Free convection in a grainy layer along a vertical wall

1981 ◽  
Vol 40 (1) ◽  
pp. 40-44
Author(s):  
D. A. Narinskii
2006 ◽  
Vol 45 (5) ◽  
pp. 487-493 ◽  
Author(s):  
Irfan Anjum Badruddin ◽  
Z.A. Zainal ◽  
P.A. Aswatha Narayana ◽  
K.N. Seetharamu ◽  
Lam Weng Siew

2020 ◽  
Vol 307 ◽  
pp. 01029
Author(s):  
Mohamed Amine Medebber ◽  
Nourddine Retiel ◽  
belkacem Ould said ◽  
Abderrahmane Aissa ◽  
Mohammed El Ganaoui

A transient two dimensional study of free convection in a vertical cylinder partially annulus is conducted numerically. Uniform temperature is imposed cross a vertical wall, while the top and bottom walls are adiabatic. The governing equations are solved numerically by using a finite volume method. The coupling between the continuity and momentum equations is effected using the SIMPLER algorithm. Solutions have been obtained for Prandtl numbers equal to 7.0, Rayleigh numbers of 103to 106and height ratios 0.5. The influence of physical and geometrical parameters on the isotherms, velocity fields, average Nusselt has been numerically investigated.


2021 ◽  
Author(s):  
Raoudha Chaabane ◽  
Jemni Abdelmajid ◽  
Patrick Perré

Abstract Free convection heat transfer and flow characteristics in an open-ended enclosure occupied with fluid saturated porous media is highlighted in the present paper. All numerical investigations are achieved using the mesoscopic approach Thermal Lattice Boltzmann Method (TLBM) by using the Darcy- Forchheiman model. The bottom and the top sides of the porous enclosure are thermally isolated with complete or partially heated vertical wall facing the opening sidewall. The partial slice of left wall of the enclosure with a fixed heating length as (H /3), is isothermally heated at the middle, top and bottom locations. However, right side is open to the ambient physical conditions. The influences of partial heating location on free convection characteristics, namely isotherms, streamlines, centerline variations of horizontal and vertical, average and local Nusselt numbers are explored for Darcy number of 0.01, porosity of 0.4, Rayleigh number of =106 and unity Prandtl number.


2017 ◽  
Vol 27 (10) ◽  
pp. 2318-2332 ◽  
Author(s):  
Ioan Pop ◽  
Mikhail Sheremet

Purpose The main purpose of this numerical work is to study free convection of Casson fluid in a square differentially heated cavity taking into account the effects of thermal radiation and viscous dissipation. Design/methodology/approach The cavity is heated from the left vertical wall and cooled from the right vertical wall while horizontal walls are insulated. The governing partial differential equations invoking Rosseland approximation for thermal radiation with corresponding boundary conditions have been solved by finite difference method of the second-order accuracy using dimensionless variables stream function, vorticity and temperature. The governing parameters are Rayleigh number (Ra = 105), Prandtl number (Pr = 0.1, 0.7, 7.0), Casson parameter (γ = 0.1-5.0), radiation parameter (Rd = 0-10), Eckert number (Ec = 0-1.0). Findings It is found that an increase in Casson parameter leads to the heat transfer enhancement and fluid flow intensification. While a growth of Eckert number illustrates the heat transfer suppression. Originality/value The originality of this work is to analyze for the first-time natural convective fluid flow and heat transfer of a Casson fluid within a differentially heated square cavity under the effects of thermal radiation and viscous dissipation. The results would benefit scientists and engineers to become familiar with the flow behavior of such non-Newtonian fluids, and the way to predict the properties of this flow for possibility of using this specific fluid in various engineering and industrial processes, such as chyme movement in intestine, blood flows, lubrication processes with grease and heavy oils, glass blowing, electronic chips, food stuff, slurries, etc.


1988 ◽  
Vol 110 (3) ◽  
pp. 604-607 ◽  
Author(s):  
S. Haq ◽  
C. Kleinstreuer ◽  
J. C. Mulligan

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