The confusion I've seen in many comments is "why does he take in common 'del s' and 'ds' ? " . This simplification happens due to we are analyzing in 1D dimension. Note that pressure ONLY varies in S direction, then 'del s' have no meaning and cab be simplified to ds (since there isn't any other direction). If you guys still have some question related to it, check partial derivatives and analise what happens with them when only ONE variable varies (hint: the partial derivative becomes a total derivative, since its variables become constant and then the derivative of a constant = 0)
In the imaginary sylinder the lower portion pressure consider dp , but why is the upper portion considering the pressure p+dp.... I'm little confusing about that.
@@soumyadeepgarai7338 Hi Sr. , let me try to help you out. That is the TAYLOR serie truncated at the first derivative. Imagine the cylinder as an infinitesimal element where the bottom of the cylinder is its origin point. Let's analyze these forces acting on this infinitesimal element. So, in the origin, you have a pressure p (pressure multiplied by area is = force, right?) when you step up on the top side, you will have the same pressure p added by an infinitesimal pressure caused by its length {ds} which is: ([del p/del s]*ds) and all multiplied by area, resulting in force. Therefore: On the bottom: (p * dA). On the top: (p + (del p/del s)*ds) *dA. Note: Observe that it is used [del p/ del s] due to performing the analysis in all 3 directions. So, if you analyze only on z direction, it becomes dp/ds (then ds can be canceled out) and so the equation: on the bottom: (p*dA). And, on the top: (p + dp)*dA
Bro last step (curly s )take outside ,OK but there are only two curly s is present at this equation another one is ds (not curly s) so the equation will be change or not
Yss vishnu, i also have doubt on it....but in book also it is mentioned same, that they took ds common , while there are only one ds and other two are curly S
Very nice derivation. One of my favourite ones. Just one thing, the last part is not strictly correct, because you factorized ds with curly s and they are not the same. Maybe some trick you needed to add to factorize it!!! Anyway, thank you very much, I appreciate it!!!
Why there is opposite pressure at outlet? If inlet pressure at outlet (p+dp) is more than pressure at inlet (p), so why Fluid is flowing from inlet to outlet?
1. why we took 'ds' as Common?: As everything in that equation is derived with respect to 'ds', So 'ds' is taken out as common. 2. what is 'dz'?: It is the datum head from the lower surface of the fluid element to the upper surface of the fluid element. Thank you.
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I have difficulty understanding this topic.. But now I have cleared all concepts... A very excellent way of teaching sir. Thanks🙌🙌💯
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The confusion I've seen in many comments is "why does he take in common 'del s' and 'ds' ? " . This simplification happens due to we are analyzing in 1D dimension. Note that pressure ONLY varies in S direction, then 'del s' have no meaning and cab be simplified to ds (since there isn't any other direction). If you guys still have some question related to it, check partial derivatives and analise what happens with them when only ONE variable varies (hint: the partial derivative becomes a total derivative, since its variables become constant and then the derivative of a constant = 0)
Thanks!
Thanks bhai
In the imaginary sylinder the lower portion pressure consider dp , but why is the upper portion considering the pressure p+dp.... I'm little confusing about that.
@@soumyadeepgarai7338 Hi Sr. , let me try to help you out. That is the TAYLOR serie truncated at the first derivative. Imagine the cylinder as an infinitesimal element where the bottom of the cylinder is its origin point. Let's analyze these forces acting on this infinitesimal element. So, in the origin, you have a pressure p (pressure multiplied by area is = force, right?) when you step up on the top side, you will have the same pressure p added by an infinitesimal pressure caused by its length {ds} which is: ([del p/del s]*ds) and all multiplied by area, resulting in force. Therefore: On the bottom: (p * dA). On the top: (p + (del p/del s)*ds) *dA.
