fluid dynamics part 01

Описание: Here is a timeline of the topics covered in this video:

Introduction to Fluid Dynamics and Vector Calculus Prerequisites (0:00-0:40)
Fundamentals of Vector Calculus (0:46-4:57)
Vector representation (1:13)
Modulus and unit vector (2:19)
Dot and cross product (3:37)
Scalar and vector triple product (4:50)
Differential Operators (5:01-11:50)
Gradient (5:01)
Total differential (7:33)
Divergence (9:01)
Curl (10:25)
Gauss Divergence Theorem and Stokes' Theorem (10:57)
Orthogonal Curvilinear Coordinates (12:00-16:31)
General formulas (14:03)
Cylindrical coordinates (15:32)
Spherical coordinates (16:12)
Introduction to Fluid Dynamics (16:39-18:45)
Definition of Fluid Dynamics (16:54)
Incompressible and compressible fluids (17:12)
Differences between solids, liquids, and gases (17:55)
Methods of Studying Fluids and Concepts (18:50-22:45)
Microscopic and macroscopic study (18:59)
Continuum approach (19:37)
Stress: Body Force and Surface Force (20:11)
Viscosity (21:47)
Fluid Motion and Flow Characteristics (22:52-26:54)
Velocity of a fluid at a point (22:52)
Stagnation point (26:01)
Flux across any point (26:13)
Methods for Studying Fluids: Eulerian and Lagrangian (29:33-34:52)
Eulerian (Local) method (29:43)
Lagrangian (Global) method (30:19)
Material Derivative (33:33)
Types of Flow (34:05-37:11)
Laminar vs. Turbulent Flow (34:05)
Uniform vs. Non-Uniform Flow (35:17)
Steady vs. Unsteady Flow (35:34)
Rotational vs. Irrotational Flow (35:56)
Barotropic Flow (37:13)
Flow Lines (37:31-44:52)
Streamline (37:40)
Path Line (41:21)
Streak Line (42:19)
Collective term: Flow Lines (44:33)
Velocity Potential (44:54)