What is general curvilinear coordinate system?
In geometry, curvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. Curvilinear coordinates are often used to define the location or distribution of physical quantities which may be, for example, scalars, vectors, or tensors.
What is orthogonal curvilinear coordinate system?
When the system of curvilinear coordinates is such that the three co- ordinate surfaces are mutually perpendicular at each point, it is termed an. orthogonal curvilinear coordinate system. In this event the unit tangent. vectors to the coordinate curves are also mutually perpendicular at each.
What is a curvilinear figure?
consisting of or bounded by curved lines: a curvilinear figure. forming or moving in a curved line. formed or characterized by curved lines.
What is a curvilinear boundary?
Answer : Closed curve : When curve is closed and form a region that is covered by curve line . And boundary of this curve is called curvilinear boundary of close curve , And. When curve is closed and form a region that is covered by straight line .
What do you mean by orthogonal coordinate system?
An orthogonal coordinate system is a system of curvilinear coordinates in which each family of surfaces intersects the others at right angles. Orthogonal coordinates therefore satisfy the additional constraint that. (1) where is the Kronecker delta.
What is an orthogonal coordinate system give examples?
For example, the three-dimensional Cartesian coordinates (x, y, z) is an orthogonal coordinate system, since its coordinate surfaces x = constant, y = constant, and z = constant are planes that meet at right angles to one another, i.e., are perpendicular. …
What is curvilinear in architecture?
The style is characterized by a curving line used to form abstract patterns, such as spirals, circles, swirls, and S-shapes, as well as to define human facial features. The straight line and the right angle are practically nonexistent in both the abstract and the anthropomorphic types of ornamentation.
What are the examples of curvilinear motion?
Give examples of curvilinear motion.
- Throwing the ball into the air in a curved way,
- Motion of a jet in curved path.
- Turning a car.
- Planets revolving around the orbit.