Thermal radiation and inclined magnetic field effects on MHD flow past a linearly accelerated inclined plate in a porous medium with variable temperature

Endalew, Mehari Fentahun; Nayak, Anita

doi:10.1002/htj.21367

Cited by 28 publications

(21 citation statements)

References 28 publications

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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%

“…For instance, sunlight is a composition of the visible light spectrum, ultraviolet energy, and infrared energy. Analytical investigation of effects of thermal radiation parameter on time‐dependent hydromagnetic flow over an inclined linearly moving plate through a permeable medium has been carried out by Endalew and Nayak 24 25 …”

Section: Introductionmentioning

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%

See 2 more Smart Citations

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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\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%

Section: Introductionmentioning

confidence: 99%

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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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“…Chu et al 11 have performed hydromagnetic stagnation point non‐Newtonian fluid flow over shrinking and stretchable surface sheets. The development of integrated mathematical models for the process of heat and mass transfer is studied by Chen et al 12 Furthermore, investigations of heat and mass transfer in different aspects are performed by Endalew and Nayak 13 Luikov, 14 Endalew and Sarkar, 15 Sarkar and Endalew, 16 and so on.…”

Section: Introductionmentioning

confidence: 99%

Analytical study of heat and mass transfer effects on unsteady Casson fluid flow over an oscillating plate with thermal and solutal boundary conditions

Endalew

2021

Heat Trans

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In this study, the impacts of heat and mass transfer characteristics on an isotropic incompressible Casson fluid flow over an oscillatory plate with the incidences of solutal and thermal boundary conditions have been investigated. Exact solutions of the fundamental equations governing the fluid flow are determined by using the Laplace transform technique. Numerical results based on analytical solutions are presented in graphical and tabular illustrations to clarify the behaviors of the fluid. Most interestingly, both fluid velocity and species concentration increase with an increment of mass transfer coefficient, whereas the fluid velocity diminishes as oscillating frequency increases near the surface of the plate. This happens due to the presence of high fluctuation of the plate in the flow system. Finally, this investigation is helpful to the scientific community, and the obtained results can be used as benchmark solutions for solving nonlinear flow governing problems fully via various numerical methods.

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“…Sandeep and Sugunamma [6] studied the influence of the aligning magnetic field on the unsteady flow of a dusty fluid through a porous medium in a vertical channel. Recently, Endalew and Nayak [7] considered the effects of an inclined magnetic field and chemical reaction of unsteady flow through a porous medium over align plate with thermal radiation. Yadav and Jaiswal [8] scrutinized the impact of an inclined magnetic field on a rotating fluid in the presence of a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Slip Effects and Entropy Generation on Inclined MHD Flow of Williamson Fluid Through a Permeable Wall with Chemical Reaction via DTM

Yusuf¹,

Mabood²

2020

MMEP

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In the current article, we examine the slip effects for the inclined MHD Williamson fluid over a permeable wall with a chemical reaction. The second law of thermodynamics was applied to examine the aspects of entropy generation. The governing partial differential equations (PDEs) are reduced to ordinary differential equations (ODEs) via appropriately adjusted transformation. The dimensionless developed boundary layer equations have been solved by differential transform method (DTM) for various values of parameters. The most relevant outcomes of the current analysis are that augmented magnetic strength and Williamson fluid parameter undermine the fluid velocity which established a thicker velocity boundary layer while suction/injection show the opposite trend. Another most important outcome is that an increase in suction/injection decreases the entropy generation while it uplifts with Brinkman number. It is also observed that Bejan number decreases with the chemical reaction parameter.

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Thermal radiation and inclined magnetic field effects on MHD flow past a linearly accelerated inclined plate in a porous medium with variable temperature

Cited by 28 publications

References 28 publications

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

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

Analytical study of heat and mass transfer effects on unsteady Casson fluid flow over an oscillating plate with thermal and solutal boundary conditions

Slip Effects and Entropy Generation on Inclined MHD Flow of Williamson Fluid Through a Permeable Wall with Chemical Reaction via DTM

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