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The characteristic Mach number, often denoted as M*, is a dimensionless parameter used in fluid dynamics to describe the behavior of compressible flows, particularly when analyzing the effects of compressibility on fluid properties. The characteristic Mach number, M*, is used to determine the degree of compressibility effects in a fluid flow.  Characteristic Mach number (M*) […]

The speed of sound under isothermal conditions, often denoted as aT​, refers to the rate at which pressure waves or disturbances propagate through a medium when the temperature of the medium remains constant. In other words, it’s the speed at which sound travels through a substance while experiencing no temperature change.    aT​ is the

The isothermal compressibility (τT) is a thermodynamic property that measures how much the volume of a substance changes in response to a change in pressure while maintaining temperature constant. It’s important to note that the isothermal compressibility is usually not a constant value for most substances; it can vary with different conditions and depends on

It is the relationship between a constant (c1​), specific volume (v), pressure (p), and the specific heat ratio (γ). Express a relationship between properties of a gas, possibly in a specific scenario or under certain assumptions. The specific heat ratio (γ) plays a role in determining the behavior of the gas.  c1​ is a constant.

It is an inverse relationship between specific volume and pressure, where specific volume decreases as pressure increases. The specific heat ratio (γ) typically indicates the behavior of the gas, relating to how its temperature changes as pressure changes. It represents a relationship between specific volume (v), pressure (p), and a constant (c1​) involving the specific

It is the equation of state for an ideal gas under certain assumptions. The equation of state describes how the thermodynamic properties of a substance (in this case, an ideal gas) relate to each other. It represents a relationship between pressure (p), specific volume (v), and a constant (c) raised to the power of the

The kinetic energy correction factor is a term used in fluid dynamics to adjust for the kinetic energy of a fluid flow in relation to its internal energy. This correction factor is often applied in compressible flow analyses, where the speed of the fluid is significant compared to the speed of sound. It accounts for

The ratio of kinetic energy to internal energy refers to the relative magnitudes of the kinetic energy and internal energy within a substance, typically a fluid like a gas. Kinetic energy and internal energy are both forms of energy associated with the motion and molecular activity of particles within the substance.  V is the velocity

Isentropic compressibility (τs) is a thermodynamic property that quantifies how a substance’s volume changes in response to a change in pressure while maintaining entropy constant. In other words, it measures the relative change in volume per unit change in pressure under isentropic conditions.  Density (ρ)  Speed of sound (a)

The temperature within a wind tunnel duct refers to the thermal state of the fluid or gas as it flows through the confined passage of the wind tunnel. It represents the average kinetic energy of the molecules that make up the fluid or gas. Changes in pressure due to the shape and design of the