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Let's try to understand practically use of complex mathematical equations .

Operating as usual

03/10/2020

Navier-Stokes Equation:-
May you've see this weird type Equation called Navier-Stokes Equation. Let's see where used it is .
It's used to analyse the behaviour of the fluid at microscopic level. By which we could analys how effective is our model like take an example a car company want to replace their car design of 150km/h into the 300km/h . So here we can increase the velocity by two type .
1) To improve the power of ENGINE(This would be costly)
2) To make a perfect design.
Perfect design:- Such as design in which the drag force would be minimum. So the speed automatic will increase.
The analysis of the drag force would be through Navier-Stokes Equation.

How it's come out:-
It's just come by deep analysis on the Newton second law (F=ma). Here take a grid and apply all the forces and then Equate all forces according to the Newton second law.
Then we'll get it Equation.

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23/09/2020

Schrodinger Equations
Let's try to understand Schrodinger equations through a story.
In time of classical physics we had three modes which all described electron give the partial nature. But Schrodinger argue on this and said electron show the wave nature. After this ..de Broglie came and cleared electron show wave and practical both nature through their de Broglie wavelength equations . Now it had been cleared that electron have both nature so now major difficulty had came that if the electron have both nature then how do measure the position of electron becouse before this we just know electron have partical nature that's why it was easy to measure position of electron by applying classical theory's but in the wave form all classical theory was failed.
Now Schrodinger once again jump to the field and give the Two Schrodinger Equations that exactly tell us the position of a electron. The first one is time independent and another one is time depends ....
....
If you wanna know more then Google it
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So that was the whole thing behind the Schrodinger equations if this is useful for you then like this page and share

22/09/2020

DIFFERENTIAL EQUATIONS:-
Ever it comes into mind to solving a differential equations why we're wasting to much time to slove this .
if it come then read it till the end .
Let's understand differential equation through this stock market example.
Before investing money in stock market we do analysis the market by applying different different kind of indicator .
What is indicator ?
Indicator is a machining model which give us prediction of stock market.
Machine model make by taking previous data of stock market and then apply the simple statistics algorithm on that data and then we get the prediction prices of market .
It is the same concept apply in the field of engineering . Here we use the differential equations to solve any perticulr problem and to predict. Here we divided the our model into the mesh form (through differentiation) and then research on all mesh one by one and after that we calculate the results of over all structure or model .
In the field of civil engineering to measure the bear load of a structure here we use differential equations to find out the resonance frequency also use differential equations.

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21/09/2020

MAXWELL'S EQUATIONS\-
{ Maxwell's equations is huge revolution in the field of signal transmission.
The Mobile phone, radio and television signal are just because of bellows Maxwell's equations.
}
May you ever heard about the Maxwell's equations in you life . So you don't know what these equations tell us then read this till the end.
First of all I wanna clear that I'm not gonna give a very detaile knowledge about it nor I'll tell you about curl , Diversion, Electric density and current density . here I'll give you the one real life example which is based on theses equations.
1). The First Maxwell equation :- The diversion of electric field is directly proportional to the charge density. Which means how much charge density will large is the space then the diversion of electric field be larger .
2). The Second Maxwell's equations :- The diversion of magic field will zero. What is this sign?
It sign the magnetic field can't divers
Let's take an example to understand this equation . Magnet have two pole North pole and south pole we all know that magnetic lines travel from the north pole to south pole here you can simply see there is no diverse of magnetic line they just travel from North to south pole it's the which Maxwell's second equation tell us.
3) The Third equation of Maxwell's :-It's very simple to understand may you all are very familiar to this .
The variation in the magnetic field over time induces the Electric field.
Here is good example to understand this "Generater " which is commonly use to produce electric power by the MECHANICAL power
It's based on the Maxwell's third law here we change in the magnetic field over time and get the Electric field.
4) . The Fourth equation of Maxwell :- It just opposite to the third equation .
Which state the " Electric current flowing through a wire create a magnetic field in form of curl.
It wanna see the practically real life example then you can see a Electric motor which is based on Fourth equation of Maxwell.

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