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1
Content available Transient flow through a porous channel with ramped pressure gradient and velocity slip boundary condition
Jha Basant K., Yunus Zainab Sa'id
International Journal of Applied Mechanics and Engineering
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2022
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Vol. 27, no. 1
78--90
EN
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.
2
Content available Bödewadt flow and heat transfer of dusty fluid with Navier slip
Turkyilmazoglu M.
Archives of Mechanics
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2022
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Vol. 74, nr 2-3
157--172
EN
The current work deals with two-phase flow and heat transfer induced by a mixture of fluid and dust particles revolving with a constant angular velocity above a slippage planar wall. Interaction of the solids with the fluid through an interaction force while rotating above the surface is formulated through a similarity system of equations akin to the Bödewadt flow in the absence of suspended particles. Although the velocity fields of fluid and solid are strictly coupled, the heat fields are decoupled from the velocity fields, but they are still in contact with each other due to the coupling of fluid and particle temperatures. The dusty fluid flow character is simulated numerically to capture the fluid and dust phase behaviors. The momentum and thermal layers are resolved in the presence of wall slip mechanism. Illustrative and quantitative results are eventually presented reflecting the physical features of particles and fluid at any stage of interaction during the rotary motion. It is revealed that the wall slip mechanism can be effective enough to alter the usual Bödewadt flow phenomenon.
3
Content available Simultaneous effects of heat transfer and variable viscosity on peristaltic transport of casson fluid flow in an inclined porous tube
Manjunatha G., Rajashekhar C., Vaidya H., Prasad K. V.
International Journal of Applied Mechanics and Engineering
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2019
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Vol. 24, no. 2
309--328
EN
The present study investigates the combined effects of varying viscosity and heat transfer on a Casson fluid through an inclined porous axisymmetric tube in the presence of slip effects. The modeled governing equations are solved analytically by considering the long wavelength and small Reynolds number approximations. The numerical integration is employed to obtain pressure rise and frictional force. A parametric analysis has been presented to study the effects of the Darcy number, angle of inclination, varying viscosity, velocity slip, thermal slip, yield stress, amplitude ratio, Prandtl number and Eckert number on the pressure rise, pressure gradient, streamlines, frictional force and temperature. The study reveals that an increase in the angle of inclination and viscosity parameter has a proportional increase in the pressure rise. Also, an increase in the porosity causes a significant reduction in the pressure rise.
4
Content available An oscillatory radiating hydromagnetic internal heat generating fluid flow through a vertcal porous channel with slip and temperature jump
Titiloye E. O., Gbadeyan J. A., Adeosun A. T.
International Journal of Applied Mechanics and Engineering
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2018
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Vol. 23, no. 2
503--519
EN
The present study concerns the natural convective heat generating/absorbing, radiative magnetohydrodynamic, oscillatory fluid flow through a vertical porous channel with slip and temperature jump. The effect of Joule dissipation is taken into consideration while it is assumed that the flow is fully developed. The differential transforms method(DTM) is employed to solve the system of non-linear ordinary differential equations that is obtained from the non-linear partial differential equations governing the flow. Semi analytical solutions of the steady and unsteady part of the flow in the slip flow regime through a vertical porous channel are obtained. The effects of various flow parameters on the velocity and temperature profiles as well as Nusselt and skin friction are presented graphically and discussed. An excellent agreement between the results of this article and those available in the literature validated the presented approach.
5
Content available Effect of induced magnetic field on MHD mixed convection flow in vertical microchannel
Jha B. K., Aina B.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 3
567--582
EN
The present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.
6
Content available Slow extensional flow past a non-homogeneous porous spherical shell
Rajvanshi S. C., Wasu S.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 2
491--502
EN
An analytical investigation of extensional flow past a porous spherical shell of finite thickness with velocity slip at the surface is presented. The permeability of the shell varies continuously as a function of the radial distance. The flow in the porous region is assumed to obey Darcy’s Law. The drag has been calculated in terms of normal volume flux rate per unit area of the outer and inner surfaces. Particular cases of flow past a homogeneous sphere and no-slip boundary condition have been deduced.
7
Size and wall effects in water flows in nanochannels
Kucaba-Pietal A., Walenta Z., Peradzynski Z.
Turbulence : international journal
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2004
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Vol. 10
77-81
EN
The results of the simulations of plane Poiseuille flow of water through narrow channels are presented and compared with the analytical solutions for micropolar fluid. In the simulations performed by use the Molecular Dynamic method, physical properties of the materials and their electrostatic interactions were considered. Simulation of the flow was carried on for two different channel width and two different materials of the walls (copper and quartz).
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