Q1. What are the contributions in this paper?
In this paper, the stability of convection in a horizontal porous layer subjected to horizontal as well as vertical temperature gradients is investigated.
Convection in a porous medium with horizontal and vertical temperature gradients
TLDR
In this paper, the stability of convection in a horizontal porous layer subjected to horizontal as well as vertical temperature gradients is investigated, and the preferred mode of disturbance is stationary, being longitudinal rolls, i.e. rolls having axes aligned in the direction of the basic flow.About:
This article is published in International Journal of Heat and Mass Transfer.The article was published on 1974-02-01 and is currently open access. It has received 73 citations till now. The article focuses on the topics: Rayleigh number & Heat flux.read more
Citations
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Book ChapterDOI
Heat Transfer in Geothermal Systems
TL;DR: In this paper, the authors discuss the mathematical formulation of convective heat transfer in geothermal systems and the prediction of reservoir behavior under production can be obtained by idealizing it as a saturated porous medium.
Journal ArticleDOI
Numerical study of natural convection in a tilted rectangular porous material
TL;DR: In this paper, the mass, momentum and energy balance equations for two-dimensional natural convective flow in a tilted rectangular porous material saturated with fluid are analyzed by solving numerically the mass and momentum equations, using Darcy's law and the Boussinesq approximation.
Journal ArticleDOI
Convection in a vertical slot filled with porous insulation
TL;DR: In this paper, a simple analytical formula for calculating the heat transfer is presented, after obtaining a matching coefficient by comparison with numerical solutions, for both free and forced convection, simulating wall leakage in common building structures, are considered.
Journal ArticleDOI
Natural convection in porous media bounded by concentric spheres and horizontal cylinders
Patrick J. Burns,Chuen-Lin Tien +1 more
TL;DR: In this paper, the results of an analytical investigation of natural convection in porous media completely enclosed by concentric spheres and horizontal cylinders have been reported, showing that a maximum value of the heat transfer occurs for the spherical and cylindrical geometries dependent solely upon the radius ratio for each geometry.
References
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Journal ArticleDOI
Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures
TL;DR: In this article, the authors considered the two-dimensional convective motion generated by buoyancy forces on the fluid in a long rectangle, of which the two long sides are vertical boundaries held at different temperatures, and determined the rate of transfer of heat between the two vertical boundaries.
Journal ArticleDOI
On the stability of steady finite amplitude convection
TL;DR: In this paper, a systematic method is presented which yields the finite-amplitude steady solutions by means of successive approximations, and a similar procedure is applied to the stability problem for these steady finite amplitude solutions with the result that three-dimensional solutions are unstable but there is a class of two-dimensional flows which are stable.
Journal ArticleDOI
Steady state free thermal convection of liquid in a saturated permeable medium
TL;DR: In this article, the partial differential equations which describe steady flow of fluid in saturated homogeneous permeable solid material under non-isothermal conditions are derived using suitable approximations and making use of empirical laws when necessary.
Journal ArticleDOI
Criterion for the onset of convective flow in a fluid in a porous medium
Yoshiro Katto,Takashi Masuoka +1 more
TL;DR: In this article, the authors make a careful study of the breakdown of stability of a layer of fluid subject to a vertical temperature gradient in a porous medium, and give a conclusive cirterion for the onset of convection currents.
Journal ArticleDOI
On steady convection in a porous medium
TL;DR: In this article, the dependence of the Nusselt number on the Rayleigh number was examined to the sixth order using an expansion for the RPN proposed by Kuo (1961).