Unsteady MHD Free Convection Jeffery Fluid Flow of Radiating and Reacting Past a Vertical Porous Plate in Slip-Flow Regime With Heat Source

Raju, K. Venkateswara; Parandhama, A.; Raju, M. C.; Babu, K. Ramesh

doi:10.5098/hmt.10.25

Cited by 4 publications

(4 citation statements)

References 14 publications

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“…Since the magnetic Reynolds number is substantially lower than the external one, it is presumed that the generated magnetic fields are insignificant. As [Raju et al, 2018] proposed, some terms (viscous dissipation and Joule heating) are omitted as modest velocities typically present in periodic and free convection flows. The equations governing the flow, heat and mass transport of a viscous incompressible fluid can be expressed as follows under the aforementioned assumptions and using the Boussinesq approximation [Venkateswarlu et al, 2019].…”

Section: Mathematical Model and Derivationmentioning

confidence: 99%

“…Raju et al delved into an analytical investigation of the unsteady MHD free convective flow of an electrically conducting Jeffery fluid past an infinite vertical porous flat plate. The consideration of the slip flow regime and the application of a uniform magnetic field perpendicular to the plate further enrich the study [Raju et al, 2018].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear modeling of oscillatory viscoelastic fluid with variable viscosity: a comparative analysis of dual solutions

Vaidehi,

Sasikumar

2024

CRM

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The viscoelastic fluid flow model across a porous medium has captivated the interest of many contemporary researchers due to its industrial and technical uses, such as food processing, paper and textile coating, packed bed reactors, the cooling effect of transpiration and the dispersion of pollutants through aquifers. This article focuses on the influence of variable viscosity and viscoelasticity on the magnetohydrodynamic oscillatory flow of second-order fluid through thermally radiating wavy walls. A mathematical model for this fluid flow, including governing equations and boundary conditions, is developed using the usual Boussinesq approximation. The governing equations are transformed into a system of nonlinear ordinary differential equations using non-similarity transformations. The numerical results obtained by applying finite-difference code based on the Lobatto IIIa formula generated by bvp4c solver are compared to the semi-analytical solutions for the velocity, temperature and concentration profiles obtained using the homotopy perturbation method (HPM). The effect of flow parameters on velocity, temperature, concentration profiles, skin friction coefficient, heat and mass transfer rate, and skin friction coefficient is examined and illustrated graphically. The physical parameters governing the fluid flow profoundly affected the resultant flow profiles except in a few cases. By using the slope linear regression method, the importance of considering the viscosity variation parameter and its interaction with the Lorentz force in determining the velocity behavior of the viscoelastic fluid model is highlighted. The percentage increase in the velocity profile of the viscoelastic model has been calculated for different ranges of viscosity variation parameters. Finally, the results are validated numerically for the skin friction coefficient and Nusselt number profiles.

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Section: Mathematical Model and Derivationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear modeling of oscillatory viscoelastic fluid with variable viscosity: a comparative analysis of dual solutions

Vaidehi,

Sasikumar

2024

CRM

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“…With the usage of the Laplace transformation method and a regular perturbation method, we get the solution of nondimensional initial boundary value problem ( 7)- (10). By applying the Laplace transformation method with respect to t (time) on the above equations, we obtain the resulting equations as…”

Section: Investigate the Solution Of The Velocity Fieldmentioning

confidence: 99%

“…It is observed that the Jeffrey fluid is an extraordinary type of non-Newtonian fluid. Among many other types of non-Newtonian fluid models, it is revealed that the model of Jeffrey fluid flow is one of the substantial models which clearly precise the finest description of properties of the viscoelastic fluids [6][7][8][9][10][11]. It is presented that, in nature, Jeffrey fluid models are well-defined in linear viscoelastic fluids.…”

Section: Introductionmentioning

confidence: 99%

Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration

Bajwa

Ullah

Al-Johani

et al. 2022

Mathematical Problems in Engineering

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In this research work, the velocity of Jeffrey fluid flow which is unsteady in nature, over an infinite horizontal porous plate, is considered, and also, the influence of MHD and porosity on the velocity of the fluid is investigated. The major objective of this research paper is to achieve the analytical solution for the incompressible transient flow of MHD (magneto hydrodynamic) Jeffrey fluid above an accelerating porous plate. The fluid flows above the plate at y > 0 , and the plate is infinite in the x-direction y = 0 and gives an oscillatory motion. For the occurrence of both injection and suction phenomena, porous plate is used. The governing equation of the model becomes dimensionless by using the appropriate set of nondimensional variables. With the help of Laplace transformation and perturbation methods, these nondimensional differential equations of Jeffrey fluid are solved. The effects of different parameters on velocity are studied. These parameters include ω (oscillating frequency), λ1 (ratio of relaxation and retardation time), β (Jeffrey fluid parameter), γ (wall transpiration parameter), t (time), k (porosity parameter), and Ha (magnetic parameter). We found that velocity declines as we increase the values of ratio of relaxation and retardation times, Jeffrey fluid parameter, wall transpiration parameter, and magnetic parameter. The effect of time, oscillation frequency, and porosity on velocity profile is opposite as that of other parameters. We take β < 1 , as β represents perturbed parameter. Graphs are plotted for various values of these parameters with the help of Mathcad software and talk over these graphs in detail.

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Influence of induced magnetic field on MHD convective flow of casson fluid with slip phenomenon

Choudhary,

Yadav,

Gadhwal

2023

1ST INTERNATIONAL CONFERENCE ON COMPUTATIONAL APPLIED SCIENCES &Amp; IT’S APPLICATIONS

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Unsteady MHD Free Convection Jeffery Fluid Flow of Radiating and Reacting Past a Vertical Porous Plate in Slip-Flow Regime With Heat Source

Cited by 4 publications

References 14 publications

Nonlinear modeling of oscillatory viscoelastic fluid with variable viscosity: a comparative analysis of dual solutions

Nonlinear modeling of oscillatory viscoelastic fluid with variable viscosity: a comparative analysis of dual solutions

Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration

Influence of induced magnetic field on MHD convective flow of casson fluid with slip phenomenon

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