One Shot - Fluid Mechanics | Physics | NEET 2024 | Xylem NEET Tamil

hi hello W and welcome back to channel the one series with me your shy mam you people know when shy m is here no fear right yes to make this 5000 receiving students from different one fluid mechanics the Most Wanted top so till the end homework problem homework problemu so just join this community whatsapps imates and most important begin the first part is going to be the static fluid static fluid topic second topic fluid dynamics concept that's more than enough for fluid mechanics okay okay so start the first topic is fluid mechanics fluids okay stuid pressure hydrostatic Paradox this is very important floating finally equation let's begin let's begin let's begin so first topic the fluids fluids okay both gases and liquids are fluids gas important characteristics anything that can flow okay no definite shape of its because we have a definite shape shape so Okay so incompressible compress so incompressible inexp okay volume so this means volume is Conant volume is Conant okay will in love with this fluid mechanics Okay so no pushing or pulling so that is why it is called non viscus viscus okay of friction not light of friction okay more okay so let's start the next one density is equal to M ID v v is nothing but your volume m is nothing but the mass of a fluid so Mass one Mass two Row one row two we have toy m right 2al row mixture okay formul this is your formula okay v v mix V1 V2 = V mixture volume Vol yes or no up m / by Row 1 + m / by row2 is equal to 2 m 2 m divided by row mixture right M M M cancel mix will be equal to row mixture will be equal to 2 Row 1 row2 / Row 1 + row2 okay so let's move for the next concept pressure so pressure what they saying is oh okay okay in container or no so since CH in momentum CH in moment force is directly proportional to change in momentum okay clear now the next topic units of press unit is greater than CGS compared to CGS unit okay okay right because different tyes ofm atmosph pressure so 1 atm is going to be 1.03 into 10 the powerc okay that is for fluid mechanics okay now next question pressure variation exact unit pressure with depth okay pressure varation each and every on the height example okay pressure increases with depth so first important thing pressure increases with dep atos right so that means so P2 will be greater than P1 P2 is greater than P1 P2 is going to be P2 is going to be so P2 is going to be change in height P1 plus change intial CH so I can write r g i can write g g gity of the fluid gation acceleration P2 minus pmal r g final pressure minus initial pressure so that means change in pressure G for P3 P3 equal to P2 P3 isal to P2 + right2 is nothing but p TM plus r g h plus r g capital H we can write like this finally P3 PM plus3 clear so this is important so now let's go for the next one same pressure will be decreasing so keep this in mind okay now the next topic is okay will be termed as [Music] pressure spring PR pressure so that is why they are they are saying as if pressure is applied to confined uniform fluids uniform fluid okay the fluids will then trans that same pressure in all the direction at the same rate okay clear equal spreading of pressure in all Direction okay so that means so pressure at this point and this point will be equal so I can write so I can write so fub1 / A1 equal F2 / A2 force is directly proportional to area force is directly proportional to are force is directly proportional to okay this is important this is important okay so this is very very important because if they wanted to ask serious question different different but not that because hydrostatic Paradox Hydro water static no motion paradox whenever you have same base okay so liquid level fluid level will be the same same so same B fluid level will be same okay will be so that means so no height change height change so no pressure change okay listen care carefully so pressure PA pressure p p p all the pressures will be equal p a is equal to PB is equal to PC is equal to PD because the main reason is will be so same pressure same pressure same height okay so now let's scoll for the next one YouTube this is very important first initial fluid levels initi fluid ini fluid so that means atph right so press if a fluid of density row by two is already water right okay so what I'm coming to say right fluid will be increasing in this right right okay so now concept that is very important concept which is pressure at left arm should be equal to pressure at right arm pressure at left arm should be equal to the pressure at right pressure at right arm is equal to pressure at left arm so pressure at left arm P so PM Plus r g into l g into L the height in the right the edge will be equal to okay right arm right that is PM Plus r g by2 correct right P can g g l 2 L by 4 isal x l by 4 is equal to X okay left arm should be equal to the right arm left arm should be equal to the right arm because so motion motion into low pressure area okay this is going to be the important thing okay so now mon left arm pressure should be equal to the right arm left should be equal to the right CH in height okay okay so this is another one important concept so pressure of gas should be equal to we people know change in pressure is equal to r g change in pressure is equal to G gas pressure so change in equal G solute pressure of gas absolute pressure okay absolute pressure okay this will be called as absolute okay now gge pressure G pressure or gauge pressure whatever okay so G difference between at pressure pressure so this will be equal to r g okay so pressure will be equal to gute press okay okay so absolute press okay done so now let's move for the next hydrostatic Paradox okay oftion when the whole system is accelerating okay the total right so fr P pressure will be higher so PA will be higher than PB okay P will be higher than ption okay now