Erratum: “Onset of Convection in a Porous Medium With Internal Heat Generation” (Journal of Heat Transfer, 1976, 98, pp. 49–54)

1976 ◽  
Vol 98 (2) ◽  
pp. 302-302
Author(s):  
R. D. Gasser ◽  
M. S. Kazimi
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Onset Of Convection

scholarly journals HEAT TRANSFER IN A POROUS MEDIUM OVER A STRETCHING SURFACE WITH INTERNAL HEAT GENERATION AND SUCTION OR INJECTION IN THE PRESENCE OF RADIATION

1970 ◽  
Vol 40 (1) ◽  
pp. 22-28 ◽  
Author(s):  
Tamanna Sultana ◽  
Sumon Saha ◽  
Mohammad Mansur Rahman ◽  
Goutam Saha
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Viscous Drag ◽  
Local Similarity ◽  
Stretching Surface ◽  
Suction Or Injection

Heat transfer in a porous medium over a stretching surface with internal heat generation and suction or injection has been analyzed numerically in the presence of radiation. In this analysis, the governing equations are transformed into a system of ordinary differential equations and solved them numerically using Nachtsheim-Swigert shooting iteration technique. The local similarity solutions for the flow and the heat transfer characteristics are presented graphically for various material parameters entering into the problem. The effects of the pertinent parameters on the local skin friction coefficient (viscous drag) and the Nusselt number (rate of heat transfer) are also displayed graphically. Keywords: Internal heat generation, suction, injection, radiation, Nusselt number.   doi: 10.3329/jme.v40i1.3469   Journal of Mechanical Engineering, Vol. ME40, No. 1, June 2009 22-28

scholarly journals Effects of porosity and heat generation on free convection in a porous trapezoidal cavity

2019 ◽  
Vol 23 (3 Part B) ◽  
pp. 1801-1811 ◽  
Author(s):  
Mohamed Mousa
Keyword(s):  
Heat Transfer ◽  
Finite Element Analysis ◽  
Porous Medium ◽  
Free Convection ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Element Analysis ◽  
Trapezoidal Enclosure ◽  
The Right

The problem of laminar free convection in a trapezoidal enclosure, filled with a fluidsaturated porous medium and with internal heat generation has been investigated using a penalty finite element analysis. The enclosure bottom wall is heated at a constant temperature and the top wall is subjected to a constant cold temperature whereas the left inclined wall is considered to be non-isothermal and the right inclined wall is isothermally cooled. The effects of the porosity of the medium and heat generation on the isotherms and streamlinesare investigated. The rate of heat transfer from the walls of the cavity is examined as well. The Prandtl number of the fluid is chosen to be 0.7 (air) whereas the value of the Rayleigh number is selected to be 105.

scholarly journals Vadasz Number Effects on Convection in a Horizontal Porous Layer Subjected to Internal Heat Generation and G-Jitter

Fluids ◽  
2020 ◽  
Vol 5 (3) ◽  
pp. 124
Author(s):  
Saneshan Govender
Keyword(s):  
Heat Transfer ◽  
Rayleigh Number ◽  
Porous Layer ◽  
Heat Generation ◽  
Critical Rayleigh Number ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Onset Of Convection ◽  
Vadasz Number ◽  
The Impact

Flow and heat transfer in a horizontal porous layer subjected to internal heat generation and g-jitter is considered for the Dirichlet thermal boundary condition. A linear stability analysis is used to determine the convection threshold in terms of the critical Rayleigh number. For the low amplitude, high frequency approximation, the results show that vibration has a stabilizing effect on the onset of convection when the porous layer is heated from below. When the porous layer is cooled from below and heated from above, the vibration has a destabilizing effect in the presence of internal heat generation. It is also demonstrated that when the top and bottoms walls are cooled and rigid/impermeable, the critical Rayleigh number is infinitely large and conduction is the only possible mode of heat transfer. The impact of increasing the Vadasz number is to stabilize the convection, in addition to reducing the transition point from synchronous to subharmonic solutions.

Onset of Convection in a Porous Medium With Internal Heat Generation

1976 ◽  
Vol 98 (1) ◽  
pp. 49-54 ◽  
Author(s):  
R. D. Gasser ◽  
M. S. Kazimi
Keyword(s):  
Porous Medium ◽  
Heat Generation ◽  
Lower Boundary ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Rigid Surface ◽  
Onset Of Convection ◽  
Rayleigh Numbers ◽  
Upper Boundary ◽  
Small Disturbances

The conditions leading to onset of thermal convection in a horizontal porous layer are determined analytically using the method of linear stability of small disturbances. The lower boundary is treated as a rigid surface and the upper boundary as a free surface. The critical internal and external Rayleigh numbers are determined for both stabilizing and destabilizing boundary temperatures. The predicted critical external Rayleigh number in the limit of no heat generation is in agreement with the critical number predicted for a porous medium heated from below.

Sign in / Sign up

Export Citation Format

Share Document