Nonlinear movements of axisymmetric ternary hybrid nanofluids in a thermally radiated expanding or contracting permeable Darcy Walls with different shapes and densities: Simple linear regression

Raju, C. S. K.; Ahammad, N. Ameer; Sajjan, Kiran; Shah, Nehad Ali; Yook, Se-Jin; Kumar, M. Senthil

doi:10.1016/j.icheatmasstransfer.2022.106110

Cited by 90 publications

(17 citation statements)

References 31 publications

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“…Further, it is seen that the rate of heat transfer is augmented for the heat absorption parameter, radiation parameter, and thermal slip parameter but the reverse trend is observed for viscous dissipation and unsteadiness parameters. Raju et al [ 47 ] studied the ternary hybrid nanofluid flow over a stretching permeable Darcy wall. It is observed that in the case of Graphene, carbon nanotubes, and aluminum oxide the heat transfer rate is higher than that of copper, silver, and copper oxide whereas the reverse trend is observed for velocity distribution.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric boundary layer slip flow with heat transfer over an exponentially stretching bullet-shaped object: A numerical assessment

Ali

Nasrin

Alim

2023

Heliyon

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Section: Introductionmentioning

confidence: 99%

Axisymmetric boundary layer slip flow with heat transfer over an exponentially stretching bullet-shaped object: A numerical assessment

Ali

Nasrin

Alim

2023

Heliyon

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“…Despite the significance of finding the precise solution of nonlinear PDEs in Engineering and applied mathematics, the challenge of developing new techniques to identify new exact or approximate solutions persists [1,2]. Several numerical methods [3][4][5][6][7][8][9][10] are evolved and used in appropriate combinations by the researchers to provide the most approximate solutions when drawing analytical solutions to these problems is impossible.…”

Section: Introductionmentioning

confidence: 99%

A new graph-theoretic approach for the study of the surface of a thin sheet of a viscous liquid model

2023

Self Cite

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In this study, we considered the model of the surface of a thin sheet of viscous liquid which is known as the Buckmaster Equation (BME), and presented a new graph-theoretic polynomial collocation method named the Hosoya polynomial collocation method (HPCM) for the solution of nonlinear Buckmaster equation. In the literature, the majority of the developed numerical methods considered small time step sizes like 0.01s and 0.05s to obtain relatively accurate approximations for the nonlinear BME. This study focused on optimizing the time step sizes by adopting bigger time steps sizes like 1.0s,3.0s, and 5.0s, etc. without adversely affecting accuracy. First, using the Gram- Schmidt process, we generated the orthonormal functions from the Hosoya polynomial of the path graph. Then developed the functional integration matrix using orthonormal Hosoya polynomials of path graphs. With this active matrix-involved method, the nonlinear BMEs are transformed into a system of nonlinear equations and solved the equations by Newton's method through the Mathematica software for unknown coefficients. The exactness of the proposed strategy is tested with two numerical examples. The acquired results contrasted with the current analytical solutions to these problems. Also provided the convergence analysis, comparison of error norms, graphical plots of correlation of HPCM results, and the results of other numerical methods in the literature to validate the productivity and accuracy of the newly developed HPCM.

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“…Recent research, exemplified by Bar-Cohen’s encyclopedia [ 5 ], focuses on fluid dynamics, thermal analyses, and optimization techniques for designing efficient microchannel flow passages. Additionally, researchers are exploring more efficient microchannel designs to handle high-density heat fluxes, such as two-phase flows (particle–liquid or liquid–vapor) and critical heat flux phenomena, using nanofluids in cooling systems [ 6 , 7 , 8 ]. Thome [ 9 ] provides insights into these cutting-edge research topics in the electronics sector.…”

Section: Introductionmentioning

confidence: 99%

Simulations of Flows via CFD in Microchannels for Characterizing Entrance Region and Developing New Correlations for Hydrodynamic Entrance Length

Ray

Das

2023

Micromachines

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Devices with microchannels are relatively new, and many correlations are not yet developed to design them efficiently. In microchannels, the flow regime is primarily laminar, where entrance length may occupy a significant section of the flow channel. Therefore, several computational fluid dynamic simulations were performed in this research to characterize the developing flow regime. The new correlations of entrance length were developed from a vast number of numerical results obtained from these simulations. A three-dimensional laminar flow for 37 Reynolds numbers (0.1, 0.2, …, 1, 2, …, 10, 20, …, 100, 200, …, 1000), primarily in low regime with water flow through six rectangular microchannels (aspect ratio: 1, 0.75, 0.5, 0.25, 0.2, 0.125), has been modeled, conducting 222 simulations to characterize flow developments and ascertain progressive velocity profile shapes. Examination of the fully developed flow condition was considered using traditional criteria such as velocity and incremental pressure drop number. Additionally, a new criterion was presented based on fRe. Numerical results from the present simulations were validated by comparing the fully developed velocity profile, friction factor, and hydrodynamic entrance length for Re > 100 in rectangular channels, for which accurate data are available in the literature. There is a need for hydrodynamic entrance length correlations in a low Reynolds number regime (Re < 100). So, the model was run numerous times to generate a vast amount of numerical data that yielded two new correlations based on the velocity and fRe criteria.

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Nonlinear movements of axisymmetric ternary hybrid nanofluids in a thermally radiated expanding or contracting permeable Darcy Walls with different shapes and densities: Simple linear regression

Cited by 90 publications

References 31 publications

Axisymmetric boundary layer slip flow with heat transfer over an exponentially stretching bullet-shaped object: A numerical assessment

Axisymmetric boundary layer slip flow with heat transfer over an exponentially stretching bullet-shaped object: A numerical assessment

A new graph-theoretic approach for the study of the surface of a thin sheet of a viscous liquid model

Simulations of Flows via CFD in Microchannels for Characterizing Entrance Region and Developing New Correlations for Hydrodynamic Entrance Length

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