![]() ![]() Only the last situation describes an intuitive behaviour for an ideal gas. If the parallel pressure was equal to static pressure, the energy density converged to zero for the limit of the null pressure only if the gas was compressible. When the gas was considered incompressible and the parallel pressure was equal to static pressure, the energy density maintained this unusual behaviour with small pressures. Bernoullis Principle states that fluids moving at higher. He investigated not only mathematics but also such fields as medicine, biology, physiology, mechanics, physics, astronomy, and oceanography. This result is rather unusual because the temperature tends to zero for null pressure. Conservation of energy, when applied to fluids in motion, leads to Bernoullis Principle. 29, Old Style, 1700, Groningen, Neth.died March 17, 1782, Basel, Switz.), the most distinguished of the second generation of the Bernoulli family of Swiss mathematicians. When the parallel pressure was uniform, the energy density distribution for incompressible approximation and compressible gas did not converge to zero for the limit of null static pressure. These expressions of the energy density are the main contributions of this work. For incompressible and compressible gas, the energy density expressions are written as a function of stagnation, static and parallel pressures, without any dependence on kinetic or gravitational potential energy densities. The application of Bernoulli’s equation and the corresponding relation for compressible fluids in the energy density expression has resulted in two new formulations. The modified model predicts that the energy density is the sum of kinetic and potential gravitational energy densities plus two terms with static and parallel pressures. The pressure from the ‘parallel random speed’ is denominated as parallel pressure. The difference between the component of the speed of a particle that is parallel to the gas speed and the gas speed itself is called ‘parallel random speed’. Bernoullis principle is valid for any fluid (liquid or gas) it is especially important to fluids moving at a high velocity. ![]() The model from molecular dynamic considerations that describes an ideal gas at rest with uniform density is modified to explore the gas in motion with non-uniform density and gravitational effects. The aim of this work is to study how Bernoulli’s equation determines the energy flow in a fluid, although Bernoulli’s equation does not describe the energy density itself. ![]() This work discusses the energy density distribution in an ideal gas and the consequences of Bernoulli’s equation and the corresponding relation for compressible fluids. ![]()
0 Comments
Leave a Reply. |