Flow Past an Oscillating Slanted Plate Under the Effects of Inclined Magnetic Field, Radiation, Chemical Reaction, and Time-Varying Temperature and Concentration

Endalew, Mehari Fentahun; Nayak, Anita; Sarkar, Santu

doi:10.1615/interjfluidmechres.2020026987

Cited by 13 publications

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“…The design of cooling towers, chromatography, and distillation are based on this phenomenon. Many researchers have studied the diffusion effect of species into the fluid and undergoing a chemical reaction on MHD natural convective flows 32–34 . Endalew and Nayak 35 have considered a slanted magnetic field influencing the MHD flow along a slanted plate that is linearly accelerated.…”

Section: Introductionmentioning

confidence: 99%

Transient natural convective flow of a radiative viscous incompressible fluid past an exponentially accelerated porous plate with chemical reaction species

Rath

Nayak

2022

Heat Trans

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The present study deals with an unsteady magnetohydrodynamic natural convective flow of a viscous, incompressible fluid past an exponentially accelerated porous plate surrounded by a porous medium with suction or injection. The novelty of the current research is to analyze the behavior of the flow due to mass transfer with first-order chemical reaction in the presence of a heat source in the energy equation. The

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Section: Introductionmentioning

confidence: 99%

Transient natural convective flow of a radiative viscous incompressible fluid past an exponentially accelerated porous plate with chemical reaction species

Rath

Nayak

2022

Heat Trans

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“…In Figure 1, the geometry of problem is clearly demonstrated. Thus, having all aforementioned physical assumptions, the partial differential equations that define the flow problem are given as follows (Endalew and Nayak 24 and Endalew et al 26 ):

\frac{\partial w}{\partial t'} = ν \frac{\partial^{2} w}{\partial {y'}^{2}} - (\frac{σ B_{o}^{2} \sin^{2} ϕ}{ρ} + \frac{ν}{{K'}_{normalp}}) w + (\cos γ) g β' (C' - {C'}_{\infty}) + (\cos γ) g β (T' - {T'}_{\infty}),

ρ C_{p} \frac{\partial T'}{\partial t'} = - \frac{\partial q_{r}}{\partial y'} + κ \frac{\partial^{2} T'}{\partial {y'}^{2}} + S' (T' - {T'}_{\infty}),

\frac{\partial C'}{\partial t'} = D \frac{\partial^{2} C'}{\partial {y'}^{2}} - K_{c} (C' - {C'}_{\infty}) .

…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The variation of an inclination angle of the magnetic field is between 0° and 90°. The influence of inclined magnetic field on time‐dependent hydromagnetic flow over an inclined oscillatory plate and linearly accelerating plate was discussed by Endalew et al 26 and Endalew and Nayak 24 27 …”

Section: Introductionmentioning

confidence: 99%

Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium

Endalew

Sarkar²

2021

Heat Trans

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An exact analysis of a radiative hydromagnetic flow behavior over a tilted parabolic plate through a permeable medium along with variable species concentration and fluid temperature in the presence of a slanted magnetic field parameter, chemical reaction, and heat generation has been carried out in this study. Closed‐form analytical benchmark solutions for flow‐governing equations are obtained by using the Laplace transform method. Thereafter, the incidences of different important physical entities on the nondimensional velocity field, temperature distribution, and species concentration are presented using graphs, whereas impacts of various physical entities on wall shear stress, heat and mass transfer rates are presented in tables. It is worth noting that an increase in the magnetic field and its inclination angle causes the reduction in the fluid velocity. However, wall shear stress increases with the increase of magnetic field and its inclination angle. The novel results in this article can be used to improve quicker cooling and producing miniaturized heat flow systems with upgraded efficiency and cost‐effectiveness.

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“…Obvious verifications and some applications are precisely discussed in the interesting books of Roberts [1] and Davidson and Belova [2]. An analytical study of MHD flow due to a linearly accelerating and oscillating slanted plate under the influences of thermal radiation and homogenous first-order chemical reaction is investigated in a closed form by Endalew and Nayak [3] and Endalew et al [4]. Particularly, they have performed to investigate the effects of an inclined magnetic field, thermal radiation, and chemical reaction on time-dependent MHD flow due to inclined plate through a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Thin Film Flow of a Second-Grade Fluid past a Tilted Plate under the Impact of Thermal Radiation and Chemical Reaction

Endalew

Goshu

Tegegne

2022

Journal of Applied Mathematics

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This paper explores the impact of chemical reaction and thermal radiation on time-dependent hydromagnetic thin-film flow of a second-grade fluid across an inclined flat plate embedded in a porous medium. The thermal radiation based on the Rosseland approximation is incorporated in the energy equation. Uniform applied magnetic field and first-order homogenous chemical reaction are included in the momentum and concentration equations, respectively. The novel mathematical flow model is constructed by using a set of partial differential equations (PDEs). The PDEs are then transformed into an equivalent set of ordinary differential equations (ODEs) and solved by applying the Laplace transform method. However, the time domain solutions are obtained by using the INVLAP subroutine of MATLAB. Physical parameters influencing thin-film velocity, temperature, and concentration are illustrated graphically, while those affecting skin friction, heat, and mass transfer rates are presented in a tabular form. It is found that thin-film velocity and temperature boost with increasing values of thermal radiation, but thin-film velocity decreases with increasing values of chemical reaction and magnetic field. The current investigation is to enhance heat and mass transfer in the design of mechanical systems involving the thin film flow of second-grade fluids over an inclined flat plate after applying thermal radiation and chemical reaction.

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Flow Past an Oscillating Slanted Plate Under the Effects of Inclined Magnetic Field, Radiation, Chemical Reaction, and Time-Varying Temperature and Concentration

Cited by 13 publications

References 0 publications

Transient natural convective flow of a radiative viscous incompressible fluid past an exponentially accelerated porous plate with chemical reaction species

Transient natural convective flow of a radiative viscous incompressible fluid past an exponentially accelerated porous plate with chemical reaction species

Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium

Unsteady MHD Thin Film Flow of a Second-Grade Fluid past a Tilted Plate under the Impact of Thermal Radiation and Chemical Reaction

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