isentropic

Examples of isentropic in the following topics:

• Isentropic flows

  • In such an isentropic flow, the entropy will remain constant and we can derive some additional useful forms.
  • If we assume that ${\bf F}/m = -\nabla \phi$ which is often the case, we find that if the flow in an isentropic, ideal fluid is initially irrotational it will remain irrotational.
  • if $\displaystyle {\bf F}/m = -\nabla \phi$, so the circulation around a contour moving with the fluid is constant if the flow is isentropic.
  • The circulation around a close contour (bold lines) that travels with the fluid along the streamlines (light lines) is conserved if the fluid is isentropic.

• Hydrostatics

  • An interesting and important case is when the fluid is isentropic as well, then we have
  • or that isentropic stars must have constant angular velocity on cylindrical surfaces.

• Adiabatic Processes

  • According to the third law, the reason that T=0 cannot be reached is explained as follows: Suppose the temperature of a substance can be reduced in an isentropic process by changing the parameter X from X2 to X1.
  • Horizontal lines represent isentropic processes, while vertical lines represent isothermal processes.

• Problems

  • Hint: the equation of state of an isentropic fluid is $P = K\rho^\gamma$ where the value of $K$ increases with increasing entropy.

• Specific Heat for an Ideal Gas at Constant Pressure and Volume

  • It is sometimes also known as the isentropic expansion factor:

• B.12 Chapter 12

  • Hint: the equation of state of an isentropic fluid is $P = K\rho^\gamma$ where the value of $K$ increases with increasing entropy.