Impact of an MHD Cattaneo-Christov model for a Williamson fluid flow across a wedge with a convective boundary condition: Homotopy Analysis Method

Mallikarjun, Patil; Umadevi, K. B.

doi:10.1080/01430750.2022.2162964

Cited by 4 publications

(3 citation statements)

References 42 publications

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“…In the current article, the leading equations of highly nonlinear ODE's ( 8)-( 10) along with relevant boundary conditions (11) are determined by a semi-analytical method, namely "OHAM (Optimal Homotopy Analysis Method)" (see references [32][33][34][39][40][41]). The system of OHAM gives the auxiliary linear operators, initial estimates, and base functions of the problem.…”

Section: Methods Of Solution Of the Problemmentioning

confidence: 99%

“…Ramanjini et al [40] studied the unsteady axisymmetric Williamson nanofluid flow in the presence of mixed convection and thermal radiation by optimal homotopy analysis method (OHAM). Mallikarjun and Umadevi [41] examined the OHAM technique on the MHD Cattaneo-Christov model for a Williamson fluid flow across a wedge with a convective boundary condition.…”

Section: Introductionmentioning

confidence: 99%

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Unsteady Prandtl nanofluidic flow through stretching sheet due to mixed convection, first-order slip, and chemical reaction

Ramanjini,

Krishna,

Ramanuja

et al. 2023

J. Nig. Soc. Phys. Sci.

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This article explores the unsteady flow, heat, and mass transport of a Prandtl nanofluid flow over a stretching sheet due to the existence of mixed convection, first-order slip, and chemical reaction. The flow characteristics are analysed for the interaction of thermal and solutal Biot numbers. The system of coupled non-linear leading partial differential equations (PDEs) is converted into non-linear ordinary differential equations (ODEs) with the facilitation of given similarity transformations. Furthermore, these equations are solved by applying a semi-analytical method termed the “Optimal Homotopy Analysis Method” (OHAM) using the computational software MATHEMATICA. The tables and Figures present the numerical computations of the pertinent parameters of the flow problems. The essential findings of this study are for the growing values of the Prandtl parameter, the velocity profile is enhanced, and the temperature profiles show the opposite behaviour. Unsteady parameters reduced the thickness of the heat and moving boundary layers. The temperature profiles are enhanced as the thermal Biot number grows, and similar characteristics can be observed in the solutal Biot number on concentration profiles.

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Section: Methods Of Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unsteady Prandtl nanofluidic flow through stretching sheet due to mixed convection, first-order slip, and chemical reaction

Ramanjini,

Krishna,

Ramanuja

et al. 2023

J. Nig. Soc. Phys. Sci.

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“…Anusha et al [6] investigated twodimensional couple stress hybrid nano fluid over a porous stretching/shrinking sheet which is under the influence of inclined magnetic field and inferred that on addition of copper and alumina nanoparticles to the base fluid, the thermal properties are increased. The impact of the Cattaneo-Christov heat flux model and the convective boundary conditions related to the porous medium on MHD flow for a non-Newtonian Williamson fluid were examined by Mallikarjun and Umadevi [7]. Jena et al [8] assessed radiative heat transfer attributes assuming Cogley radiation.…”

Section: Introductionmentioning

confidence: 99%

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

Ramareddy,

Basawaraj,

Mahabaleshwar

et al. 2024

Z Angew Math Mech

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The current study adopts a Bernoulli wavelet technique to explore the magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid through a wedge. A nanofluid across a wedge has been investigated for its stable laminar MHD flow, heat, and mass transport characteristics. By choosing worthwhile non‐dimensional parameters, the governing boundary layer equation is reformed into a dimensionless Falkner–Skan equation. The consequent nonlinear equation is addressed via the Bernoulli wavelet method. For a range of different values of the physical parameters, the nature of the boundary layer flow is visually observed. Fluid velocity rises with rise in the values of Casson parameter, wedge parameter, and magnetic parameter. Local wall skin friction increases with increase in wedge parameter and magnetic parameter values. To ensure the accuracy of the findings, local wall skin friction is estimated and tested with other techniques that are already reported in the existing research.

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Study on a tangent hyperbolic thermal fluid flow over a porous stretching sheet with a magnetic field and the effect of suction/injection

Prajapati,

Meher

2024

International Journal of Ambient Energy

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Impact of an MHD Cattaneo-Christov model for a Williamson fluid flow across a wedge with a convective boundary condition: Homotopy Analysis Method

Cited by 4 publications

References 42 publications

Unsteady Prandtl nanofluidic flow through stretching sheet due to mixed convection, first-order slip, and chemical reaction

Unsteady Prandtl nanofluidic flow through stretching sheet due to mixed convection, first-order slip, and chemical reaction

An MHD boundary layer flow of Casson fluid due to a moving wedge analyzed by the Bernoulli wavelet method

Study on a tangent hyperbolic thermal fluid flow over a porous stretching sheet with a magnetic field and the effect of suction/injection

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