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Basic Thermal Science
Published in T. Agami Reddy, Jan F. Kreider, Peter S. Curtiss, Ari Rabl, Heating and Cooling of Buildings, 2016
T. Agami Reddy, Jan F. Kreider, Peter S. Curtiss, Ari Rabl
A perfect gas, on the other hand, is one for which the product (pv) is proportional to temperature T. Specifically, the ratio of pressure p times molar volume v¯ divided by absolute temperature T is observed to be a constant—the ideal gas constant—as the pressure of the gas is allowed to approach zero. That is, limp→0pv¯T=R*
Some Recallings of Physics
Published in Jean-Louis Burgot, Thermodynamics in Bioenergetics, 2019
Now, the definition of temperature is set up in terms of measurements of volumes of gases. It is founded on the perfect gas law: () pV = nRT(p,V, T are the pressure, volume and absolute temperature of the gas. n is the number of moles of the gas and R is a constant named perfect gas constant R = 8,314 J K−1).
Thermodynamic Basics
Published in Keith L. Richards, Design Engineer's Sourcebook, 2017
Boyle’s law states that provided the temperature ‘T’ of a perfect gas remains constant, the volume ‘V’ of a given mass of gas is inversely proportional to its pressure ‘P’ of the gas, that is, P∝1/V (as shown in Figure 12.1) or P × V = constant if the temperature remains constant.
Multi-fidelity parametric sensitivity estimation for large eddy simulation with the Spalart–Allmaras model
Published in Journal of Turbulence, 2023
Nikhil Oberoi, Walter Arias-Ramírez, Johan Larsson
The nominal condition is a shock impinging at an angle on an incoming boundary layer with freestream Mach number and Reynolds number . At the wall, we enforce a no-slip boundary condition for velocity and an isothermal temperature . Here, the subscript e denotes the free stream/ boundary layer edge condition and w denotes the wall condition, θ is the boundary layer momentum thickness. The recovery temperature denotes the temperature of an adiabatic wall. For this work, we use an ideal gas equation of state for a calorically perfect gas with a specific heat ratio , viscosity varying with temperature according to a power law with exponent being 0.75 and . The streamwise coordinate is normalised by the inviscid impingement location and the incoming boundary layer thickness δ. The incoming freestream values and are used for non-dimensionalisation.
Turbulent Combined Heat Transfer in a Vertical Square Duct under Variable Thermophysical Properties and Non-Boussinesq Condition
Published in Heat Transfer Engineering, 2021
Farzad Bazdidi-Tehrani, Vadoud Emdadi Hor
The fourth and last validation test is concerned with the variable thermophysical properties formulations. This case is based on a fully developed turbulent flow between two horizontal parallel plates in the presence of a high-temperature gradient. In order to model this, Toutant and Bataille [17] have used LES to specify the turbulence statistics. The upper plate is hot while the lower one is cold. The density variation is based on the perfect gas equation of state. Changes in the thermal conductivity and dynamic viscosity are on the basis of the Sutherland law based on the channel half width and mean velocity is 6400. The mean temperature profiles are compared in Figure 4 and the results show good agreement between the present simulations and those of reference [17].
An extended flame index partitioning for partially premixed combustion
Published in Combustion Theory and Modelling, 2021
Enric Illana, Daniel Mira, Arnaud Mura
The different modelling approaches have been implemented in the thermophysical module of OpenFOAM-4.0. It solves the following set of conservation equations for mass, momentum, species mass fractions, and enthalpy: Consistently with Equations (12) and (13), and as aforementioned in Section 2.3, Lewis number effects are not considered (i.e. ). The above system is complemented with the perfect gas equation of state (EoS): where standard notations have been retained: is the universal gas constant, is the molecular weight of the multi-component mixture, and , the one of the chemical species α.