Fuzzy Analysis for Thin-Film Flow of a Third-Grade Fluid Down an Inclined Plane

Siddique, Imran; Jamil, Raja Noshad; Nadeem, Muhammad; Khalifa, Hamiden Abd El-Wahed; Alotaibi, Fakhirah; Khan, Ilyas; Andualem, Mulugeta

doi:10.1155/2022/3495228

Cited by 9 publications

(2 citation statements)

References 42 publications

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“…Sequel to the prospect and usefulness of nanofluids, [26] explained the rising effects of Brownian motion and thermo-migration on the dynamics of water conveying three different shapes of nanoparticles. In the same approach, we recommend that you expatiate on [27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Non-Newtonian Tangent Hyperbolic Liquids Conveying Tiny Particles on Objects with Variable Thickness when Lorentz Force and Thermal Radiation are Significant

Nadeem

Siddique²,

Ali³

et al. 2022

Front. Phys.

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The flow via needle has prominent applications in the modern world such as nano-wires, microstructure electric gadgets, microsensors, surgical instruments and biological treatments. The present investigation focuses on boundary layer heat, flow, and mass transfer of MHD tangent hyperbolic fluid (conveying tiny particles) via a thin needle under the impacts of activation energy, non-constant thermal conductivity, heat source, and nonlinear thermal radiation. In the description of the Buongiorno model, the significant features of Brownian motion and thermophoresis have been included. Adopting appropriate transformations to the given problem specified by the set of partial differential equations yields the dimensionless form of ordinary differential equations After that, these obtained ODEs are solved numerically via MATLAB bvp4c. A comparative result with previous findings is conducted. Physical parameters’ impact on flow rate, heat, and concentration is exhibited and explained in depth. The main findings of this study are that flow patterns reduce as the magnetic parameter and the Weissenberg number grow. Higher values of Brownian motion, heat source/sink, nonlinear radiation, and thermophoretic parameter improve the thermal profile. Moreover, the rate of heat transfer for the variable property case is significantly improved. Concentration profiles reduce as the thermophoresis parameter and chemical reaction parameter grow but improve as the activation energy and Brownian motion parameter rise. The percentage increase in Sherwood number is 35.07 and 5.44 when the thermophoresis takes input in the range 0 ≤ Nt ≤ 0.2 and activation energy parameters 0 ≤ E ≤ 0.2. The Weissenberg number and power-law index parameters are all designed to boost the Sherwood number.

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Section: Introductionmentioning

confidence: 99%

Dynamics of Non-Newtonian Tangent Hyperbolic Liquids Conveying Tiny Particles on Objects with Variable Thickness when Lorentz Force and Thermal Radiation are Significant

Nadeem

Siddique²,

Ali³

et al. 2022

Front. Phys.

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“…The results for this method gave a smooth solution. Siddique et al, [22] adopted the fuzzy perturbation method to compute the solution of the flow problem of thin films at an inclined plane in a fuzzy environment. Sarwani et al, [23] specified a formula for calculating the biodiesel's specific energy emission rate (g/km) based on the volumetric emissions percentage.…”

Section: Introductionmentioning

confidence: 99%

A Mathematical Model for the Velocity of Thin Film Flow of a Third Grade Fluid Down in an Inclined Plane

Hassan¹,

Al-Saif²

2023

ARFMTS

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In this paper, a new technique to solve a mathematical model of thin film flow of third- grade fluid in an inclined plane is presented. This technique is based on combining the homotopy perturbation method with the Laplace transform and Pade´ approximation approach. The results we obtained showed that the proposed technique has high accuracy than other classical methods to solve this model. The measurements of error are tabulated. the validity and usefulness of the new method are derived. Moreover, the influence of parameters on the velocity profile is discussed graphically.

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Contra-hormonic generalized fuzzy numerical scheme for solving mechanical engineering problems

Kausar,

Garg

2024

J. Appl. Math. Comput.

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Fuzzy Analysis for Thin-Film Flow of a Third-Grade Fluid Down an Inclined Plane

Cited by 9 publications

References 42 publications

Dynamics of Non-Newtonian Tangent Hyperbolic Liquids Conveying Tiny Particles on Objects with Variable Thickness when Lorentz Force and Thermal Radiation are Significant

Dynamics of Non-Newtonian Tangent Hyperbolic Liquids Conveying Tiny Particles on Objects with Variable Thickness when Lorentz Force and Thermal Radiation are Significant

A Mathematical Model for the Velocity of Thin Film Flow of a Third Grade Fluid Down in an Inclined Plane

Contra-hormonic generalized fuzzy numerical scheme for solving mechanical engineering problems

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