Biot coefficient
The Biot number is defined as: $${\displaystyle \mathrm {Bi} ={\frac {h}{k}}L}$$ where: $${\displaystyle {k}}$$ is the thermal conductivity of the body [W/(m·K)]$${\displaystyle {h}}$$ is a convective heat transfer coefficient [W/(m ·K)]$${\displaystyle {L}}$$ is a characteristic length [m] of the … See more The Biot number (Bi) is a dimensionless quantity used in heat transfer calculations, named for the eighteenth-century French physicist Jean-Baptiste Biot (1774–1862). The Biot number is the ratio of the thermal resistance for … See more • Convection • Fourier number • Heat conduction See more The value of the Biot number can indicate the applicability (or inapplicability) of certain methods of solving transient heat transfer problems. For example, a Biot number smaller … See more An analogous version of the Biot number (usually called the "mass transfer Biot number", or $${\displaystyle \mathrm {Bi} _{m}}$$) is also used in mass diffusion processes: See more WebMay 14, 2024 · The subsurface rock formations may contain predominantly the intragranular matrix porosity in the sedimentary rocks and predominantly the fracture porosity in the nonporous crystalline rocks (Brace 1980, 1984; Merriam et al. 2007).The Biot or the Biot–Willis effective stress coefficient (Biot 1941; Biot and Willis 1957) is an essential …
Biot coefficient
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WebBiot Number. Bi is the Biot number, which is a dimensionless number that represents the ratio of the resistance to heat transfer from the inside of the body to the surface of the body (52). ... where k f is the film mass transfer coefficient, d p is the particle diameter, and D eff is the effective diffusion coefficient. The k f value of bovine ... Web2 days ago · These findings suggest that the anisotropy of the Biot coefficient has a significant impact on deformation caused by frost action, and therefore numerical simulations should adequately consider this factor. The second paper is from Dolaana Khovalyg, Alexandre Mudry, and Thomas Keller from Ecole Polytechnique Fédérale de …
WebNov 3, 2024 · Abstract. Predicting the behavior of a saturated rock with variations in pore fluid pressure during geo-energy production and storage, deep geological disposal of nuclear wastes, etc. with skeletal mechanical behavior in the linear elastic range is carried out using the isothermal theory of poroelasticity that incorporates Biot's effective stress … WebJun 10, 2024 · Abstract. The theory of the deformation of a porous elastic solid containing a compressible fluid has been established by Biot. In this paper, methods of measurement are described for the determination of the elastic coefficients of the theory. The physical interpretation of the coefficients in various alternate forms is also discussed. Any …
WebJul 10, 2024 · Biot coefficient and elastic moduli are typically assumed to have a constant value for analyzing poroelastic effects of fluid injection. To investigate the stress–pore pressure dependency of Biot coefficient and elastic moduli, we conducted a series of laboratory experiments on a porous dolomite core sample from a reef in Michigan basin. WebApr 22, 2024 · Abstract. The objective of this paper is to develop an easy to use correlation for estimating Biot coefficient. This is important as Biot coefficient plays an important …
WebJun 10, 2013 · The fraction of the pore pressure is termed the Biot effective stress coefficient. A precise determination of the effective stress is needed to predict compaction, since it is the effective stress ...
WebApr 10, 2024 · The Biot coefficient is an important aspect of the theory of classical poroelasticity since it accounts for the rational estimation of effective stresses in a fluid-saturated porous media. The effective stresses ultimately control the deformations and failure of the skeletal fabric. In principle, the Biot coefficient can be estimated if the ... tip\\u0027s azWebMay 19, 2024 · However, the area-averaged overall cooling effectiveness uniformity coefficient depends on the Biot number. Film cooling is widely applied as an effective … tip\\u0027s bWebRefresher of Biot’s static poroelasticity model Biot’s dynamic poroelastic model from the non-equilibrium filtration theory Low frequency reflections from a plane interface … tip\\u0027s bgWebThe time-derivative terms of poroelasticity are (1) where is the Biot modulus: (2) is the fluid porepressure, is the Biot coefficient, is the volumetric strain, is the porosity, is the solid (drained) bulk modulus, and is the fluid bulk modulus. Evidently from Eq. bawang merah naik ambonWebThe Biot coefficient is the fluid volume change induced by bulk volume changes in the drained condition. However, there is experimental evidence showing a difference … tip\\u0027s bjWebMay 1, 2024 · @article{osti_1375031, title = {Evolution of permeability and Biot coefficient at high mean stresses in high porosity sandstone}, author = {Ingraham, Mathew D. and Bauer, Stephen J. and Issen, Kathleen A. and Dewers, Thomas A.}, abstractNote = {A series of constant mean stress (CMS) and constant shear stress (CSS) tests were … tip\u0027s bjWebFeb 1, 2010 · Biot's coefficient is a measure of sediment stiffness. In the present paper we addressed how this is related to the stress of pore collapse and creep for the calcareous … tip\\u0027s am