last PR to height H to a height H okay to a height H okay it is getting increased by H okay the pressure now the height so you can write H is equal to a l / g a a is nothing but acceleration okay L between two pressure points the okay so that to gravity H height increased height increased height increased okay so now the next same P Point pation acceleration is along this direction PA will be greater than PB okay PA will be greater than PB P minus PB what will be a formula P minus PB change in pressure because acceleration so row a l row a l so acceleration into length okay done 100 100% clear clear clear yes okay the PB will be greater p pb will be greater than PA OPP will be the greater one opposite side will be the greater one done yes so now the next topic of discussion is Bo okay Force because people know something is in contact noral okay so let's talk about first let's talk fur equ upward Force up will be equal to density of the fluid okay up will be equal to or B say force will be equal to okay density of the fluid fluid or density into volume of the submerged volume of the sub merged into gravitational acceleration so fluid or density this is fluid density this is fluid density is the volume submerged submerged okay submerged submerged maam submerged okay so this is your Bo Force Ares principle AR principle because for example listen so the up thrust applied by the fluid is equal to the weight of the fluid display is equal to the weight of the fluid displaced for example listen normal in the liquid so okay so this is mainly very very important right okay how we can write this so up or force will be equal to weight of the fluid displaced row of fluid volume submerged volume full volume sub right G weight of the object object of the object total volume of the object subal volume into G total volume volume of object either density of object okay in the to right yes problem okay now already explain let's go for the next next floating or submerged because the floating or submerged so that means should be greater than our okay so your body floats should be greater than body object okay first condition okay floating suppose suppose floating floating flating flating should be equal to the weight Force okay so first p i mean should be greater than okay gal fractional volume Frac Frac fraction volum sub CLE so this is important now submerged submer so that means submerged condition density of the body should be greater than density of the fluid density of the fluidity of the body first condition second so that means weight minus weight apparent weight or effective weight will be equal to total weight divided by I mean minus Force up thr total weight what we can write so density of the fluid volume submerged volume submerged into wus rof r b v s g divid divid Sub sub this formula will become wus r f r b v g / R this is nothing but weight of the object weight of the object okay weight of the body or weight of the object wus row F / row b into w w w so your effective weight will be equal to W into 1 minus row F / row b okay should be clear so now let's roll for the last topic of your static fluids which is equation of CeX I mean so this point Isa y right here is your formula Y is equal to Omega sare x² / 2 G Omega sare Omega sare x² / 2 GC directly propal toly the parabolic curve okay this is the ultimate important concept for static fluids okay static fluid so if you give me time I would make it 100% th% Plus other the improved one okay greater one biggest one so now the next concept for discussion is going to be the fluid clear we are going to keep it in motion okay yes and more deleted okay so the first topic we are going to cover is equation of continuity the second topic we are going to cover is Beres principle third one is speed of flex so speed of flex and burn equation okay range of water okay continuation viscosity strw terminal velocity important okay these are the topics we are going to discuss now so let's start so the first one is type of fluid flow so this is how it will flow flady or streamlined flow stud or streamlined flow unsteady or ulent flow unsteady or turbulence flow compressible and incompressible flow okay comess inpress done let's roll so the next topic for discussion is Stream flow stream line FL okay at any given point the velocity of each passing fluid particle remains constant with time velocity fluid con to okayl no two streamlines right so it should not be intersected it should not intersect okay now critical velocity so we know we noticed fluid okay turul so when the particle of the moving fluid exceeds the critical velocity that means these particles velocci are high when compared to the lamin FL right right it is creating a circular path for itself that is it is okay so basal fluids irational fluids streid fluid so the next topic is equation of continuity the what they are saying is important okay equ of volume of fluid it should go out it should go out so volume should be equal to the volume out okay the volume of flow be q a into velocity Q is equal to a into velocity area velocity okay velocity Vol okay velocity so that means V in will be equal to V out so A1 V1 should be equal to A2 V2 AV equal to constant AV is equal to constant because should be 12 6 running water storing possible so that means it is creating liquid creating liquid is also not possible righta creating so this is not possible only thing which is possible is this VN is equal to V out possible done T yes ma'am perfectly TP which is high pressure area automa according to the nature high pressure area okay so these are the reason okay streamline flow or streamline fluid non viscous okay non viscous or stream pressure 3gy half MV s sogy half MV squ volume per volume per volume if I'm writing it for per volume it will be like that will be half row v² right velocity volume energy per unit volume will be half MV squ g g is nothing but