Note: Observe that it is used [del p/ del s] due to performing the analysis in all 3 directions. So, if you analyze only on z direction, it becomes dp/ds (then ds can be canceled out) and so the equation: on the bottom: (p*dA). And, on the top: (p + dp)*dA
I think the real confusion here is that I cannot understand a word he is saying, and I am laughing when he says “curly V and curly S”
Thanks a lot Sir. All the way from Nigeria ❤
Wtf you also study this 🙂
while studying specific topic if i see the thumbnail of ur photo there are no other que in my mind. good job sir
Kuch bhi!?
@@shivamchoubey5164 kaisi lgi meri mirchi?
@@anonymous9217w2 chutiye Itna maarunga ki Tera baap bhi ni aayega bachaane
@@shivamchoubey5164 lol
Ok, the trick at the end is to multiply everything by ds, so the first term is -(1/pho)*dp, the second is gdz and the third is vdv
very good explanation and nice understanding of the topic.subscribed
Bro last step (curly s )take outside ,OK but there are only two curly s is present at this equation another one is ds (not curly s) so the equation will be change or not
INFORTAINMENT Vishnuramachandran yes dude....I was also wondering the same
Yess mee too
Yes, please clarify this
Yss vishnu, i also have doubt on it....but in book also it is mentioned same, that they took ds common , while there are only one ds and other two are curly S
Sir ji kuch samjhao to shi kha se aaya kuch bhi kre ja rhe ho sb rata hua hai kya
What are the physical applications of it ?
Nicely explained, thank you :)
Very nice derivation. One of my favourite ones. Just one thing, the last part is not strictly correct, because you factorized ds with curly s and they are not the same. Maybe some trick you needed to add to factorize it!!! Anyway, thank you very much, I appreciate it!!!
Isse Accha to book padh le hum log aap bhi rat k without concept padha rhe ho
best explanation
U must be clear of each equation how it came.ur directly writing textbook formula ur not explaining how it came
Yeah
Why there is opposite pressure at outlet? If inlet pressure at outlet (p+dp) is more than pressure at inlet (p), so why Fluid is flowing from inlet to outlet?
That is (-dp)
सब रट के आए हो सर, इतने सब्सक्राइबर्स कैसे हो गए हैं पता नहीं
Thank you sir nice video
Sir add correction for curly s in second last step which has been considered for ds and taken common
The taking ds common is offending me to the levels i can't even explain xD
to the levels that you had to comment the same thing twice eks dee
In a last step in denominator ds is not common factor,how can we take it out pls can you clarify site,and what is DZ ?
1. why we took 'ds' as Common?: As everything in that equation is derived with respect to 'ds', So 'ds' is taken out as common. 2. what is 'dz'?: It is the datum head from the lower surface of the fluid element to the upper surface of the fluid element. Thank you.
Thank you 🤗
U have not elaborate why partial derivative and total derivative r same with respect to S ?
Sir why sin component of weight is not important here while cos component is important
Thank you sir
What is dz?
dz is the adjacent side of the triangle formed from angle which the weight acts
vortex speed ka video nahi h kya ??
Thank you
Very useful channel
tq srji
Thanki you my yecher you are nice
Thanks...
tq sir
Tnq sir
Sir "dz" kya hai triangle Wale figure me
Same question... Sir answer
Same question sir ?
dz is the z coordinate...imagine the element in xz plane
My lecturer could never
It's goog
Use mathematical rigor
bhai kya mazak kr rhy ho
Concept name ki bhi koi cheez hoti hai
Sb rat k aaye ho khud ko kuch nhi aata
Bhai sahab kash aapko Hindi aati.
Main samajh gaya par sab nahi.
I don't get what u want to say clean bolo ptani kaise hogya itna subscriber
game kehlega laude too yehi hoga na
Hindi me padana seeewkho jayada angreez mt bano aur sahi se bhi samjahiye
seedhe bolna English nhi aati
Hindi me
Noob 😂
The taking ds common is offending me to the levels i can't even explain xD
to the levels that you had to comment the same thing twice eks dee
Thank you
Thank you sir
Thank u sir
Thank you sir