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- W2060932101 abstract "This paper considers the flow of a gas through a porous solid, when temperature differences exist between gas and solid and heat is exchanged between them. It attempts to determine the velocity and both temperature distributions, all of which in general are interdependent, in the general case of three independent space variables and of one time variable. It postulates both a simple heat-transfer equation suggested by an experimental paper and a generalization of Darcy’s law, which states that the velocity of flow of the gas is proportional to the pressure gradient. In addition, it makes use of the perfect gas and continuity equations. The heat-transfer equations (25) are deduced. Some special cases are solved explicitly. In general, a numerical solution is necessary, and an example of such a solution is given for steady axisymmetric flow. A case of linear flow with the variables periodic in time is solved analytically. Two applications of this theory are ‘sweat cooling’, which is used in gas turbines, and the design of heat exchangers." @default.
- W2060932101 created "2016-06-24" @default.
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- W2060932101 date "1954-01-07" @default.
- W2060932101 modified "2023-09-27" @default.
- W2060932101 title "Mathematical theory of the flow of a gas in a porous solid and of the associated temperature distributions" @default.
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- W2060932101 doi "https://doi.org/10.1098/rspa.1954.0001" @default.
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