Effect of heat transfer on Jeffery–Hamel Cu/Ag–water nanofluid flow with uncertain volume fraction using the double parametric fuzzy homotopy analysis method

Verma, Lalchand; Meher, Ramakanta

doi:10.1140/epjp/s13360-022-02586-x

Cited by 31 publications

(6 citation statements)

References 30 publications

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“…This section discusses the simulation results of the velocity and temperature profiles of the nano fluid obtained using a homotopy analysis method 43 . The nonlinear operator can be defined as follows: and for linear operator , we can write with the property …”

Section: Solution With Hammentioning

confidence: 99%

“…Berrehal and Sowmya 42 Utilized SHAM to study the heat transfer of Copper-Silver/water nanofluid flow in convergent and divergent channels and found that when the volume proportion of nanoparticles grew, the velocity profile reduced, but the fluid’s heat transmission in a channel increased. Verma and Meher 43 have discussed the heat transfer of Cu/Ag nanofluid with fuzzy volume fractions and observed that the heat transfer decreases with increases in the volume fraction in the convergent channel. Still, heat transfer increases with the volume fraction in the divergent channel.…”

Section: Introductionmentioning

confidence: 99%

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Effect of heat transfer on hybrid nanofluid flow in converging/diverging channel using fuzzy volume fraction

Verma

Meher

Hammouch

et al. 2022

Sci Rep

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This work explores the magneto-hydrodynamics (MHD) Jeffery–Hamel nanofluid flow between two rigid non-parallel plane walls with heat transfer by employing hybrid nanoparticles, especially Cu and Cu-Al$$_{2}$$ 2 O$$_{3}$$ 3 . Here the MHD nanofluid flow problem is extended with fuzzy volume fraction and heat transfer with diverse nanoparticles to cover the influence of thermal profiles with hybrid nanoparticles on the fuzzy velocity profiles. The nanoparticle volume fraction is described with a triangular fuzzy number ranging from 0 to $$5\%$$ 5 % . A novel double parametric form-based homotopy analysis approach is considered to study the fuzzy velocity and temperature profiles with hybrid nanoparticles in both convergent and divergent channel positions. Finally, the efficiency of the proposed method has been demonstrated by comparing it with the available results in a crisp environment for validation.

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Section: Solution With Hammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of heat transfer on hybrid nanofluid flow in converging/diverging channel using fuzzy volume fraction

Verma

Meher

Hammouch

et al. 2022

Sci Rep

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“…For abating the complexity while reproducing the solutions of fuzzy fractional problems, different type of transforms are used with HAM. For solving fuzzy fractional differential equations, double parametric approach in q-HAShTM have been used in [29,30], which was introduced by Verma and Meher [28]. The main advantage of q-HAShTM is not just reducing the problem's complexity, but it gives a free hand to choose the values of two controlling parameters, namely, h and n for faster convergence of the solutions.…”

Section: Introductionmentioning

confidence: 99%

Study on Temporal-Fuzzy Fractional P-KDV Equation With Non-Singular Mittag Leffler Kernel

Kumar,

Meher

2024

Mathematical Modelling and Analysis

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This work discusses the solution of temporal-fuzzy fractional non-linear p-KdV equations employing a singular kernel and a non-singular Mittag Leffler kernel. A novel q-homotopy analysis approach with a generalised transform is proposed to study the fuzzy time-fractional model with two distinct fractional operators, and the behaviour of the solution is studied in both crisp and uncertain cases. Consequently, the efficiency and accuracy of the proposed method have been obtained by comparing the obtained numerical results with the available results under the assumption of crisp case for α = 1 that validate the obtained results. Finally, the efficiency of the proposed fractional orders is checked with distinct fractional operators.

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“…Some of its applications have been discussed in many real-life scenarios, such as medicine [10], components of the golden means [11] and practical schemes [12]. There are several research on precognition fuzzy and their application in fuzzy controls [13], Ralescu [14], Dubois and Prade [15], Allahviranloo [16], and Verma and Meher [17]. In data analysis, it is quite challenging to portray several situations using statistics accurately [18,19].…”

Section: Introductionmentioning

confidence: 99%

Numerical approach on time-fractional Sawada-Kotera equation based on fuzzy extension of generalized dual parametric homotopy algorithm

Al-Saedi,

Verma,

Meher

et al. 2024

Phys. Scr.

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‎This paper considers a fuzzy nonlinear fifth-order time-fractional Sawada-Kotera equation with a singular kernel and a non-singular Mittag-Leffler kernel‎. ‎The proposed fractional differential equation is discussed with the Caputo and ABC fractional derivative under strongly generalized results and with fuzzy modelling‎. ‎A novel double parametric approach‎, ‎i.e.‎, ‎q-homotopy analysis generalized transform method (q-HAGTM)‎, ‎is considered to find the solution of the proposed model with Caputo and ABC fractional derivatives‎. ‎The problem's uniqueness and convergence analysis are investigated using Banach's fixed point theorem‎. ‎Finally‎, ‎the numerical results have been validated by comparing them with the available results in Caputo and ABC sense under strongly generalized derivatives in the crisp case‎.

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Effect of heat transfer on Jeffery–Hamel Cu/Ag–water nanofluid flow with uncertain volume fraction using the double parametric fuzzy homotopy analysis method

Cited by 31 publications

References 30 publications

Effect of heat transfer on hybrid nanofluid flow in converging/diverging channel using fuzzy volume fraction

Effect of heat transfer on hybrid nanofluid flow in converging/diverging channel using fuzzy volume fraction

Study on Temporal-Fuzzy Fractional P-KDV Equation With Non-Singular Mittag Leffler Kernel

Numerical approach on time-fractional Sawada-Kotera equation based on fuzzy extension of generalized dual parametric homotopy algorithm

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