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 the Flow Domain.
Some readers might confuse the word differential with the small control volumes piled up on each other in the flow field.
Whenever the size of the control volume crosses the limit a ...
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 enjoy reading this article. So without wasting any time, let us start.
I will start with an introduction to fluid flows.
Introduction
In this article, our focus will be the fluid flow over the bodies ...
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.
The following are some essential key points related to fluid kinematics:
The nature of fluid motion is categorized into two types: Lagrangian Euler.
I will extensively explain both types in upcoming topics.
The acceleration, velocity ...
As I have discussed the pressure now I will explain fluid mechanics. The definition of fluid mechanics is as follows:
Fluid mechanics deals with the properties and characteristics of fluid at rest.
Some of the important key points related to the fluid statics are as follows:
Fluid statics has many properties just as hydrostatics when the fluid is in a liquid state and acts as aerostatics when it is in a gaseous state.
The only stress that is in fluid statics is the normal ones other than that there is no shear stress.
The main application of fluid statics is to determine the forces that are acting on the floating or the submerged bodies.
That is a brief introduction to fluid statics further I will explain the forces that are acting on submerged and floating bodies. So without wasti ...
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 the case of regular and oblique waves. All of these are discussed in this article. So without wasting any time, let us start with the Stagnation property.
Stagnation Property
The definition of the sta ...
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 applicable for steady, incompressible flows. In this equation, all the frictional effects are neglected.
We will derive Bernoulli’s equation with the help of the Conservation of Linear Momentum ...
In the introduction, I will extensively explain the property r and how to impact them are so. Let us start. Then I explain properties that are related to fluid flow.
First of all, I will start with the word Property. The definition of property is as follows:
Property
The word property is defined as any characteristic of the system. There are two main types of the property named intensive and extensive.
Example
The examples of property are as follows
Temperature -T
Pressure - P
Mass – m
Types of Properties
Following is a brief explanation of the types of properties.
Intensive Property
The intensive properties are the ones that are independent of mass, temperature, densit ...
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 points related to the control volume are as follows:
The control volume is also known as the open system and it is defined as the region that is specified for a case study.
In the case of a contr ...
The article will cover essential aspects of fluid statics and pressure forces applied to the fluid. The article will start with the absolute pressure gauge and the variation of pressure with depth in different gravitational field manometers and barometers, respectively. Then I will explain the forces that deal with fluids, such as hydrostatic force, buoyant force, etc. So, dear friends, without wasting any time, let’s start.
Pressure
The definition of pressure according to fluid mechanics is as follows:
Pressure is the normal force applied by a fluid per unit area.
Unit of Pressure
The units of pressure Pascal is too small to deal with in practical cases. For instance,
Kilopascal: 1kPa=103Pa
Mega Pascal: 1MPa=106Pa
The three common pressure units used are standard atmosphere ba ...
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 mechanics, the mechanical energy can be separated from the thermal energy and end, considering it an energy loss.
So without wasting time, let us start the article with the mass.
Conservation Laws
I w ...
