Unsteady three‐dimensional boundary layer flow due to a stretching surface in a micropolar fluid

Ahmad, Khaliq; Ishak, Anuar Mohd; Pop, Ioan

doi:10.1002/fld.2543

Cited by 17 publications

(6 citation statements)

References 43 publications

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“…Figure 1 displays the flux attributes and the coordinate system. For dusty phase flux, the model based on boundary layer approximation and physical assumptions and coupled with constraints is as follows [39][40][41].…”

Section: Mathematical Formulationmentioning

confidence: 99%

Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant

et al. 2022

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The main objective of this investigation to examine the momentum and thermal transportation of rotating dusty micropolar fluid flux with suspension of conducting dust particles across the stretched sheet. The novelty of the flow model is the exploration of the significance of boosting the volume concentration of dust particles in fluid dynamics. The governing PDEs of the problem for both phase models are transmuted into nonlinear coupled non-dimensional ODEs by utilizing suitable similarity modifications. The bvp4c technique was utilized in MATLAB script to acquire a graphical representation of the experimental results. This study illustrates the analysis of repercussions of pertinent parameters on non-Newtonian fluid and the dusty phase of fluid. By improving the volume concentration of dust particles and rotating parameters, the axial velocity for both phases depreciates, whereas temperature and transverse velocity for both phases have the opposite behavior. The micro-rotation distribution rises with higher contributions of rotating and material parameters, whereas it decreases against larger inputs of volume concentration of dust particles. The growing strength of the dust volume fraction (ϕd) caused the coefficient of skin friction to decrease along the x direction, and the skin friction coefficient is raised along the y direction.

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Section: Mathematical Formulationmentioning

confidence: 99%

Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant

et al. 2022

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“…The so-called stretching surface flow problem has been studied for variety of assumptions pertaining to surface velocity (linear/power law) and surface temperature (constant/variable)/ temperature flux for the simple reason that optimal quality of desired component squarely depends on the shear and heat transfer rate at the sheet. The problem has also been discussed for non-Newtonian fluid, Ferro-fluid and micropolar fluid and also by incorporating physical features like suction/injection, MHD, chemical reaction, and so forth [2][3][4][5][6][7][8][9]. Recently, Liao [10,11] discovered multiple solutions for the flow over both impermeable and permeable stretching sheets.…”

Section: Introductionmentioning

confidence: 99%

Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

Vyas

Srivastava

2012

ISRN Thermodynamics

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This communication pertains to the study of radiative heat transfer in boundary layer flow over an exponentially shrinking permeable sheet placed at the bottom of fluid saturated porous medium. The porous medium has permeability of specified form. The fluid considered here is Newtonian, without phase change, optically dense, absorbing-emitting radiation but a nonscattering medium. The setup is subjected to suction to contain the vorticity in the boundary layer. The radiative heat flux in the energy equation is accounted by Rosseland approximation. The thermal conductivity is presumed to vary with temperature in a linear fashion. The governing partial differential equations are reduced to ordinary differential equations by similarity transformations. The resulting system of nonlinear ordinary differential equations is solved numerically by fourth-order Runge-Kutta scheme together with shooting method. The pertinent findings displayed through figures and tables are discussed.

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“…Following Ziaul et al [13], Ali et al [32] and Ahmad et al [33] the governing equations of boundary layer flow can be defined as:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Rahman [29] and Ishak et al [30] have examined the boundary layer flow of micropolar fluid over isothermal surface in the presence thermal radiation, viscous dissipation and Joule heating. Further, the examination of micropolar fluid on bi-directional stretching surface has been carried out by Ali et al [31] and Ahmad et al [32]. The result shows that the boundary layer configuration is significantly affected by the material parameter.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

Ibrahim

Zemedu

2020

J. Phys. Commun.

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The objective of this study is to explore the effects of Dufour and Soret with multiple slip conditions on 3D boundary layer flow of a micropolar nanofluid. The mathematical modeling for the flow problem has been created. Using appropriate similarity transformation and non-dimensional variable, the governing non-linear boundary value problem is reduced to a coupled high order non-linear ordinary differential equations which is numerically solved. The solutions were using method bvp4c from matlab software for different quantities of governing parameters. The influences of different parameters on skin friction coefficients (s 0 as well as the velocities, temperature, and concentration are examined and discussed through tables and graphs. The finding results indicate the skin friction coefficients, wall duo stresses coefficients (along both x-and y-axes), the Nusselt number and the Sherwood number demonstrate decreasing behavior for an increase in slip parameters but the opposite effects are detected with the values of stretching ratio parameters. A comparison with previous studies available in the literature has been done and a very good agreement is obtained.Nomenclature

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Unsteady three‐dimensional boundary layer flow due to a stretching surface in a micropolar fluid

Cited by 17 publications

References 43 publications

Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant

Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant

Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

Numerical solution of micropolar nanofluids with Soret, Dufor effects and multiple slip conditions

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