MHD flows on irregular boundary over a diverging channel with viscous dissipation effect

Iyyappan, G.; Singh, Abhishek Kumar

doi:10.1108/hff-06-2020-0368

Cited by 7 publications

(1 citation statement)

References 36 publications

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“…Erdinç [18] examined numerically the fow and heat transfer in dealing with divergent and convergent channels. Recently, Iyyappan and Singh [19] and Banerjee et al [20] have conducted research on diverging channel fow. Siddique et al [21] analysed natural convection in nanofuid fow through a conduit with a source/sink efect.…”

Section: Introductionmentioning

confidence: 99%

Tangent Hyperbolic Fluid Flow under Condition of Divergent Channel in the Presence of Porous Medium with Suction/Blowing and Heat Source: Emergence of the Boundary Layer

Choudhary

Pattanaik

2023

International Journal of Mathematics and Mathematical Sciences

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A boundary layer’s appearance in a diverging permeable channel for a non-Newtonian hyperbolic tangent fluid with heat transfer in the availability of a heat source and suction or injection is investigated. By controlling backflow, nonlinearly associated ODEs are derived from flow-regulating PDEs, and the restrictions under which the formation of a boundary layer for tangent hyperbolic fluid emerges are investigated. It is obtained that mass suction is an expression of the Hartmann number, porosity parameter, and power law index parameter, and when it surpasses a specific quantity, flow within a boundary layer is conceivable. “Bvp4c,” a MATLAB solver, is used to obtain numerical solutions of flow problem, and for validation of results obtained via Bvp4c, a comparison is made with the methodology of the Runge–Kutta fourth order. As the Weissenberg number enhances, flow in a boundary layer decreases. Furthermore, radiation and heat source parameters have a significant influence on the overall temperature pattern, and as the findings, the thermal boundary layer enhances.

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Section: Introductionmentioning

confidence: 99%

Tangent Hyperbolic Fluid Flow under Condition of Divergent Channel in the Presence of Porous Medium with Suction/Blowing and Heat Source: Emergence of the Boundary Layer

Choudhary

Pattanaik

2023

International Journal of Mathematics and Mathematical Sciences

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A computational study on the MHD Casson fluid flow with thermal radiation and variable physical properties under the influence of Soret and Dufour effects

et al. 2022

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This research study discusses the flow of a magnetohydrodynamic Casson fluid under the influence of Soret, Dufour, and thermal radiation. Nonlinear partial differential equation (PDE) of governing equations is transformed into a dimensionless version of the modified PDEs presented in terms of dimensionless parameters. The solution of coupled PDEs is obtained by the finite difference method with a combination of the quasilinearization technique. The effects of various dimensionless parameters are shown graphically, such as buoyancy force (λ $\lambda $), concentration buoyancy force ( λ C ) $({\lambda }_{{\rm{C}}})$, Casson parameter (β $\beta $), magnetic parameter (H $H$), thermal radiation (R d $Rd$), Darcy parameter (K 0 ${K}_{0}$), Forchheimer (fr), Dufour (D f ${D}_{f}$), Soret (Sor), Brownian motion (N b $Nb$), thermopohersis (N t $Nt$), and Lewis number (L e $Le$). Prevention of heat transfer in the industrial system is critical, the velocity behavior (F $F$), thermal variation (θ $\theta $), and concentration profile (ϕ $\phi $) are more prominent in the roles of coal, gas, and solar thermal collectors.

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Numerical simulation of 3D Darcy–Forchheimer fluid flow with the energy and mass transfer over an irregular permeable surface

Algehyne

Alrihieli

Saeed

et al. 2022

Sci Rep

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The Jeffrey fluid model is capable of accurately characterizing the stress relaxation behavior of non-Newtonian fluids, which a normal viscous fluid model is unable to perform. The primary objective of this paper is to provide a comprehensive investigation into the effects of MHD and thermal radiation on the 3D Jeffery fluid flow over a permeable irregular stretching surface. The consequences of the Darcy effect, variable thickness and chemical reaction are also considered. The phenomena have been modeled as a nonlinear system of PDEs. Using similarity substitution, the modeled equations are reduced to a dimensionless system of ODEs. The parametric continuation method (PCM) is used to determine the numerical solution to the obtained sets of nonlinear differential equations. The impact of physical parameters on temperature, velocity and mass profiles are presented through Figures and Tables. It has been noticed that the energy profile magnifies with the increment of porosity term, thermal radiation and heat source term, while diminishing with the flourishing upshot of power index and Deborah number. Furthermore, the porosity term and wall thickness parameter enhance the skin friction.

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MHD flows on irregular boundary over a diverging channel with viscous dissipation effect

Cited by 7 publications

References 36 publications

Tangent Hyperbolic Fluid Flow under Condition of Divergent Channel in the Presence of Porous Medium with Suction/Blowing and Heat Source: Emergence of the Boundary Layer

Tangent Hyperbolic Fluid Flow under Condition of Divergent Channel in the Presence of Porous Medium with Suction/Blowing and Heat Source: Emergence of the Boundary Layer

A computational study on the MHD Casson fluid flow with thermal radiation and variable physical properties under the influence of Soret and Dufour effects

Numerical simulation of 3D Darcy–Forchheimer fluid flow with the energy and mass transfer over an irregular permeable surface

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