your potential energy so potential energy per unit volume because m g potential energy m poal enery m per volume it will be G okay pressure potential energy per volume energy per volume okay potential energy energy when your fluid is moving fluid dyam right so p + r g h + half row v² is equal to con so P / G plus h plus half v² by G equation okay so now when your Heights are changed when your height is changed according to work energy theorem work energy conservation of energy first okay so now let's start the remaining okay let's start the remaining balus equation comes from work energy theorem that means initial condition should be equal to the final condition height so that means poti choc that means P1 r g h1+ half row V1 squ equal to P2 into P2 + r g h2+ half R V2 s okay okay so these are very important burn equation what is so there will be Noy so finally you will be getting only P plus half row v² is equal to constant done cool cool cool Dy cool no worries okay so bingla now the next concept is application of burnless principle application of burn principle so that means velocity is higher wind velocity is higher right roof that means will towards that okay right rolling rolling so that means each and every unit of or interl so don't ever skip firste so you have to study okay so here the velocity will be ball will be turning towards low pressure side so that means low okay okay clear now the next concept of discussion is T law okay tun that is m okay the height is important in the height is important okay the next so now if velocity V will be equal to root of 2 G so root of so that will be root of 2 GH / 1 - A squ / a square okay done so these are that's now range of water it is looking like horizontal Parabola right sorry horizontal Parabola to Velocity will be equal to so the velocity will be equal to 2 g into hus so D should be 2 R maximum range maximum R maximum will be attained when it is H by okay Maxim maximum will be by done will be Ral root of 4 into H H minus D into d h minus D into D range okay so now will be same okay will be range will be same okay will be okay okay so that is going to be FAL 2 r g into of the fluid gity done so this is how we have to calculate it done done done done done yes so the next topic of discussion is going to be ventury meter vent Q so that will be root of 2 GH ided by 1 1 minus 1 minus A1 / A2 the whole Square 1 - A1 1 / a to the whole Square A1 is greater than sorry so that doesn't matter okay that doesn't matter okay so now the next concept what we are going to discuss is viscosity viscosity yes so let's begin the property of fluid by the virtue of which it opposes the motion of the fluid layer but sometimes it feels okay so difference length difference soquid okay so whenever the temperature is high velocity will be high sooc okay so what happens gas is inversely proportional to the viscosity temperature is inversely proportional to the viscosity okay FAL into area into DV by DX okay VCT and you people can findoc different different L correct so different different length so first when we are comping aam with so that will be DV by DX velocity gradient okay velocity gradient so viscous force will be directly proportional to Velocity gradient and directly proportional to the area dep on so that means different equal F DX by DV into right so this is your visity Coe okay so force will be equal to a DV byx a into D v/ DX so that is coefficient of viscosity so now let us find difference viscos Force frictional force so directly proportional theoc so that means is not the friction in liquid is the friction inid okay so because CS and people know unit will be equal to 10 one SI unit will be equal to 10 and what is it dimension of Visos Force m l 1 T power minus one m l power 1 t powerus one okay so now the next important topic important topic question listen Stokes is only for sperical object rectangle so what is that Stokes is completely for sperical object stoes law so drag force or sto law the equal will be directly proportional to the radius of the so that is FD is equal to stoes La Force direct force will be equal to 6 Pi RV 6 Pi RV r v directly proportional V incre automa FD increas okay come on do it so now another one important topic the last last [Music] topics that means you're focusing easy so terminal velocity so terminal velocity F1 equal F2 fub1 equal F2 so that means acceleration is equal to Z net force is equal to Z net force is equal to Z terminal velocity terminal velocity CLE so this is called your terminal velocity Dr V upward force is equal to downward Force will asking questions for based questions 2 ID 9 okay 2 ID by 9 into row minus Sigma object density density of object Sigma fluid density Sigma fluid density okay divided by is nothing but your viscos coefficient right R square radius R square radius G acceleration due to gravity so that means terminal velocity will be directly proportional to the radius square okay clear so this is the next this is the next question topic fine so now let's roll for the next important topic which is Rena's number Ren's number okay so now number streamline flow sooc number okay so R's number R is equal to R v/ actually nothing but coefficient of viscosity that is density of the fluid V velocity of the fluid D diameter of the pipe diameter of the pipe okay number frce div byce Fric Force divid by force okay done yes ma'am done so believe me that is yourface tension so first important force on surface tension excess press doubleb angle of contact rise and fall so this is important excess pressure is important excess pressure is important important okay so start now surface tension is nothing but a force right fluid molecules at the surface is different from the fluid molecules what we will be doing saying okay different force force force between same type of molecules okay same type so that means force between different molecule