Fluid Dynamics: Key Concepts and Principles
Fluid Energy
- Kinetic Energy
- Potential Energy
- Internal Energy
Kinematic Viscosity
Dynamic Viscosity/Density
Streamlines
Tangent to flow velocity. Velocity potential is zero when the flow is irrotational or vorticity is “0”.
Bernoulli’s Equation is Applicable When
- Along a Streamline
- Inviscid
- Steady
- Incompressible
- No work is done
- No heat transfer
Bernoulli Equation was Developed by
Daniel Bernoulli and Leonhard Euler
Apply Shear Stress
- Solids: Will stop deforming
- Fluids: Continuously deform
Gage Pressure
Positive Pressure
Read MoreFluid Dynamics: Reynolds Number, Manometers, and Bernoulli’s Theorem
Reynolds’ Experiment
Osborne Reynolds, an Irish engineer, conducted a series of experiments in the 1880s to investigate the nature of fluid flow. His most famous experiment involved flowing water through a pipe and observing the flow behavior.
Procedure
Reynolds varied the flow rate of water through the pipe and observed the flow behavior using a dye. He noted that at low flow rates, the dye flowed smoothly and steadily through the pipe, indicating laminar flow. As the flow rate increased, the dye
Read MoreLasers and Optical Fibers: Principles and Applications
Lasers
Q1. Distinguish between spontaneous and stimulated emission of radiations (3 points). (3 Marks)
| Aspect | Spontaneous Emission | Stimulated Emission |
|---|---|---|
| Definition | Radiation emitted by an atom or molecule as it transitions from a higher energy state to a lower one, without external influence. | Radiation emitted when an external photon of appropriate energy interacts with an excited atom, causing it to release a photon identical to the incoming one. |
| Directionality | Emission is random and occurs in all directions, |
Galactic Structures and Universe Expansion: Key Insights
Structure of the Milky Way
Major Components
- Thin Disk: Contains most of the galaxy’s gas, dust, young stars, and active star formation (e.g., massive young stars in spiral arms).
- Thick Disk: Older stars, less gas and dust.
- Bulge: Dense cluster of old stars; includes the galactic center and possibly a bar structure.
- Halo: Sparse outer region containing ancient Population II stars and globular clusters; dominated by dark matter.
Challenges in Mapping
- The Sun’s position inside the galaxy obscures our view.
Relativistic Physics: Principles and Applications
Elements of Relativistic Physics
In 1905, Einstein published his Theory of Relativity concerning motion in inertial frames. In 1916, Einstein expanded his theory to include non-inertial systems and gravitation, naming it the “General Theory of Relativity.”
Relativity in Classical Mechanics
We know that the trajectory of a body depends on the observer. For example, consider a plane that drops an object:
- The pilot observes that the trajectory of the falling object is straight (reference system O’).
- However,
Understanding Energy: Types, Units, and Sources
Energy: Forms, Measurement, and Production
Types of Energy
- Electromagnetic Energy: Power manifested as radiation.
- Internal Energy: The sum of all energies less than that of the rest mass.
- Binding Energy or Chemical Energy: The energy that holds atoms and electricity together.
- Thermal Energy or Heat: Due to the motion of atoms and molecules, it is a form of kinetic energy.
- Nuclear Power: The energy contained in the nucleus of atoms; no more energy is rest mass.
Units of Energy Measurement
- Joule (J): The