Analytical solution for differential nonlinear and coupled equations in micropolar nanofluid flow between rotating parallel plates

Talarposhti, R. A.; Asadi, Zohreh; Rezazadeh, Hadi; Ganji, D.D.; Bekir, Ahmet

doi:10.1140/epjst/e2019-900061-2

Cited by 9 publications

(7 citation statements)

References 42 publications

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“…Table 1 lists the approximate values of f η ′( ) for (S, M, A) = (0.1, 0.2, 0.1) and (S, M, A) = (0.4, 2, 1) are compared with those published. 63 For (M, S) = (0.2, 0.1) and various values of A, the approximation of f ″ (1) is presented in Table 2. An increase in A causes an increase in f ″(1), as shown in Table 2 with clarity.…”

Section: Bwm Solutionsmentioning

confidence: 99%

“…However, throughout finding the solution, a few important information counting circular occurrence determination be misplaced. Hence, analytical techniques contain emerged to solve highly nonlinear differential equations, such as the Akbari–Ganji's method, 1 homotopy analysis method, 2 functional variable method, 3 energy balance method, 4 and differential transformation method (DTM), 5,6 the Lattice Boltzmann method 7 . Various types of fluid flow problems have been solved using different numerical methods 8–10 …”

Section: Introductionmentioning

confidence: 99%

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Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Raghunatha

Vinod

2023

Heat Trans

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In this study, a numerical solution of the velocity and heat transfer on the magnetohydrodynamic suction–injection model of viscous fluid flow has been studied. We use the differential transformation method and Bernoulli wavelet method to solve the highly nonlinear governing equations; applying appropriate similarity transformations and reducing governing equations to highly nonlinear coupled ordinary differential equations. The objective of this analysis is to determine how the suction parameter, Hartmann number, squeeze number, thermophoresis parameter, and Prandtl number affect the velocity and temperature profiles. When the current findings are compared with those that have already been published in the literature, confident suppositions are made, and it is discovered that there is considerable agreement. Graphs have been used to discuss the influence of nondimensional characteristics on velocity and temperature.

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Section: Bwm Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Raghunatha

Vinod

2023

Heat Trans

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“…Talarposhti et al [6] have analyzed the micropolar nanofluid flow between two pargallel plates in a rotating system. A numerical simulation for entropy generation due to magnetohydrodynamics (MHD) mixed convective flow of a water-copper nanofluid in a C-shaped cavity with a heated corner was performed by Mansour et al [7] and the authors reported that the outcomes show better thermal performance at low volume fractions and Hartmann numbers.…”

Section: Computational and Theoretical Modeling Of Nanofluidsmentioning

confidence: 99%

Transport properties of nanofluids and applications

Banerjee

Kumar

2019

Eur. Phys. J. Spec. Top.

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Over the past few decades, several researchers have produced a variety of nanofluids that are used as heat transfer fluids in many engineering and technological processes. A nanofluid is a kind of heat transfer fluid, containing nanoparticles (1-100 nm) that are uniformly and stably distributed in a base fluid. Nanoparticles can be metallic/intermetallic compounds, such as Ag, Cu, Ni, Au, Fe, and ceramic compounds such as oxides, sulfides and carbides. Liquids such as water, ethylene glycol, a mixture of water and ethylene glycol, diethylene glycol, polyethylene glycol, engine oil, vegetable oil, paraffin, coconut oil, gear oil, kerosene, and pump oil are used as base fluids. A wide range of applications for nanofluids in different areas have been reported in the literature. These include biomedical applications, lubrication, surface coating, petroleum processing, environmental remediation, and cooling systems for electronics.

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“…In literature, there are different mathematical techniques to solve such nonlinear differential equations and some of them are highly time consuming techniques. Hence, semi-analytical and numerical techniques contain emerged to solve highly nonlinear differential equations such as the homotopy analysis method, 1 homotopy analysis Sumudu transform method, 2 homotopy perturbation method, 3 variational iteration method, 4 q-homotopy analysis transform method, 5 energy balance method, 6 the new extended direct algebraic method, 7 homotopy analysis transform method, 8 differential transformation method, 9 exp-function method, 10 Akbari-Ganji's method, 11 Runge-Kutta fourth-order integration scheme with the shooting technique, 12 finite difference method, 13 and Hermite wavelet technique. 14 Let G be a graph that is free from multi edges and loops.…”

Section: Introductionmentioning

confidence: 99%

Study of special types of boundary layer natural convection flow problems through the clique polynomial method

Kumbinarasaiah

Raghunatha

2021

Heat Trans

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This study proposed a new novel approach called the clique polynomial method (CPM) and applied it to the system of highly nonlinear ordinary differential equations (ODEs) associated with different cases of boundary layer natural convection fluid flow problems. Here, three specific problems are considered: (1) laminar film condensation of a fluid-saturated flow with isothermal vertical plate; (2) natural convection boundary layer fluid flow; and (3) heat transfer boundary layer flow due to a stretching sheet. CPM results, which do not need small parameters, are compared with numerical results, and the outcomes are established to be in good agreement. The CPM is hugely proficient and a sensible choice for finding outcomes to this type of coupled nonlinear ODEs. The work is in outstanding accord for coupled nonlinear ODEs in engineering applications.

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Analytical solution for differential nonlinear and coupled equations in micropolar nanofluid flow between rotating parallel plates

Cited by 9 publications

References 42 publications

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Effects of heat transfer on MHD suction–injection model of viscous fluid flow through differential transformation and Bernoulli wavelet techniques

Transport properties of nanofluids and applications

Study of special types of boundary layer natural convection flow problems through the clique polynomial method

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