In this article, I will explain the differential equations of fluid motion, i.e., conservation of mass (the continuity equation. So without wasting any time, let us start.
What is differential Analysis?
As a part of this article, it is essential to know what differential analysis is and how we can apply it to explain continuity and Naiver Stroke’s theorem.
Some of the essential key points related to the differential analysis are as follows:
Differential analysis is the application of a differential equation of fluid motion to any or every point in the flow field over a region called ...
It is one of the most critical topics whenever. It is related to the resistance a fluid faces in motion. A fluid exerts a force on a body in a different direction. Now the main question is, what is drag? And what do we know about it?
What is Drag?
The definition of drag is as follows:
The force exerted on a flowing fluid in the direction of fluid flow is called drag.
Some of the essential key points related to the drag are as follows:
In order to elaborate on the drag force through an example. The body is attached to calibrated spring, and it is used to measure the displacement in the dir ...
Hello Friends. I hope you are doing great. Here I am with another exciting topic of fluid mechanics, i.e. flow over bodies. In this article, I will explain the flow of fluids, the flow rate, their nature, the flow in pipes and much more. Fluid mechanics is all related to the fluid and its nature. I will discuss the forces that are on the body that is immersed in a fluid and the flow that is over the body. As the title shows, the main emphasis will be on the lift and drag forces. Moreover, the external and the internal flow will also be discussed in this article. And I am sure that you will enj ...
Hello Friends. I hope you are doing great. In this article, I will cover the nature of flow responsible for the changes in density. The nature of flows responsible for density change is known as compressible flows.
Fluid dynamics and thermodynamics combine for the theory of compressible flows. The compressible flow creates a relationship with the ideal gas. First, I will explain the stagnation state, speed of sound, and then the Mach number. This all comes under compressible flows. Then there come the static and stagnation fluid properties, shock waves, and variation of fluid properties in th ...
The first law of thermodynamics is also known as the Conservation of energy Principle. I will explain what is energy principle is and the following are some important points of the Energy Principle:
The energy principle can be described as the following equation:
Ein-Eout=∆E
I will exemplify the energy equation through a simple example. For instance, the rock fell from the cliff and while falling from the cliff the rock gained speed and the speed doubled while coming down. The potential energy is converted into kinetic energy as the rock is falling from height. Here the air resistance is ...
The statement of Bernoulli’s Equation is as follows:
In fluid dynamics, Bernoulli’s Equation states about an increase in speed of fluid that occur simultaneously with the decrease in static pressure or decrease in fluid’s potential energy.
After reading the statement, you might have little idea what Bernoulli’s equation is about. Don’t worry. Here I am to explain that to you extensively.
Some of the important critical points related to Bernoulli’s equation are as follows:
Bernoulli’s equation is the relation between the pressure, velocity and potential energy.
This equation is only ...
In this article, I will cover one of the essential topics of fluid mechanics as the title shows three crucial topics—the first concerns the conservation of mass and how it plays a critical role in our daily life. The next one involves the conservation of kinetic and potential energy and is all about the flow energy of a fluid stream. The Bernoulli equation is all about considering the energies, handling them of fluid, and neglecting the viscous forces. The last topic is energy equations, which is about the conservation of energy principle. As we know that while dealing with energy in fluid mec ...
Before starting this important topic there are some of the important terminologies related to the theorem that are frequently used throughout. So let us have a look at them.
System
Some important key points related to the system are as follows:
In thermodynamics, a system is a quantity of matter of fixed quantity.
The system is mostly closed. system. There is a change in the size and shape of the system but due to the closed system, no mass can cross the boundary.
One of the important points is that the mass of the system remains constant.
Control Volume
Some important key poi ...
Flow visualization widely uses Computational Fluid Dynamics (CFD) and physical experiments. So following are the types of patterns that can be visualized computationally and experimentally. So without wasting any time, let us start.
Streamlines and Streamtubes
There are two patterns. I will first explain the streamlines. So the definition of streamlines is as follows:
A streamline is a curve that is tangent everywhere to the instantaneous local velocity vector.
You might not understand the definition by reading it, so just for your ease, let me explain to you in few key points:
A streamli ...
Hello friend. In this article, I will cover essential points related to fluid kinematics, i.e., what fluid kinematics is and how the motion of the fluids can be explained without describing the forces acting on them. Further, I will explain Lagrangian and Euler about the motion of fluid and a lot more. So buckle up, and let’s start.
What is Fluid kinematics?
The definition of fluid kinematics is as follows:
Fluid kinematics is related to fluid motion without considering the forces responsible for the motion.
<img src="https://images.theengineeringprojects.com/imag ...