Analytical layered solution of radiation and non–Fourier conduction problems in optically complex media

Ymeli, Guillaume Lambou; Kamdem, Hervé Thierry Tagne; Tchinda, René; Lazard, Myriam

doi:10.1016/j.ijheatmasstransfer.2019.118712

Cited by 4 publications

(3 citation statements)

References 37 publications

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“…Das and Sarkar [19] analyzed the significance of melting on an MHD micropolar liquid stream toward a shrinking sheet with thermal radiation. Ymeli et al [20] presented the analytical layered solution of radiation and non-Fourier conduction problems in optically complex media. Ferroudj et al [21] discussed the Prandtl number effects on the entropy generation during the transient mixed convection in a square cavity heated from below.…”

Section: Introductionmentioning

confidence: 99%

Establishment of Impulsive and Accelerated Motions of Casson Fluid in an Inclined Plate in the Proximity of MHD and Heat Generation

Venkateswarlu

Meduri²,

Makinde³

2022

Period. Polytech. Mech. Eng.

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This article is committed to examine the unsteady MHD Casson liquid flow in an inclined infinite vertical plate in the proximity of heat generation and thermal radiation. The governing energy and momentum partial differential equations are ascertained. The momentum equation is established for two distinct types of conditions when the magnetic domain is relevant to the liquid and the magnetic domain is relevant to the moving plate. Analytical expressions for liquid temperature and motion are acquired by applying Laplace transform technique. The effects of physical parameters are accounted for two distinct types of motions namely impulsive motion and accelerated motion. The numerical values of liquid motion and temperature are displayed graphically for various values of pertinent flow parameters. A particular case of our development shows an excellent compromise with the previous consequences in the literature.

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Section: Introductionmentioning

confidence: 99%

Establishment of Impulsive and Accelerated Motions of Casson Fluid in an Inclined Plate in the Proximity of MHD and Heat Generation

Venkateswarlu

Meduri²,

Makinde³

2022

Period. Polytech. Mech. Eng.

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“…14 Bhattacharyya 15 carried out an intensive study on the heat source/sink and thermal radiation effects on MHD over a porous shrinking sheet. A comprehensive study on radiative and heat transfer through an optical complex media has been presented by Ymeli et al 16 An insight of the thermal radiation role on MHD nanofluid past a constant moving flat surface has been presented by Zainal et al 17 Some recent development on the thermal radiation effect can be found in Ref. 18-22. The traditional boundary condition used to analyze the flow behavior past a horizontal flat plate, vertical, or inclined channel was the classical constant temperature or the so-called surface heat flux.…”

Section: Introductionmentioning

confidence: 99%

Similarity solution for boundary layer flow near a moving vertical porous plate with combined effects of nonlinear thermal radiation and suction/injection having convective surface boundary condition

Jha

Samaila

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This piece of work explored the impact of nonlinear thermal radiation on natural convection flow in the vicinity of a constant moving vertical porous plate with suction/injection. The moving vertical porous plate is considered to be either move in the same direction with fluid in the free stream or move in the negative x-direction while the fluid move in the positive x-direction. The partial differential equations (PDEs) associated with the flow properties are simplified to ordinary differential equations (ODEs) using similarity variables. Then, the resulting ODEs and the boundary condition are translated into the IVP through the shooting method. Furthermore, the final IVP and the reduced boundary conditions are solved numerically through the Runge–Kutta method. The influence of the emerging dimensionless quantities is analyzed through tables and line graphs. The numerical results obtained revealed that with suction/injection, the shear stress could be enhanced by propagating the local convective heat transfer parameter Bix, nonlinear thermal radiation R and the local Grashof number Grx for the two cases of plate motion considered. The result also revealed that in the presence of suction/injection, the heat transfer rate decreases with Bix and Grx, whereas enhanced with R augment for the two plate motions considered. Furthermore, for a constant moving vertical porous plate and constant moving freestream velocity, the convective heat transfer parameter at any point x is proportional to the corresponding heat transfer coefficient related to hot fluid. The nonlinear thermal radiation enhances the velocity and temperature profiles.

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“…Shahid et al [27] numerically analysed the effects of various slip and radiation on unsteady magnetohydrodynamics nanofluid flow past a stretching surface. Ymeli et al [28] presented an analytic solution of Fourier and radiation conduction in an optical complex medium.…”

Section: Introductionmentioning

confidence: 99%

Thermal radiation effect on boundary layer over a flat plate having convective surface boundary condition

Jha

Samaila

2020

SN Appl. Sci.

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This paper presents the effect of thermal radiation on the boundary layer over a flat plate. The convective boundary condition is applied at the surface of the flat plate. The solution to the coupled non-linear transport equations is obtained using the Runge-Kutta-Fehlberg fourth-fifth order (RKF45) method. The impact of thermal radiation on mercury, air, sulphur oxide and water whose Prandtl numbers ( Pr ) are 0.044, 0.72, 2, and 7 respectively are depicted using line graphs and tables. The impact of Prandtl number ( Pr ), local convective heat transfer (a) and temperature difference ( C T ) on temperature distribution are also presented. The results indicated that the boundary layer thickness decreases with Pr augment but increases with increasing values R . Furthermore, R augment is inversely proportional to the temperature gradient near the plate while an opposite trend is observed away from the plate. The results also indicated that R augment reduces heat transfer but an opposite trend is observed with Pr augment. Pr augment has a decreasing effect on boundary layer thickness and a augment has an increasing effect on temperature.

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Analytical layered solution of radiation and non–Fourier conduction problems in optically complex media

Cited by 4 publications

References 37 publications

Establishment of Impulsive and Accelerated Motions of Casson Fluid in an Inclined Plate in the Proximity of MHD and Heat Generation

Establishment of Impulsive and Accelerated Motions of Casson Fluid in an Inclined Plate in the Proximity of MHD and Heat Generation

Similarity solution for boundary layer flow near a moving vertical porous plate with combined effects of nonlinear thermal radiation and suction/injection having convective surface boundary condition

Thermal radiation effect on boundary layer over a flat plate having convective surface boundary condition

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