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

Vyas, Paresh; Srivastava, Nupur

doi:10.5402/2012/214362

Cited by 13 publications

(14 citation statements)

References 34 publications

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“…Meanwhile, Miklavčič and Wang [3] reported the existence of non-unique solutions for flow over a shrinking sheet. Since then, many studies have considered the effect of several physical parameters such as magnetohydrodynamic (MHD) and radiation on stretching and shrinking surfaces [4][5][6][7][8][9][10][11][12]. The effect of the MHD parameter is an important factor in many industrial and engineering applications, for example, MHD power generators, metallurgical process, crystal growth, metal casting, and cooling of nuclear reactors [13].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

2021

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In this paper, we examine the influence of hybrid nanoparticles on flow and heat transfer over a permeable non-isothermal shrinking surface and we also consider the radiation and the magnetohydrodynamic (MHD) effects. A hybrid nanofluid consists of copper (Cu) and alumina (Al2O3) nanoparticles which are added into water to form Cu-Al2O3/water. The similarity equations are obtained using a similarity transformation and numerical results are obtained via bvp4c in MATLAB. The results show that dual solutions are dependent on the suction strength of the shrinking surface; in addition, the heat transfer rate is intensified with an increase in the magnetic parameter and the hybrid nanoparticles volume fractions for higher values of the radiation parameter. Furthermore, the heat transfer rate is higher for isothermal surfaces as compared with non-isothermal surfaces. Further analysis proves that the first solution is physically reliable and stable.

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Section: Introductionmentioning

confidence: 99%

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

2021

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“…Case 1: When β → ∞, the momentum equation of the present problem reduces to that of Vyas and Srivastava 4 …”

Section: Mathematical Modelmentioning

confidence: 98%

“…The thermal characteristics of boundary layer flow past stretching/shrinking surfaces have received attention after the pioneer study by Crane 1 . Vyas et al 2–6 reported analysis for flow and heat transfer due to deforming sheet in a porous medium under a variety of assumptions. Wang 7 reported the boundary layer flow over an unsteady shrinking film.…”

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov flux and entropy in thermofluidics involving shrinking surface

2021

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The paper examines radiative Casson boundary layer flow over an exponentially shrinking permeable sheet in a Cattaneo–Christov heat flux environment. The sheet is placed at the bottom of the fluid‐saturated porous medium and suction is applied normally to the sheet to contain the vorticity. The radiative heat flux in the energy equation is assumed to follow the Rosseland approximation. Similarity transformation is performed to convert the governing partial differential equations into ordinary differential equations. The resulting boundary value problem is treated numerically employing Runge–Kutta fourth‐order integration scheme along with the shooting method. The effects of pertinent parameters on quantities of interest are showcased graphically/in tabular form and are discussed. The dual profiles for velocity and temperature lead to a dual solution regime for entropy. It is found that critical mass suction rate and Nusselt number are substantially responsive to various parameters' values. Critical suction values decrease with a rise in Casson parameter β and permeability parameter K. Skin friction coefficient and Nusselt number show peculiar behavior for distinct branches of solutions.

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“…In this study, a steady two‐dimensional boundary layer flow of micropolar fluid over an exponentially shrinking sheet is analysed. In real applications, this flow problem may occur in the process of aerodynamic extrusion of plastic sheets, design of chemical processing equipment and field coating for welded pipes ends 41,42 . The flow problem is represented by the Cartesian plane such that the x axis is parallel to the sheet, and the y axis is normal to it, as illustrated in Figure 1.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Magnetohydrodynamics boundary layer flow of micropolar fluid over an exponentially shrinking sheet with thermal radiation: Triple solutions and stability analysis

Yahaya

Arifin

Isa

et al. 2021

Math Methods in App Sciences

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The flow of electrically conducting micropolar fluid past an exponentially permeable shrinking sheet in the presence of a magnetic field and thermal radiation is studied. Similarity transformations are applied to the governing partial differential equations to form ordinary differential equations. The solution for the resultant equations, subject to boundary conditions, is then computed numerically using the bvp4c solver in MATLAB. The effects of several parameters on the local skin friction coefficient, couple stress, Nusselt number, velocity, microrotation and temperature of the fluid are analysed. Because the numerical computations for this problem result in triple solutions, stability analysis is carried out to ascertain the stability and significance of these solutions. The first solution is revealed to be stable, hence more physically meaningful than the other solutions. Meanwhile, it is found that the increase in magnetic and thermal radiation parameters reduces the fluid temperature.

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

Cited by 13 publications

References 34 publications

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

Hybrid Nanofluid Flow over a Permeable Non-Isothermal Shrinking Surface

Cattaneo–Christov flux and entropy in thermofluidics involving shrinking surface

Magnetohydrodynamics boundary layer flow of micropolar fluid over an exponentially shrinking sheet with thermal radiation: Triple solutions and stability analysis

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