Finite element analysis of MHD naturally convective flow past an exponentially accelerated plate with viscous dissipation

Divya, Allenki; Sheri, Siva Reddy; Suram, Anjan Kumar

doi:10.1080/10407790.2023.2274454

Cited by 5 publications

(1 citation statement)

References 25 publications

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“…(11) Investigates how hall current, Dufour effect, and Soret effect transient MHD flow across an inclined porous plate. (12) Investigates numerically the spontaneously convective flow across an exponentially accelerating plate with viscous dissipation using the MHD finite element method. The effects of heat stratification on unsteady parabolic flow past an infinite vertical plate with chemical reactions are investigated in (13) .…”

Section: Introductionmentioning

confidence: 99%

Rotation and Dufour Impact on Unsteady Flow Past a Parabolic Accelerated Vertical Plate with Uniform Temperature and Mass Diffusion

Kavitha,

Selvaraj

2024

IJST

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Objective : Fluid dynamics and heat transfer theory examine the Dufour phenomenon and the rotational influence of unstable parabolic flow across an accelerating infinite vertical plate. This scenario involves several parameters, including the "mass Grashof number (Gr), thermal Grashof number (Gc), Prandtl number (Pr), Hartmann number (Ha), Schmidt number (Sc), Dufour number (Dc), and acceleration parameter". Method : We have applied the Laplace transform method to the resulting PDE. This method converts the equations to algebraic form, making it easier to solve for velocity, temperature, and concentration in terms of time and space. Graphs can show the relationship between the acceleration parameter and numerous parameters such as mass and thermal Grashof, Hartmann (Ha), and Dufour (Df), as well as the consequent velocity profile. If the velocity increases when these variables change, we'll look at the physical reasons that generate this behaviour. We will examine the conclusions using experimental data or existing theoretical models, considering the model's assumptions and limits. Finally, highlight the significant facts and insights gained from the analysis. We will discuss potential future research possibilities, such as exploring more complex geometries or accounting for new physical effects. Findings : The increase in Dufour parameter value causes an increase in temperature and level trends, demonstrating the significant influence of these factors on the researched phenomena. Novelty: This research advances our understanding of heat and mass transfer phenomena by isolating the Dufour effect in a novel scenario involving unsteady flow around a rotating vertical plate, filling a gap in the existing body of knowledge that is dominated by MHD-inclusive investigations. Suggestions: This approach is fairly general and may be applied to find analysis of heat and mass transfer on Dufour effect for other effects such as Soret effect, Hall current of heat and mass transfer. Keywords: Uniform Temperature, Thermo diffusion (Dufour), Inverse Laplace, Rotational, Constant Mass

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Section: Introductionmentioning

confidence: 99%

Rotation and Dufour Impact on Unsteady Flow Past a Parabolic Accelerated Vertical Plate with Uniform Temperature and Mass Diffusion

Kavitha,

Selvaraj

2024

IJST

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A Study of Quadratic Buoyancy‐Driven Magnetohydrodynamic Stagnation‐Point Flow With Radiative Heat, Thermophoresis, and Arrhenius Energy Over a Stretching Surface

Das,

Patgiri

2024

Heat Trans

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The motivation of this study is to explore the magnetohydrodynamic flow of the Newtonian fluid model, focusing on the effects of thermophoresis and nonlinear convection on the viscous fluid in a stretchy sheet embedded in permeable media. This work aims to study the flow behavior, including the novel effects of radiative heat in the energy equation and energy activation in the concentration equation. Through proper similarity variables, governing equations are transformed to dimension‐free form. The nonlinear dimension‐free equations are solved via the bvp4c tool. The study of stagnation‐point flow for a viscous nanofluid towards a stretchable area offers a comprehensive understanding of the relationships between fluid dynamics, heat transportation, and material properties. The flow behavior of several physical factors is studied graphically for temperature, velocity, and concentration boundary layer. Moreover, skin friction, mass, and heat transmission rates are important in this investigation. The impact of skin friction, heat, and mass transmission rates are represented in a table. From observation, it is highlighted that the permeability parameter reduces fluid velocity and the heat transport rate. Magnetic parameter enhances skin friction. Heat and mass transfer rates decrease by 0.39% and 0.21%, respectively, whereas skin friction rises by 6.19% when M is increased by 0.5 from 0.5 to 1. The heat transfer rate increases by 0.06% when the activation energy is increased by 0.2 from 0.4 to 0.6, but the mass transfer rate declines by 39.8%. Eckert number and radiation parameters enhance the fluid's temperature. The concentration boundary layer reduces for increasing chemical reactions and Schmidt numbers. This research helps design efficient systems and processes for engineering and commercial uses incorporating fluid motion and heat exchange.

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Nanoscale heat transport analysis of magnetized trihybrid nanofluid over wedge artery: Keller box and finite element scheme combination

Almheidat,

Alqudah,

Souayeh

et al. 2024

Case Studies in Thermal Engineering

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Finite element analysis of MHD naturally convective flow past an exponentially accelerated plate with viscous dissipation

Cited by 5 publications

References 25 publications

Rotation and Dufour Impact on Unsteady Flow Past a Parabolic Accelerated Vertical Plate with Uniform Temperature and Mass Diffusion

Rotation and Dufour Impact on Unsteady Flow Past a Parabolic Accelerated Vertical Plate with Uniform Temperature and Mass Diffusion

A Study of Quadratic Buoyancy‐Driven Magnetohydrodynamic Stagnation‐Point Flow With Radiative Heat, Thermophoresis, and Arrhenius Energy Over a Stretching Surface

Nanoscale heat transport analysis of magnetized trihybrid nanofluid over wedge artery: Keller box and finite element scheme combination

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