The boundary layer flow induced above the torsional motion of a disk

Turner, M. R.; Weidman, P. D.

doi:10.1063/1.5091797

Cited by 13 publications

(5 citation statements)

References 12 publications

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“…Thus, it is concluded that penetration depth is higher for small values of Re. Furthermore, the axial flow induced here is similar to the one discussed by the Tetervin-Akatnov-Glauert wall jet (named as TAG, by [33]). In figure 3(c), the azimuthal velocity profile ˜( ) h g is presented for   0 Re 10 .…”

Section: Discussion and Resultssupporting

confidence: 65%

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Study of engine-oil based CNT nanofluid flow on a rotating cylinder with viscous dissipation

et al. 2021

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An axisymmetric viscous carbon nanotube (CNT) nanofluid flow exterior to a rotating circular cylinder of radius a 0 along with viscous dissipation and magnetohydrodynamic (MHD) is considered here. The two-phased Buongiorno’s model is employed to observe the thermal energy transport in nanofluid with engine-oil as a background fluid and two distinct nanoparticles, i.e., single-walled (SWCNTs) and multi-walled (MWCNTs). The flow is driven because of the torsional motion and stretching of the cylinder along the z-direction, which constitutes the axial pressure gradient. It is seen that in the presence of a magnetic field, the axially dependent swirling motion of the cylinder creates a light transverse flow in the meridional plane, which is the principal cause for the wall jet phenomenon on the axial axis. The function computing the numerical solution is bvp5c, which is available in Matlab®. It is noted that for both SWCNTs/MWCNTs cases, thermal and mass transport coefficients are decreasing function of Prandtl and Schmidt numbers, respectively. However, they are augmented due to the presence of strong Lorentz force. The values for wall stress parameters (WSPs) are determined as a function of a magnetic parameter for 0.01 ≤ Re ≤ 102 (where Re is Reynolds number). It is also perceived that the axial WSP decreases due to an increase in values of Re, but an increase in numerical values of azimuthal WSP and Nusselt number is noticed.

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Section: Discussion and Resultssupporting

confidence: 65%

“…Mastroberardino and Siddique [32] employed the shooting method and studied the stretching and permeable cylinder with MHD flow. Turner and Weidman [33] inquired on the flow rotating about its center, caused above a twisting disk. Rivero et al [34] found the exact solutions for the Stokes second problem for a cylinder.…”

Section: Introductionmentioning

confidence: 99%

Study of engine-oil based CNT nanofluid flow on a rotating cylinder with viscous dissipation

et al. 2021

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“…In this paper, the study of the radial stagnation flow of micropolar fluid over a twisting cylinder is presented. The initial flow is obtained by Weidman [4] in which he considered viscous flow. The impact of the micropolar fluid parameters on the flow characteristics has been studied under the concentration of microelements.…”

Section: Discussionmentioning

confidence: 99%

“…They observed that in the meridional plane, the axial pressure gradient persuades a weak transverse flow. Turner and Weidman [4] studied the boundary layer flow persuaded over the torsional motion of the disk. They found that the induced radial velocity profiles have a wall jet structure, furthermore, as the torsional exponent increases, the radial and azimuthal velocity components are restricted near the surface of the disk.…”

Section: Introductionmentioning

confidence: 99%

Radial stagnation flow of a micropolar fluid over a twisting cylinder

et al. 2022

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An investigation is accomplished to analyze the problem of radial stagnation flow of micropolar fluid radially impinging over a twisting cylinder. The impact of the twisting rate σ, Reynolds number R on the flow under the concentration of rotation of microelements on the flow is predicted in this research. By utilizing similarity variables, the leading flow equations of micropolar fluid are transformed into ordinary ones. A numerical scheme called the Keller–Box technique is applied to acquire the numerical results. The consequences of the micro rotational components on the twisting parameter σ=γ/k$\sigma \ = \ \gamma /k$ are analyzed. Important characteristics of this flow are studied for different values of K,R,$K,R,$ and σ. The wall shear stresses are also obtained. The interesting feature of axial and azimuthal wall shear stress parameters under the concentration of micro rotation of fluid elements are obtained and discussed.

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“…In addition, Reddy et al [24] considered Eyring-Powell nanoliquid to investigate the chemical reaction effects on a stretchable cylinder numerically. In recent years, different researchers utilized the chemical reaction impacts for different geometries [25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Energy and mass transfer analysis of 3-D boundary-layer flow over a rotating disk with Brownian motion and thermo-phoretic effects

Rafique¹,

Alghamd

Alotaibi

2022

THERM SCI

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The advancement of nanofluid technology has become an essential tool for investigating thermal conductivity enhancement, which is highly valuable for industrial and engineering applications in many fields including mathematics, physics, engineering, and materials science. This analysis focuses on 3-D boundary-layer flow on nanofluid over a rotating disk by incorporating chemical reaction and thermal radiations effects. One aim of this article is to analyze the energy and mass transport rates for nanofluids. In this study, the Brownian motion and thermophoretic impacts are considered. The governing flow equations are converted to ODE via suitable similarity transformations. The resulting equations were solved via well know technique Keller box method. This analysis revealed that the azimuthal and axial velocities show an inverse pattern against the various values of index factor, n, although the radial velocity has the highest value and decreases significantly. The behavior of the von Karman flow is also recovered for setting the index factor (n = 1). Moreover, it is found that the temperature of nano liquid increases by increasing the Brownian motion and thermophoretic factors.

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The boundary layer flow induced above the torsional motion of a disk

Cited by 13 publications

References 12 publications

Study of engine-oil based CNT nanofluid flow on a rotating cylinder with viscous dissipation

Study of engine-oil based CNT nanofluid flow on a rotating cylinder with viscous dissipation

Radial stagnation flow of a micropolar fluid over a twisting cylinder

Energy and mass transfer analysis of 3-D boundary-layer flow over a rotating disk with Brownian motion and thermo-phoretic effects

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