Generally it has been noticed that differential equation is solved typically. The Laplace transformation makes it easy to solve. The Laplace transformation is applied in different areas of science, engineering and technology. The Laplace transformati
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EXPT NO: 1 VERIFICATION OF BERNOULLI’S THEOREM
To verify Bernoulli’s Theorem (Law of Conservation of Energy) and also to plot the graph of piezometric Aim: head, inetic head and total head !s" points along the pipe line" Apparatus Reuire!: Bernoulli’s Bernoulli’s apparatus, stop watch" Spe"i#i"ati$%s: The present apparatus is a self#contained unit operated on a closed circuit $asis consisting of %ump tan, Balancing tan (%upply tan), Collecting Collecting tan(&elivery tan(&elivery tan) and mono $loc pump set with outlet delivery valve" T&e$r': Bernoulli’s Bernoulli’s Theorem is stated as 'n steady continuous flow of a frictionless incompressi$le incompressi$le fluid, the sum of the otential head, the ressure head and the *inetic head is the same at all points+" t is represented in the following euation form
v-. 0 // 0 z- 1 .g
// 2g
constant
P&$t$(rap& $# t&e setup: Pr$"e!ure: -" 3ill in the the %ump %ump tan tan with with clean clean water water and add add some some uantity uantity of colore colored d in to it" it" ." *eep *eep the the del deliv iver ery y val valve ve open open"" 4" %witch %witch on the pump" pump" 5ow, 5ow, you will will find find water water flowing flowing to the the Collecti Collecting ng tan throug through h venturi venturi meter" meter" 6" 5ow you you find the diffe different rent piezome piezometric tric heads heads for corre correspond sponding ing points points of venturi venturi meter meter for constan constantt supply head and delivery head" 7" 5ote 5ote down all the the piezome piezometri tricc reading readingss and velocit velocity y head at a particul particular ar is also also noted separ separate ately ly $y $ringing the inserted inserted to that point" point" 8" 5ote 5ote down down the height height of wate waterr at supp supply ly tan tan and and deliv delivery ery tan tan"" 9" Change Change the delivery delivery head head $y pushi pushing ng down down the the overflow overflow pipe and repeat repeat the e:peri e:periment ment"" ;"
iezometer reading at points .
&iameter of ipe cm
%upply tan water height cm
&elivery tan water height cm
-=
Ca+"u+ati$%s:
oints in pipe
iezometer reading at points
!elocity of flow !1>?< m?s
!elocity head !. ?.g
Total @ead1 iezometri c 0 velocity head
.
-= ,rap&: lot the graph of piezometric head, inetic head and total head !s" points along the pipe line" I%#ere%"e: Pre"auti$%s: -" &o not start the pump if the voltage is less than -;= !" ." &o not forget to give electrical neutral A earth connections correctly" 4" 3reuently (at least once in three months) grease ? oil the rotating parts" 6" nitially, put clean water free from foreign material, and change once in three months" 7"
Pr$)+em
Reme!'
3luctuating iezo meter reading ump not woring
emove the air $u$$les" rime the pump
Resu+t .C$%"+usi$%: The Bernoulli’s euation was verified $y plotting the graph for @L and TEL E/te%si$%: App+i"ati$%s: 0uesti$%s: -" Dhat is meant $y the term pressure head ." %tate the law of conservation of energy" 4" Drite down Bernoulli’s euation and e:plain the meaning of each term involved in it"