force between different molecule okay so different different differentes different types of molecules okay n Force net force will be zero so net cohesive force will be zero net cohesive force will be zero everything will beting that means they won't be Z so the net cohesive force on a fluid molecule on the surfaces towards the bulk towards the that means no okay so now because these are forces right up Force per unit length of a liquid or fluid okay Force per unit length or a l of what is the main meaning for that so Force cohesive force will be equal to T into L okay so T is equal to Newton power new di M okay so now surface potential energy is very important surface potential energy is very very very important listen noral work done will be equal to minus m g so that will Beal mg is positive okay potential enery so change in potential energy is equal to work done change in potential energy is equal to work done so change in potential energy going to be the work done right change in potential so that means surface tension is higher okay surface tension is higher surface tension and then f so that means that clearly tells us so change in potential potential surface potential energy is equal to it's directly proportional to the surface area it's directly propal to the surface areal to ta so T surface tension T surface tension okay into FID L right we can write that also so now the next concept is everything has front and back right rectang so bubble so spical F so that means f f f okay I mean okay so now force of a surface area so force of a surface area already listen the right soal T into l so L is directly proportional to the force is nothing but the surface tension okay okay concept okay so now puncturing of a FL so the next concept is puncturing of a film okay so F puning [Music] frame cular min minim that is a perfect surface area that means minimum potential energy minimum potential energy is okay so puning of this is a normal topic okay it's not a very big deal so now excess pressure this is important this is important pressure weaker okay a right is greater than that means okay so now the next concept is excess pressure in a drop liquid drop buid P2 is greater P1 ch press will be equal 2 2 it has two flame two fls what is it what is it what is it what is ITF okay it will be having two okay so that will be 2 into two which is four 2 into two that is four okay less okay okay done yes so now the next one is Double Bubble the next one is double bubble okay prere okay okay so Double Bubble dou interface interface okay so that is 1 by R2 minus 1 by R1 is equal to 1 by R Das which will be r d is equal to R1 into R2 / R1 + R2 okay R1 minus R2 okay so now the next topic is angle of contact the next topic is angle of contact of contact surface surface of contact this is your solid correct contact area solid contact area liquid right we can't say angle angle okay so this is your two values so first concept isle is lesser than 90 angle is lesser than 90° angle is lesser than 90° angle lesser than 90° liquid it won't beting the surface concept which is capillary rise and fall and capillary rise and fall is the very very important topic capillary rise and fall R what it will be doing it will be okay done so now next R because see this iscus conus okay this is concave miniscus concus so that means l0 conus greater than 0 so that means P2 pressure will be greater than P pressure capillary rice fall okay this is important these are important these are important D okay t m okay height okay because okay heal 2 T cos thet G so radius of thecus menc radius okay capary tu radius that means height is inversely proportional to the radius of Theus so that means so that is the meaning for this concept okay in the concept clear 100 R is directly proportional TOA rice is inversely proportional to the radius rise is inversely directly proportional to the tension rise is inversely propor to okay so now the next topic is in the whole minc in the whole set so that means whole objecta G Max this is important concept so okay what that means of [Music] the okay the concept because this is important these concepts are important okay so I hope a small hole of area of crosssection 2 mm 2m is present near the bottom of a fully filled open tank of height 2 m h which is 2 taking gal 10 m now what they have given us the rate of flow of water through the open hole would be nearly R of flow so rate of flow rate of flow is going to be rate of flow is going to be Q is equal to a into V right are vunk G so this used to become a into < tk2 G okay 2 me root okay 2 meun sorry 14 you will be getting 12 2.6 into 10 power- 6 12.6 into 10 power- 6 rate of flow volume so okay right okay now the next most most important question 2015 get a question water rises to height H in capillary tube if the length of the capillary tube above the surface of the water is made less than H does not rise at all option b water rise up to the tip of the capillary tube and then starts overflowing like a fountain water rises up to a top of the capillary tube and stays there without overflowing water rises up to a point a little below the top and stays there straight line and your perfect answer is going to be option C the perfect answer is going to be the option C done Pang done done yes so that's it for the day pangla that's it for the day previous numer right so once one shot complete okay because your love and your support is going to be our energy my energy thank you for your keep on practicing keep on practicing okay so can call this number and you can get collect the information okay one series until then it's me your shy mom you people know when shy mom is here no fear thanks everyone have a great day bye-bye take care

Channel: Xylem NEET Tamil

Views: 46,742

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Id: c_W6tnYj4Xc

Length: 132min 52sec (7972 seconds)

Published: Tue Nov 14 2023