Mach Number - Problem 1 - Compressible Fluid Flow - Fluid Mechanics 1

TL;DR

Calculate the sonic velocity in crude oil and mercury using their specific gravity and bulk modulus.

Transcript

as we have studied in compressible flow that is mach number which is equals to velocity of the fluid to the velocity of the sun as well as we have studied various formulas of velocity of sound in adiabatic process isothermal process and for a compressible fluid so let's study and apply these equations and solve real life problems on that number so ... Read More

Key Insights

• ❓ The sonic velocity in a fluid depends on its specific gravity and bulk modulus.
• 👂 The intermolecular distances between particles in a fluid affect the velocity of sound.
• 💨 Sound travels faster in fluids with higher density and lower intermolecular distances.
• 👂 Calculating the square root is crucial when finding the velocity of sound.
• 🛢️ The specific gravity of crude oil is 0.8, while the specific gravity of mercury is 13.6.
• ✖️ The density of a fluid can be calculated by multiplying its specific gravity by 1000.
• 😉 Sonic velocity can be determined using the formula c = sqrt(k/ρ), where c is the sonic velocity, k is the bulk modulus, and ρ is the density of the fluid.

Questions & Answers

Q: How is the sonic velocity calculated in different fluids?

The sonic velocity in a fluid can be calculated using the formula c = sqrt(k/ρ), where c is the sonic velocity, k is the bulk modulus, and ρ is the density of the fluid.

Q: What are the values of specific gravity for crude oil and mercury?

The specific gravity of crude oil is 0.8, while the specific gravity of mercury is 13.6.

Q: How do you calculate the density of a fluid from its specific gravity?

To calculate the density of a fluid from its specific gravity, multiply the specific gravity by 1000 (for fluids in kg/m^3).

Q: What is the importance of calculating the square root when finding the velocity of sound?

Calculating the square root of the entire fraction is crucial because it gives the correct value of the velocity of sound in the fluid.

Summary & Key Takeaways

• The video discusses calculating the sonic velocity, which is the velocity of sound, for different fluids like crude oil and mercury.

• The method involves using the specific gravity and bulk modulus of the fluid to determine the velocity of sound.

• The video provides step-by-step calculations for finding the sonic velocity in both crude oil and mercury.