Unsteady Dean flow formation in an annulus with partial slippage: A riemann-sum approximation approach

Jha, Basant K.; Danjuma, Yahaya Jibrin

doi:10.1016/j.rineng.2019.100078

Cited by 13 publications

(5 citation statements)

References 29 publications

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“…5 and 6, a growing pressure gradient supports a higher magnitude of Dean velocity. This behaviour is in line with the result reported by Jha and Yahaya [25]. The distribution of skin friction for variations of time along the inner wall when slip coefficient is applied on the outer wall and inner wall respectively for an exponentially decaying/growing time-dependent pressure gradient is illustrated in Figs.…”

Section: Resultssupporting

confidence: 91%

“…In slip flow regime, the heat and mass transfer effect of magnetohydrodynamic fluid flow with slip velocity was scrutinized by Gambo and Gambo [24]. Jha and Yahaya [25] examined the impact of wall slippage in a curvilinear annulus induced by azimuthal pressure gradient. The instability of Dean flow and slip condition in a rotating cylinder was analysed by Avramenko et al [26].…”

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confidence: 99%

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Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Jha

Gambo

2021

J Egypt Math Soc

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Hydrodynamic behaviour of slip flow and radially applied exponential time-dependent pressure gradient in a curvilinear concentric cylinder is examined. A two-step method of solution has been utilized in resolving the governing momentum equation. Accordingly, the exact solution of the time-dependent partial differential equation is derived in terms of the Laplace parameter. Afterwards, the Laplace domain solution is then inverted to time domain using a numerical-based inverting scheme known as Riemann-sum approximation. The effect of various dimensionless parameters involved in the problem on the Dean velocity, shear stresses and Dean vortices is discussed with the aid of graphs. It is found that maximum Dean velocity is due to an exponentially growing time-dependent pressure gradient and slip wall coefficient. Stability of the Dean vortices is achieved by suppressing time, wall slippage and inducing an exponentially decaying time-dependent pressure gradient.

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Section: Resultssupporting

confidence: 91%

mentioning

confidence: 99%

Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Jha

Gambo

2021

J Egypt Math Soc

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“…However, we return the original data for visualization and analysis (Najib et al 2021b). The probability density functions of each distribution are given by (Hilbe 2011;Pobočíková et al 2017;Farooq et al 2018;Sylvi et al 2018;Baran et al 2021)…”

Section: Parameter Estimationmentioning

confidence: 99%

Multivariate Fire Risk Models Using Sample-Size Reduction and Copula Regression in Kalimantan, Indonesia

Najib

Nurdiati

Sopaheluwakan

2021

Preprint

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The copula-based joint distribution can construct a fire risk model to improve forest fires' early warning system, especially in Kalimantan. In this study, we model and analyze the copula-based joint distribution between climate conditions and hotspots. We used several climate conditions, such as total precipitation, dry spells, and El Nino-Southern Oscillation (ENSO). We used copula functions with sample size reduction to construct the joint distributions and the copula regression model to estimate the fire size. The results show that the probability of extreme hotspots number during normal ENSO conditions is very rare and almost near zero during La Nina. Other than that, extreme hotspot event (more severe than in 2019) during El Nino is more sensitive to total precipitation than dry spells based on the conditional survival function. However, the copula regression model found that the model used dry spells as a climate condition better than total precipitation. In this model, the 95% confidence interval of the expected hotspots can cover all actual hotspots data.

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“…These analytical findings are used as accuracy standards for estimate methods involving numerical and semi-numerical approach. An investigation on an unsteady Dean flow of an incompressible fluid with homogenous slip, non-homogenous slip, and no-slip boundary condition was conducted [14]. It was noticed that the velocity profile of the fluid amplifies at the wall with the greatest slip coefficient.…”

Section: Introductionmentioning

confidence: 99%

Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition

Jha

Yunus

2022

International Journal of Applied Mechanics and Engineering

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A transient flow formation of an incompressible fluid through a horizontal porous channel assuming a ramped pressure gradient is considered with the velocity slip boundary conditions. The flow is a laminar flow caused by ramped pressure gradient along the flow direction. The equation governing the flow is modeled, and solved by the Laplace transformation technique to obtain a semi-analytical solution under slip boundary conditions. It was noted that the flow velocity increases as the slip parameter is increased.

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Unsteady Dean flow formation in an annulus with partial slippage: A riemann-sum approximation approach

Cited by 13 publications

References 29 publications

Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Hydrodynamic effect of slip boundaries and exponentially decaying/growing time-dependent pressure gradient on Dean flow

Multivariate Fire Risk Models Using Sample-Size Reduction and Copula Regression in Kalimantan, Indonesia

Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition

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