The equation V(P)=V oB ln[(1+C(P1)], where V is volume at any pressure ( P), V o the volume at 1 bar and B and C fitted parameters, is shown to be useful as an equation of state for many solids over a large pressure range. The solids (maximum pressure in bracket) ...
Ideal gas, a gas that conforms, in physical behavior, to a particular idealized relation between pressure, volume, and temperature called the ideal gas law, which states that the product of the volume and pressure is proportional to the absolute temperat
Clapeyron equation (also called the Clausius-Clapeyron equation) is a relation between pressure and temperature of two phases of a pure substance that are in equilibrium, dp / dT = ΔS / ΔV where ΔtrsS is the difference in entropy between the
: an equation that defines the physical state of a homogeneous gas, is a modification of the ideal-gas equation, and more nearly describes the properties of actual gases: (p + (a/v2)) (v−b)=RT where p is the pressure, v the specific volume, R the gas constant, T the absolute ...
An equation of state (EOS) is an analytical expression relating the pressure, p, to the temperature, T, and the volume, V. A proper description of this PVT relationship for real hydrocarbon fluids is essential in determining the volumetric and phase behavior of petroleum reservoir fluids and pr...
The branch of the calculus concerned with calculatingintegralsis theintegralcalculus, and among its many applications are findingworkdone by physical systems and calculating pressure behind a dam at a given depth. John L. Berggren
The pulse-decay method is believed to be more suitable than the steady-state method for permeability measurements on tight porous media because it records pressure variations instead of flow rates and does not require the establishment of a steady state. Most of the previous analytical solutions for...
which describes the evolution of the velocity fielduof an ideal fluid (pis the scalar pressure), fromNewton’s laws of mechanicsfor the motion ofNindistinguishable particles with binary interactions (1.2) Here,denote the position and momentum, respectively, of thei-th particle, in the phase space...
fluid in equilibrium there is only one value of the local pressure (p) consistent with the stated values for ρ andT. These three quantities are linked together by what is called theequation of statefor the fluid. Get Unlimited Access
Joshua E. Greenspon, in Encyclopedia of Physical Science and Technology (Third Edition), 2003 VI.A Propagating Waves The acoustic wave equation states that the pressure satisfies the equation: (62)c2∇2p=∂2p∂t2 For illustrative purposes, consider the one-dimensional case in which the waves...