Unsteady Stokes Flow through Porous Channel with Periodic Suction and Injection with Slip Conditions

Bhatti, Kaleemullah; Bano, Zarqa; Siddiqui, A. M.

doi:10.29020/nybg.ejpam.v11i4.3309

Cited by 8 publications

(4 citation statements)

References 2 publications

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“…Now we will use equations (22)(23)(24) into equations (13-21) and will collect like powers of ϵ, as a result, we will obtain a system of equations accompanying the corresponding boundary conditions. Our aim requires resolving these equations up to the third order.…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…Berman, 17 Yuan, 18 and Sellars 19 have discussed the flow through the porous channel and investigated the series solution by the perturbation technique for constant reabsorption. Siddiqui and his co-authors [20][21][22][23][24] also calculated the creeping flow of Newtonian fluid in a channel with a porous boundary. For the case of linear and exponential leakage along the axis of the channel, the exact solution by the inverse method is attained.…”

Section: Introductionmentioning

confidence: 99%

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Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Mehboob

Maqbool

Ramzan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This research presents the analytical study of the creeping flow of a Maxwell fluid in a permeable slit under the effect of linear reabsorption. Analysis of fluid leakage on the slit wall is carried out with the help of the law of conservation of momentum in the rectangular coordinates. The mathematical model in the form of the system of nonlinear partial differential equations is solved by the recursive approach explaining the hydrodynamic aspects of creeping Maxwell fluid flow. The expressions for the velocity field, hydrostatic pressure, stream function, leakage flux, and fractional reabsorption on the boundary of the slit are obtained from the mathematical model. Graphical analysis is also established to demonstrate the effects of emerging parameters due to linear reabsorption on slit boundary and relaxation time. It is analyzed that the horizontal and vertical velocity decelerates by the growing values of the relaxation parameter, but the reabsorption rate gives an increasing effect on the shear stress, volume flow rate, and vertical velocity. This analytical study will help the bioengineers in designing the medical tools with the required pressure and flow rate, therefore the application of this model for the hemodialyzer is also important.

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Section: Solution Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Mehboob

Maqbool

Ramzan

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Fluid transport with the help of artificial and natural porous media plays a vital role in biology, for example flow in biological tissues, fluid transport in plants in xylem and phloem etc. Therefore, many studies related to flow in porous media in biological systems are studied by Baragh et al [29], Farooq et al [30], Ajarostaghi et al [31], Bhatti et al [32] etc. From these research works, it is analysed that porous media affect the viscous and thermal properties of the non-Newtonian fluid flow [33].…”

mentioning

confidence: 99%

Transport of Jeffrey fluid in a rectangular slit of the microchannel under the effect of uniform reabsorption and a porous medium

Mehboob¹,

Maqbool²,

Ellahi³

et al. 2021

Commun. Theor. Phys.

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This research explores the transport of a Jeffrey fluid through a permeable slit of microchannel under the effect of a porous medium and constant reabsorption. Physical laws of fluid mechanics are used to study the flow in a cross-sectional area of a narrow slit which generates a highly nonlinear system of partial differential equation with nonhomogeneous boundary conditions. To solve the complex boundary value problem; a recursive (Langlois) approach is used and explicit expressions for velocity, pressure, stream function, flux, shear stress and fractional reabsorption are calculated. It is noticed that the flow rate at the centre line of slit and shear stress on the walls of slit decay due to the presence of porous medium and viscoelastic fluid parameters. It is also quantitatively observed that more pressure is required for the fluid flow when the slit is filled with a porous medium and reabsorption on the walls is constant. The mathematical results of the present research have significant importance in the field of biofluid mechanics and medical industry, therefore the application of a diseased rat kidney is also included in this research: and reabsorption velocities in the case of a diseased and a healthy rat kidney are calculated with the effects of a porous medium and constant re-absorption.

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“…It has been found that slip and radiation parameters varies inversely proportional to Nusselt number but directly proportional to velocity. Skin friction decreases as the numerical values of heat generation /absorption and thermal radiation increase Bhatti et al (2018). discussed the Newtonian fluid passing a cylindrical pipe flowing unsteadily with slip at the wall.…”

mentioning

confidence: 99%

Effects of navier slip and skin friction on nanofluid flow in a porous pipe

Muyungi¹

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Recent advances in cooling, filtering, heat transfer, and other processes have all focused attention on fluid flow through porous media. During the flow partial slip becomes more important at wall surfaces in improvement of performance of various devices. In this regard, the governing equation has been presented for the flow of porous pipe with Navier slip in this study also non dimensionalisation has been done. Systems of equations The governing system was expressed to ordinary differential equations, thereafter a mathematical model for the flow of nanofluids was developed. Results are presented graphically of various parameters having different values on and discussed. It is found that the velocity and temperature during the flow is inversely proportional to Navier slip also in order to overcome skin friction there is a need to increase nanoparticles.

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Unsteady Stokes Flow through Porous Channel with Periodic Suction and Injection with Slip Conditions

Cited by 8 publications

References 2 publications

Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Analytical study of creeping flow of Maxwell fluid in a permeable slit with linear re-absorption

Transport of Jeffrey fluid in a rectangular slit of the microchannel under the effect of uniform reabsorption and a porous medium

Effects of navier slip and skin friction on nanofluid flow in a porous pipe

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