Effects of the Magnetohydrodynamic Flow within the Boundary Layer of a Jeffery Fluid in a Porous Medium over a Shrinking/Stretching Sheet

Benal, Shaila S.; Tawade, Jagadish V.; Biradar, Mahadev M; Allasi, Haiter Lenin

doi:10.1155/2022/7326504

Cited by 13 publications

(6 citation statements)

References 30 publications

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“…Exact solutions will help to understand the problem of describing topologically complex flows, which are now called turbulent. Let us also mention works such as [120][121][122][123][124][125], where these references are within the framework of the semi-analytical and analytical approaches to the study of mathematical hydrodynamical models.…”

Section: Discussionmentioning

confidence: 99%

Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review

Ershkov,

Prosviryakov,

Burmasheva

et al. 2023

Symmetry

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The present review analyzes classes of exact solutions for the convection and thermal diffusion equations in the Boussinesq approximation. The exact integration of the Oberbeck–Boussinesq equations for convection and thermal diffusion is more difficult than for the Navier–Stokes equations. It has been shown that the exact integration of the thermal diffusion equations is carried out in the Lin–Sidorov–Aristov class. This class of exact solutions is a generalization of the Ostroumov–Birikh family of exact solutions. The use of the class of exact solutions by Lin–Sidorov–Aristov makes it possible to take into account not only the inhomogeneity of the pressure field, the temperature field and the concentration field, but also the inhomogeneous velocity field. The present review shows that there is a class of exact solutions for describing the flows of incompressible fluids, taking into account the Soret and Dufour cross effects. Accurate solutions are important for modeling and simulating natural, technical and technological processes. They make it possible to find new physical mechanisms of momentum transfer for the design of new types of equipment.

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Section: Discussionmentioning

confidence: 99%

Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review

Ershkov,

Prosviryakov,

Burmasheva

et al. 2023

Symmetry

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“…Te charge distribution changes as a result of the strong electric felds, resulting in a net dipole moment. Te NLO phenomenon is important in a variety of devices, including electro-optic modulators and frequency converters [24][25][26][27][28][29][30][31][32][33][34][35]. Te induced dipole moment per unit volume, also known as electrical polarisation (P), plays an important role in the NLO phenomenon.…”

Section: Tird Order Nonlinear Optical Studiesmentioning

confidence: 99%

“…In fact, the theoretical and experimental normalised transmittances are very close. Tis results in a thermal lens and severe phase distortion of the propagating beam [35]. In summary, thermal nonlinearity causes the defocusing efect.…”

Section: Nonlinear Refractive Indexmentioning

confidence: 99%

Role of Cobalt Doping on the Physical Properties of CdO Nanocrystalline Thin Films for Optoelectronic Applications

Bairy¹,

Somayaji²,

Marakala³

et al. 2022

Advances in Materials Science and Engineering

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In the current work, the authors aim to present an insight on the role of cobalt (Co) doping for the structural, morphological, and linear and nonlinear optical (NLO) properties of CdO thin films. The films were prepared using the spray pyrolysis (SP) technique, and the weight % of Co (x) was varied from 0–10. The structural properties of the films were confirmed by the powder X-ray diffraction (P-XRD) studies and are polycrystalline with a cubic structure and a lattice parameter of 0.4658 nm. As Co content in CdO films increases, cluster grain size and porosity decrease significantly, as seen in surface topographic and nanostructural analysis. Through the Burstein–Moss shift, the optical band gap “Eg” in Co: CdO film decreases from 2.52 to 2.05 eV with the increase in Co-doping. To study the NLO parameters, open aperture (OA) and closed aperture (CA) Z-scan measurements were performed using the diode-pumped solid-state continuous wave laser excitation (532 nm), and with the increased Co-content, the NLO parameters—nonlinear absorption coefficient (β∼10−3 cm/W), nonlinear refractive index n 2 ∼ 10−8 cm2/W), and the 3rd-order NLO susceptibility χ 3 ∼ 10−7 to 10−6 e.s.u.) values were determined and found to be enhanced. The maximum NLO parameters achieved in the present study with increasing Co concentration on CdO nanostructures prepared by the SP method are found to be the highest among the reported values and suggest that processed films are a capable material for optoelectronic sensor applications.

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“…Bayones et al [10] analyzed the magnetohydrodynamic flow of fluid over a stretching surface with mixed convection. Benal et al [11] studied Jeffery fluid flow over a porous stretching/ shrinking sheet in the presence of a magnetic field. Obalalu et al [12] examined the hydromagnetic flow of Williamson fluid over an inclined stretching sheet in the presence of Hall current.…”

Section: Introductionmentioning

confidence: 99%

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

M N,

S K

2024

Phys. Scr.

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This paper presents a novel investigation into the intricate behaviour of momentum and heat transport phenomena in a non-Newtonian Maxwell fluid flowing over a stretching sheet. Incorporating thermal radiation R d , magnetic fields M , buoyancy effects λ T , and porous media K under convective boundary conditions the study unveils complex fluid behaviours. Energy equation has been obtained by incorporating non-uniform heat source/sink along with viscosity of the fluid as a function of temperature across the domain. Leveraging the Lie Scale transformation technique, the governing non-linear partial differential equations are converted into non-linear ordinary differential equations. With the aid of Homotopy Analysis Method (HAM), a semi-analytical technique, the solutions describing the physical phenomenon of the current model have been obtained. Further, the results are assessed through the graphical analysis of the velocity profile f ′ η , thermal profile θ η , skin friction coefficient C f R e 1 2 , and Nusselt number N u R e − 1 2 . The obtained results using HAM shows good agreement with the existing literature. The present work offers practical implications for various engineering applications.

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Effects of the Magnetohydrodynamic Flow within the Boundary Layer of a Jeffery Fluid in a Porous Medium over a Shrinking/Stretching Sheet

Cited by 13 publications

References 30 publications

Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review

Solving the Hydrodynamical System of Equations of Inhomogeneous Fluid Flows with Thermal Diffusion: A Review

Role of Cobalt Doping on the Physical Properties of CdO Nanocrystalline Thin Films for Optoelectronic Applications

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

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