flow on an inclined rotating disk

Gul, Taza; Khan, Muhammad Altaf; Khan, Amer Hayat; Shuaib, Muhammad

doi:10.1140/epjp/i2018-12315-4

Cited by 41 publications

(24 citation statements)

References 33 publications

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“…The optimal approach is used for the solution process. Equations (9) to (14) with boundary conditions (15) are solved by HAM. Mathematica software is used for this aim.…”

Section: Solution By Homotopy Analysis Methodsmentioning

confidence: 99%

“…The modelled Equations (9) to (14) with boundary conditions (15) are solved analytically as well as numerically. The comparison between the analytical and numerical solution is shown graphically as well as numerically in Tables 1-6 for the velocities, temperature, and concentration profiles.…”

Section: Solution By Homotopy Analysis Methodsmentioning

confidence: 99%

“…Gul et al [15] studied the heat and mass transfer analysis of a liquid film over an inclined plane. They compared integer and non-integer order results under the influence of embedded parameters.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Casson Nanofluid Thin Film Flow over an Inclined Rotating Disk with the Impact of Heat Generation/Consumption and Thermal Radiation

et al. 2019

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In this research, the three-dimensional nanofluid thin-film flow of Casson fluid over an inclined steady rotating plane is examined. A thermal radiated nanofluid thin film flow is considered with suction/injection effects. With the help of similarity variables, the partial differential equations (PDEs) are converted into a system of ordinary differential equations (ODEs). The obtained ODEs are solved by the homotopy analysis method (HAM) with the association of MATHEMATICA software. The boundary-layer over an inclined steady rotating plane is plotted and explored in detail for the velocity, temperature, and concentration profiles. Also, the surface rate of heat transfer and shear stress are described in detail. The impact of numerous embedded parameters, such as the Schmidt number, Brownian motion parameter, thermophoretic parameter, and Casson parameter (Sc, Nb, Nt, γ), etc., were examined on the velocity, temperature, and concentration profiles, respectively. The essential terms of the Nusselt number and Sherwood number were also examined numerically and physically for the temperature and concentration profiles. It was observed that the radiation source improves the energy transport to enhance the flow motion. The smaller values of the Prandtl number, Pr, augmented the thermal boundary-layer and decreased the flow field. The increasing values of the rotation parameter decreased the thermal boundary layer thickness. These outputs are examined physically and numerically and are also discussed.

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“…The optimal approach is used for the solution process. Equations (9) to (14) with boundary conditions (15) are solved by HAM. Mathematica software is used for this aim.…”

Section: Solution By Homotopy Analysis Methodsmentioning

confidence: 99%

Section: Solution By Homotopy Analysis Methodsmentioning

confidence: 99%

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Three-Dimensional Casson Nanofluid Thin Film Flow over an Inclined Rotating Disk with the Impact of Heat Generation/Consumption and Thermal Radiation

et al. 2019

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“…Diethelm et al [32] found the convergence and validity of this method for the solution of fractional order differential equations. The solution for classical and fractional order mathematical models containing (SWCNT/MWCNT) water-based nanofluids was obtained through the solution for fractional order systems, which was solved by the Adams-type predictor corrector method as used in References [33,34]. The range of the parameters in this study were selected as per the investigation by Gul et al [35] using the BVP 2.0 package and the Optimal Homotopy Analysis Method OHAM technique.…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Forced Convection Carbon Nanotube Nanofluid Flow Passing Over a Thin Needle

et al. 2019

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In the fields of fluid dynamics and mechanical engineering, most nanofluids are generally not linear in character, and the fractional order model is the most suitable model for representing such phenomena rather than other traditional approaches. The forced convection fractional order boundary layer flow comprising single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs) with variable wall temperatures passing over a needle was examined. The numerical solutions for the similarity equations were obtained for the integer and fractional values by applying the Adams-type predictor corrector method. A comparison of the SWCNTs and MWCNTs for the classical and fractional schemes was investigated. The classical and fractional order impact of the physical parameters such as skin fraction and Nusselt number are presented physically and numerically. It was observed that the impact of the physical parameters over the momentum and thermal boundary layers in the classical model were limited; however, while utilizing the fractional model, the impact of the parameters varied at different intervals.

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“…However, some new emerging NDT technologies, such as in-process monitoring, in situ sensors, and embedded sensors, are rapidly becoming an influential aspect of composite structure applications [1]. The matrix cure monitoring and control of composite structures can assure fewer defects and better quality in the final products [1,[15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Since the introduction of composites and bonding in airframe structures, a number of destructive and nondestructive inspections are usually performed in order to ensure quality and structural integrity.…”

Section: Introductionmentioning

confidence: 99%

Performance analysis of impact-damaged laminate composite structures for quality assurance

Alarifi

Movva

Rahimi‐Gorji

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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Composite materials are gradually replacing metals and other materials and are being used in almost all industries with a wide range of product streams. As the requirements for composite structures for aerospace, automobile, marine, and many other industries develop, the testing requirements for destructive testing (DT) and nondestructive testing (NDT) of composites also change. Improper manufacturing parameters and impact damage during service result in major defects in composite structures. Among the many defects that occur, voids are the most crucial in composite structures. Flaws have the potential to adversely affect performance, to the extent that the structure or component cannot operate under optimal service conditions. Nondestructive and destructive testing and inspection of composite structures for manufacturing and in-service damage detection have fueled the demand for a variety of techniques to assure quality during manufacturing and to detect flaws during service. In this study, composite panels with different porosity levels were subjected to nondestructive tests: ultrasonic testing (C-scan, A-scan), tap hammer, and visual inspection techniques. Destructive testing-burnout, acid digestion, ignition loss, and image void analysis techniques-was also employed to ascertain flaws in composite structures. The test parameters were analyzed and optimized in order to achieve maximum possible error data of voids, and a comparison was made between destructive and nondestructive testing methods. These studies indicated that the DT and NDT are extremely useful tools for the reliable and confident manufacturing of composite panels.

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Fractional-order three-dimensional thin-film nanofluid flow on an inclined rotating disk

Cited by 41 publications

References 33 publications

Three-Dimensional Casson Nanofluid Thin Film Flow over an Inclined Rotating Disk with the Impact of Heat Generation/Consumption and Thermal Radiation

Three-Dimensional Casson Nanofluid Thin Film Flow over an Inclined Rotating Disk with the Impact of Heat Generation/Consumption and Thermal Radiation

Fractional Order Forced Convection Carbon Nanotube Nanofluid Flow Passing Over a Thin Needle

Performance analysis of impact-damaged laminate composite structures for quality assurance

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