Computational Modeling of Shallow Geothermal Systems by Rafid Al-Khoury

By Rafid Al-Khoury

A step by step consultant to constructing cutting edge Computational instruments for Shallow Geothermal Systems

Geothermal warmth is a possible resource of strength and its environmental impression by way of CO2 emissions is considerably less than traditional fossil fuels. Shallow geothermal structures are more and more applied for heating and cooling of structures and greenhouses. although, their usage is inconsistent with the large quantity of strength to be had beneath the skin of the earth. initiatives of this nature are usually not getting the general public aid they deserve as a result of the uncertainties linked to them, and this may basically be attributed to the inability of applicable computational instruments essential to perform potent designs and analyses. For this strength box to have a greater aggressive place within the renewable strength marketplace, it's important that engineers gather computational instruments, that are actual, flexible and effective. This publication goals at reaching such tools.

This ebook addresses computational modeling of shallow geothermal platforms in massive aspect, and offers researchers and builders in computational mechanics, geosciences, geology and geothermal engineering with the ability to increase computational instruments able to modeling the complex nature of warmth circulate in shallow geothermal structures in relatively trouble-free methodologies. Coupled conduction-convection versions for warmth movement in borehole warmth exchangers and the encircling soil mass are formulated and solved utilizing analytical, semi-analytical and numerical tools. history theories, better through numerical examples, invaluable for formulating the versions and undertaking the options are completely addressed.

The booklet emphasizes major elements: mathematical modeling and computational systems. In geothermics, either features are significantly tough due to the concerned geometry and actual procedures. even though, they're hugely stimulating and encouraging. a superb blend of mathematical modeling and computational approaches can significantly lessen the computational efforts. This e-book completely treats this factor and introduces step by step methodologies for constructing cutting edge computational versions, that are either rigorous and computationally efficient.

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Extra info for Computational Modeling of Shallow Geothermal Systems (Multiphysics Modeling)

Sample text

20) in which λαβ represents the thermal conductivity of component α in contact with component β, and similarly Tαβ represents the temperature of component α in contact with component β. The first term on the right hand side of Eq. 20) describes heat conduction, and the second term describes heat convection. Obviously, for a U-tube borehole heat exchanger consisting of pipe-in, pipe-out and grout, heat conduction and convection occurs in pipe-in and pipe-out, but in the grout, only conduction takes place.

According to Eq. 29) D w Tw = −div q˜ w + ρw Qw Dt where the subscripts s and w represent the solid and water phases respectively. These macroscopic energy equations can also be obtained from any other mixture theory or those obtained from the continuum theory, but they differ in the thermal interaction between the two constituents within the pores, namely q˜ s and q˜ w . Quantification of this interaction at the microscopic level in complicated materials, such as in natural soil masses, is rather difficult and in many cases not necessary.

48) Re = µ where Dh is the hydraulic diameter of the pipe. Reynolds number is used as a measure of flow, whether laminar, transient or turbulent. 50) Pr = = α λ where cp is the specific heat, µ is the dynamic viscosity, and λ is the thermal conductivity. In heat transfer problems, the Prandtl number is a measure of diffusion with respect to the fluid velocity. For Pr = 1, the temperature profile coincide with the velocity profile. 6 < Pr < 1). 01, for liquid metals that have high thermal conductivities (Pitts and Sisson 1998).

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