The Flow of Compressible Fluids Through Porous Media and Some Problems in Heat Conduction

Physics ◽  
1934 ◽  
Vol 5 (3) ◽  
pp. 71-94 ◽  
Author(s):  
Morris Muskat
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Compressible Fluids

Interface stability of compressible fluids in porous media

2021 ◽  
Vol 33 (8) ◽  
pp. 084102
Author(s):  
Thi Thai Le ◽  
Thorsten Koch
Keyword(s):  
Porous Media ◽  
Compressible Fluids ◽  
Interface Stability

scholarly journals The Single-Blow Problem Including the Effects of Longitudinal Conduction

1964 ◽  
Author(s):  
C. P. Howard
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Heat Conduction ◽  
Transient Behavior ◽  
Step Change ◽  
Graphical Form ◽  
Compact Heat Exchanger ◽  
Fluid Temperature ◽  
Transfer Data ◽  
Method Of Calculation

The results are presented from a numerical finite-difference method of calculation for the transient behavior of porous media when subjected to a step change in fluid temperature considering the case where the longitudinal thermal heat conduction cannot be neglected. These results, given in tabular and graphical form, provide a useful means for evaluating the heat-transfer data obtained from the transient testing of compact heat-exchanger surfaces.

scholarly journals Effects of Coolants of Double Layer Transpiration Cooling System in the Leading Edge of a Hypersonic Vehicle

2021 ◽  
Vol 9 ◽  
Author(s):  
Shibin Luo ◽  
Zhichao Miao ◽  
Jian Liu ◽  
Jiawen Song ◽  
Wenxiong Xi ◽  
...  
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Double Layer ◽  
Cooling System ◽  
Convection Heat Transfer ◽  
Leading Edge ◽  
Hypersonic Vehicle ◽  
Transpiration Cooling ◽  
Stagnation Region ◽  
Operation Conditions

As a promising and efficient active cooling method, double layer transpiration cooling is introduced into the design of the cooling system in the leading edge of a hypersonic vehicle. The physical model is built combined with hypersonic transpiration cooling, film cooling, heat conduction, porous media heat conduction and convection heat transfer. In addition, effects of different kinds of coolants are considered to reveal cooling mechanisms in different operation conditions. A comprehensive turbulence model validation and mesh independence study are provided. Flow characteristics caused by flow impingement, separation, transition and interaction with the cooling flows are displayed and analyzed in the work. When different kinds of coolants supplied at the same mass flow rate, the coolants with low densities, i.e., H2 and He, have the lowest peak temperature compared with the coolants with large densities, i.e., N2 and CO2. The coolants with low densities have a large ejecting velocity which provides large kinetic energy to penetrate deeply in the porous media. In addition, when the ejecting velocity is large enough, a recirculation is formed in front of the leading edge and pushes the high temperature region located in stagnation region away from the leading edge. However, when the coolants are ejected at the same velocity, the coolants with large densities exhibit better cooling performance.

Analytical Methods for Heat Conduction in Composites and Porous Media

2008 ◽  
pp. 121-164 ◽  
Author(s):  
Vladimir V. Mityushev ◽  
Ekaterina Pesetskaya ◽  
Sergei V. Rogosin
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Analytical Methods

scholarly journals Effect of Elastic Deformation and Rough Grain Surface on Heat Conduction in Partially Saturated Granular Porous Media

2018 ◽  
Vol 54 (11) ◽  
pp. 9533-9548 ◽  
Author(s):  
Muhammad Fowaz Ikram ◽  
Roohollah Askari ◽  
S. Hossein Hejazi ◽  
Muhammad Sahimi
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Elastic Deformation ◽  
Partially Saturated ◽  
Granular Porous Media ◽  
Grain Surface

Nanofluid Suspensions as Derivative of Interface Heat Transfer Modeling in Porous Media

2009 ◽  
Author(s):  
Peter Vadasz
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Porous Media ◽  
Heat Conduction ◽  
Thermal Equilibrium ◽  
Local Thermal Equilibrium ◽  
Interface Heat Transfer ◽  
Wire Method ◽  
Special Case ◽  
Heat Conduction Process

Spectacular heat transfer enhancement has been measured in nanofluid suspensions. Attempts in explaining these experimental results did not yield yet a definite answer. Modeling the heat conduction process in nanofluid suspensions is being shown to be a special case of heat conduction in porous media subject to Lack of Local thermal equilibrium (LaLotheq). The topic of heat conduction in porous media subject to Lack of Local thermal equilibrium (LaLotheq) is reviewed, introducing one of the most accurate methods of measuring the thermal conductivity, the transient hot wire method, and discusses its possible application to dual-phase systems. Maxwell’s concept of effective thermal conductivity is then introduced and theoretical results applicable for nanofluid suspensions are compared with published experimental data.

scholarly journals Transient Fluid Motions in Saturated Porous Media

1957 ◽  
Vol 10 (1) ◽  
pp. 43 ◽  
Author(s):  
JR Philip
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Heat Conduction ◽  
Exact Solutions ◽  
Kinematic Viscosity ◽  
Saturated Porous Medium ◽  
Steady Motion ◽  
Potential Gradient ◽  
Saturated Porous Media ◽  
Approximate Analysis

The transition from rest to steady motion on the sudden application of a potential gradient to the fluid contained in a saturated porous medium is investigated. An approximate analysis gives the result that the time of the effective establishment of the steady motion is proportional to the permeability and inversely proportional to the kinematic viscosity. Two exact solutions (one of them new) for simple cases suggest that the approximate analysis is remarkably accurate. An analogy between this problem and one in heat conduction makes the relevant results in that field immediately applicable here.

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