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A boundary layer analysis is presented for the mixed convection past a vertical wedge in a porous medium saturated with a nano fluid. The governing partial differential equations are transformed into a set of non-similar equations and solved numerically by an efficient, implicit, iterative, finite-difference method.
Apr 15, 2020· The linear stability of buoyant parallel flow in a vertical porous layer with an annular cross-section is investigated. The vertical cylindrical boundaries are kept at different uniform temperatures and they are assumed to be impermeable. The emergence of linear instability by convection cells is excluded on the basis of a numerical solution of the linearised governing equations. …
Mar 09, 2011· A boundary layer analysis is presented for the mixed convection past a vertical wedge in a porous medium saturated with a nano fluid. The governing partial differential equations are transformed into a set of non-similar equations and solved numerically by an efficient, implicit, iterative, finite-difference method. A parametric study illustrating the influence of various physical parameters ...
Convection in Superposed Fluid and Porous Layers in the Presence of a Vertical Magnetic Field HANADI M. BANJER and ABDULLAH A. ABDULLAH Department of Mathematical Sciences Umm Al-Qura University P. O. Box 6337, Makkah SAUDI ARABIA [email protected]
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The work presented herein investigates the velocity, heat transfer, Nusselt number and skin friction profiles involved in boundary layer flow past a moving vertical porous plate. Similarity transformations are employed to convert the governing nonlinear unsteady momentum and energy equations from their partial differential equation forms to boundary value ordinary differential equations.
vertical porous layer occupying half of the test cell, the degree of penetration of fluid into the porous layer depends, roughly, on the product of the Rayleigh and Darcy numbers, which should be greater than about 50 for penetration to be significant. Aryuis & Caltagirone (1984) and Arquis, Caltagirone & Langlais (1986) have used an
porous media. Makinde (2009) considered the MHD boundary-layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux. Raptis et al. (1981) constructed similarity solutions for boundary layer near a vertical surface in a porous medium with …
The present study investigates the entropy generation analysis for magnetohydrodynamics (MHD) flow of a viscous fluid through a deformable vertical porous layer. The bounding vertical plates y = 0 and y = h are maintained at different constant temperatures T 0 and T w, respectively. The coupled phenomenon of the fluid movement and solid ...
The degree of penetration of fluid into the porous medium depends strongly on the porous-layer geometry and is less for a horizontal porous layer occupying the lower half of the test cell. If penetration takes place, the flow patterns in the fluid regions are significantly altered and the streamlines show cusps at the fluid/porous-medium ...
Similarity solution,evaporation,vertical plate,liquid film,porous layer, Abstract. In this paper, heat and mass transfer for liquid evaporation along a vertical plate covered with a thin porous layer has been investigated. The continuity, momentum, energy and mass balance equations, which are coupled nonlinear partial differential equations are ...
Apr 01, 1975· Int. J. Heat Mass Transfer. Vol. 18, pp. 569-573. Pergamon Press 1975. Printed in Great Britain THE BOUNDARY-LAYER REGIME FOR CONVECTION IN A VERTICAL POROUS LAYER JAN ERK WEBER Department of Mechanics, University of Oslo, Biindern, Oslo 3, Norway {Received 23 November 1973 and in revised form 28 August 1974) Abstractuoyancy-driven convection in a …
free convictive, dissipative boundary layer flow past a porous vertical surface in the presence of thermal radiation, chemical reaction and constant suction. Reddy et al. [15] concentrated on an unsteady MHD free convection flow of a Kuvshinski fluid past a vertical porous plate in the presence of chemical reaction and heat source/sink.
Dec 11, 2020· Electroassisted Transfer of Vertical Silicon Wire Arrays Using a Sacrificial Porous Silicon Layer Jeffrey M. Weisse,† Chi Hwan Lee,† Dong Rip Kim,‡ Lili Cai,† Pratap M. Rao,† and Xiaolin Zheng*,† †Department of Mechanical Engineering, Stanford University, California 94305, United States ‡Department of Mechanical Engineering, Hanyang University, Seoul 133-791, South Korea
vertical porous layer has been carried out . The vertical cylinder has a heat-conducting solid shell of finite thickness and conductivity. Convective heat exchange with an environment is modeled at the top and side walls while the bottom wall is adiabatic. The mathematical model has been formulated in
Mar 29, 2006· The boundary-layer regime for convection in a vertical porous layer. International Journal of Heat and Mass Transfer, Vol. 18, Issue. 4, p. 569. International Journal of Heat and Mass Transfer, Vol. 18, Issue. 4, p. 569.
Sep 01, 2020· However, huge volume change (~400%) during cycling and low electrical conductivity have adversely affect its cycling life and rate performance, delaying its footstep as commercial anode of LIBs. Herein, vertical graphene sheets (VGSs) are grown on Si particles by thermal chemical vapor deposition, which forms a flexible and porous surface layer.
The flow and heat transfer in a rotating vertical porous layer, placed far from the axis of rotation, and subjected to internal heat generation and centrifugal jitter, is considered. The linear stability theory is used to determine the convection threshold, in terms of the critical Rayleigh number. Typical liquids used in engineering applications and heavy liquid metals are used to demonstrate ...
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In this paper, the instability of a vertical fluid motion, or throughflow, is investigated in a horizontal bidisperse porous layer that is uniformly heated from below. By means of the order-1 Galerkin approximation method, the critical Darcy–Rayleigh number for the onset of steady instability is determined in closed form. The coincidence between the linear instability threshold and the ...
layer flow about a vertical flat impermeable surface embedded in a saturated porous medium. Ishak et al. [5] investigated the mixed convection flow near a stagnation point on a vertical porous ...
Jul 24, 2019· The unstable nature of buoyant flow in a vertical porous slab with a pure conduction temperature distribution is investigated. The permeable and isothermal boundaries are subject to a temperature difference, which is responsible for the basic stationary and parallel vertical flow in the slab.
10%· Feb 26, 2021· The case (c = 0), Fig. 2a, corresponds to an isotropic vertical porous layer, for which the flow and temperature fields are similar to the results obtained in the past by Bejan and Vasseur et al. . As discussed in detail by these authors, the main features of the convective flow are that the vertical boundary layer thickness is constant and ...
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Natural Convection From Two horizontal or vertical porous layer have been reported in papers by Prasad et al. 11, Lai et al. 12 and Lai and Kulacki 13. Thermal Sources in a Vertical Porous Free convection along a single heat source has been considered in …
In 1999, Pop and Postelnicu [15] perceived similar solutions of free convection boundary layers over vertical and horizontal surface porous media with internal heat generation. In 2009, Cao and Baker [16] presented the slip effects on mixed convection flow and heat transfer from a vertical plate.
Two-dimensional, steady mixed convection in a vertical porous layer has been numerically studied for the case when a finite isothermal heat source is located on one vertical wall which is otherwise adiabatic and the other vertical wall is isothermally cooled.