Author name: Bhagiya Prasad

The stream function (Ψ) is a mathematical concept used in fluid dynamics to describe the flow patterns of a two-dimensional, incompressible fluid. It helps visualize and analyze fluid motion by representing the streamlines, which are curves that are always tangent to the velocity vector of the fluid at a given point.   Strength of the Doublet […]

Induced velocity at a specific point P refers to the change in velocity that is caused by the presence of some external influence, such as a moving object or a flow pattern, at that particular point. In fluid dynamics, induced velocity is commonly associated with the influence of vortices, sources, or other flow elements on

The stream function (Ψ) is a mathematical concept used in fluid dynamics to describe the flow patterns of a two-dimensional, incompressible fluid. It helps visualize and analyze fluid motion by representing the streamlines, which are curves that are always tangent to the velocity vector of the fluid at a given point.  Strength of the Doublet

The Reynolds number (Re) based on a characteristic length x1 is a dimensionless quantity used to describe the nature of fluid flow past an object, such as a pipe, a cylinder, or an airfoil. It’s a fundamental parameter in fluid dynamics that helps predict whether the flow is laminar or turbulent.  Rex1: Reynolds number based

The Reynolds number (Re) based on a characteristic length x1 is a dimensionless quantity used to describe the nature of fluid flow past an object, such as a pipe, a cylinder, or an airfoil. It’s a fundamental parameter in fluid dynamics that helps predict whether the flow is laminar or turbulent.  Rex1 is the Reynolds

The Reynolds number (Re) based on a characteristic length x1 is a dimensionless quantity used to describe the nature of fluid flow past an object, such as a pipe, a cylinder, or an airfoil. It’s a fundamental parameter in fluid dynamics that helps predict whether the flow is laminar or turbulent.  Rex1 is the Reynolds

The length of a line segment, denoted as “l,” refers to the distance between two distinct endpoints along a straight or curved line. In geometry, a line segment is a finite portion of a line with two endpoints. It represents a distinct and measurable portion of the line between two specific points. The concept of

The radial distance, denoted as “r,” is the distance between a given point and a center or axis. In various fields, including mathematics, physics, and engineering, the radial distance is often used to describe the distance of a point from a reference point, origin, or center in a radial or circular pattern.  r: Radial distance

Velocity induced at a given point refers to the change in fluid velocity that occurs due to the presence of an object or disturbance in a fluid flow. This change in velocity is caused by interactions between the fluid and the object, leading to alterations in the flow pattern and direction of the fluid particles.

Tangential velocity, denoted as V𝜃, is the instantaneous velocity of an object or point that is moving in a circular or curved path. It represents the speed at which the object or point is moving along the tangent to the curve at a specific moment in time. In the context of circular motion or rotation,