Unsteady hydromagnetic couette flow due to ramped motion of one of the porous plates

Jha, Basant K.; Jibril, Haruna M.

doi:10.2478/ijame-2013-0065

Cited by 7 publications

(8 citation statements)

References 11 publications

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“…

L [U (Y, T)] = \overset{U}{true} (Y, s) = \int_{0}^{\infty} U false(Y, T false) e^{- sT} dT

for

s > 0

, as used by Jha and Jibril 15 then the equations in Laplace domain is obtained as:

\frac{d^{2} \overset{U}{true}}{d Y^{2}} - italicRe \frac{d \overset{U}{true}}{dY} - s \overset{U}{true} = - \overset{F}{true} (s),

T > 0 : ({, \begin{matrix} left \\ \overset{true¯}{U} = 0 at Y = 0, \\ \overset{true¯}{U} = 0 at Y = 1, \end{matrix})

\overset{F}{true} (s) = L (F (T)) = \frac{[1 - exp (- s T_{0})]}{s^{2} T_{0}},

where

s

is the Laplace parameter.…”

Section: Mathematical Analysismentioning

confidence: 99%

“…The gradual flow of an electrically conducting, incompressible and viscous, fluid subject to a transverse magnetic field, in the space between two infinite parallel plates due to the ramped motion of the bottom plate was considered by Jha and Jibril. 15 Chandran et al 16 considered the unsteady natural convection flow of an incompressible viscous fluid near a vertical plate with ramped wall temperature. An analysis of the effects of ramped wall temperature and species concentration was carried out on natural convection flow with the Dufour effect, in the space between two parallel plates.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of ramped pressure gradient on transient flow formation in a horizontal porous channel

Jha

Yunus

2021

Heat Trans

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The transient flow formation in a horizontal porous channel assuming a ramped pressure gradient is presented. The equation governing the flow is modeled into a partial differential equation (PDE) which is solved by employing the Laplace transformation technique to transform the PDE to an ordinary differential equation (ODE). The obtained ODE is solved by employing the method of undetermined coefficients to obtain the velocity profile in the Laplace domain. The Riemann sum approximation technique is then adopted to change the obtained solution from the Laplace domain into the time domain. For accuracy checks, the numerical results of the obtained equation are reckoned with previously published work, and an excellent agreement is found. For a clearer understanding of the impact of various flow parameters entering the solutions obtained, graphical and tabular representations are offered using MATLAB software. We noticed that the velocity is slower with ramped pressure gradient compared to a constant pressure gradient. This is because the motion of the fluid occurs gradually with ramped pressure gradient.

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“…

L [U (Y, T)] = \overset{U}{true} (Y, s) = \int_{0}^{\infty} U false(Y, T false) e^{- sT} dT

for

s > 0

, as used by Jha and Jibril 15 then the equations in Laplace domain is obtained as:

\frac{d^{2} \overset{U}{true}}{d Y^{2}} - italicRe \frac{d \overset{U}{true}}{dY} - s \overset{U}{true} = - \overset{F}{true} (s),

T > 0 : ({, \begin{matrix} left \\ \overset{true¯}{U} = 0 at Y = 0, \\ \overset{true¯}{U} = 0 at Y = 1, \end{matrix})

\overset{F}{true} (s) = L (F (T)) = \frac{[1 - exp (- s T_{0})]}{s^{2} T_{0}},

where

s

is the Laplace parameter.…”

Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of ramped pressure gradient on transient flow formation in a horizontal porous channel

Jha

Yunus

2021

Heat Trans

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show abstract

“…A study on the unsteady hydromagnetic Couette flow through a porous channel, caused by the ramped motion of one of the porous plates was carried out. It was assumed that the horizontal channel was formed by two porous plates of uniform permeability, where suction and injection occur at the same rate [6]. Authors in [7] analyzed the transitory free convection and mass transfer flow of an incompressible fluid through a vertical channel when the Dufour effect is present.…”

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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“…It was found that the effects of the suction on velocity are dependent highly on the viscosity parameter. The study of hydromagnetic Couette flow due to ramped motion of one of the porous plates [15] is also examined. For their study, observations were made that the existence of the injection parameter causes the velocity to increase and with the suction parameter, the velocity decreases at the moving porous plate.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Hydromagnetic Couette Flow Under an Oscillating Pressure Gradient and Uniform Suction and Injection

Veronique¹,

Gunakala²,

Job³

2020

Proceedings of the International Conference on Emerging Trends in Engineering &Amp; Technology (IConETech-2020)

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In this paper, we consider the unsteady hydromagnetic Couette flow of a viscous incompressible flow between two infinitely-long horizontal parallel plates under an oscillating pressure gradient. We apply a constant magnetic field which is perpendicular to the plates, and there is uniform suction and injection through the plates. The governing equation for fluid motion within the channel is discretized with the help of the Galerkin Finite Element Method. The effects of the Suction parameter , Hartmann number , Reynolds number , the amplitude of the pressure gradient and the oscillation frequency of the pressure gradient on the velocity distribution are investigated.

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Unsteady hydromagnetic couette flow due to ramped motion of one of the porous plates

Cited by 7 publications

References 11 publications

Influence of ramped pressure gradient on transient flow formation in a horizontal porous channel

Influence of ramped pressure gradient on transient flow formation in a horizontal porous channel

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

Unsteady Hydromagnetic Couette Flow Under an Oscillating Pressure Gradient and Uniform Suction and Injection

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