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What is the derivation of Navier-Stokes equation in cylindrical coordinates?

The Navier-Stokes equations describe the motion of fluid substances and can be derived in cylindrical coordinates by starting from the fundamental principles of conservation of momentum, mass, and energy. In cylindrical coordinates (r, θ, z), the equations account for the radial, angular, and axial components of velocity. The derivation involves applying the continuity equation for mass conservation and the momentum equations, incorporating the effects of pressure, viscous forces, and body forces while using the appropriate transformation of the Laplacian and divergence operators to fit the cylindrical coordinate system. The resulting equations capture the dynamics of fluid flow in cylindrical geometries.


What is the definition of slenderness ratio?

the ratio of the mean diameter of the body of a rocket or missile to its length


What is A toy in which you look into a hole at one end of a cylinder and see shifting designs as you rotate the other end?

The toy you are describing is called a "spirograph" or "viewfinder." It consists of a cylindrical body with a viewing hole at one end and a rotating mechanism at the other, allowing for the creation of intricate geometric patterns or designs. As you rotate the end, the internal components shift, producing mesmerizing visual effects. It’s a classic toy that combines art and science, often used to inspire creativity and exploration in children.


What is cylinder body?

A cylinder body, often referred to in the context of engines, is a key component that houses the pistons and facilitates the conversion of fuel energy into mechanical work. It typically consists of a cylindrical metal casing that provides structural integrity and maintains the alignment of the moving parts. In broader terms, a cylinder body can also refer to any cylindrical container or structure designed to hold or contain substances. In engineering, it plays a crucial role in determining the efficiency and performance of the system it is part of.


What are the segments of an annelid called?

The segments of an annelid are called "metameres" or "somites." Annelids, such as earthworms and leeches, have a body that is divided into these repeating segments, which are separated by internal and external septa. This segmentation allows for greater flexibility and mobility, as well as the specialization of certain segments for specific functions.

Related Questions

What is the word for the internal diameter of a cylindrical body?

The word in Calibre


What is the name for the internal diameter of a cylindrical body especially the bore of a firearm?

Caliber (or calibre) and guage.


What is an animal that can't control its internal body temperature called?

The animals that control it internal body is called indpendent animal


What is an internal body-support structure called?

An internal body-support structure is called a skeleton. It provides support, protection, and structure for the body.


The doctor who cures the diseases of the internal organs of the body is called?

A doctor who specializes in treating diseases of the internal organs of the body is called an internist, or internal medicine physician. They diagnose, manage, and treat a wide range of conditions affecting the internal systems of the body.


What is the largest internal organ in the human body and how long is it?

small intestine, its only called the small intestine because it is small in diameter (width) but im not too sure exactly how long it is....


Has a long cylindrical body pseudocoelom and gets its shape from its epidermis and cuticle?

This description matches the anatomy of a roundworm, also known as a nematode. Nematodes are unsegmented worms with a long, cylindrical body that is covered by an epidermis and cuticle. They have a fluid-filled body cavity called a pseudocoelom.


What is an abnormal passage from an internal organ to the body surface or between two internal organs is called?

An abnormal passage between an internal organ and the body surface or between two internal organs is called a fistula. This can be due to various reasons such as infection, inflammation, or injury. Treatment typically involves addressing the underlying cause and may require surgical intervention.


The internal structure and arrangement of the body is called?

The internal structure and arrangement of the body is called anatomy. Anatomy involves studying the relationship between body parts as well as their individual structures. It is essential for understanding how the body functions and how diseases or conditions may affect it.


When the internal body structure of a vehicle is used as a frame it is called?

When the internal body structure of a vehicle is used as a frame, it is called a unibody structure. This design integrates the vehicle's body and frame into a single unit, providing structural strength and reducing weight.


What is the state of equilibrium in the internal environment bodY called?

The state of equilibrium in the internal environment of the body is called homeostasis. It involves the body's ability to regulate and maintain stable internal conditions, such as temperature, pH, and nutrient levels, despite external changes. Homeostasis is crucial for optimal physiological functioning and overall health.


What is a reptile with a scaly limbless cylindrical body?

a Snake.