ME 3220

Experiment No.1: Verification of Bernoulli’s theorem with the help of a Bernoulli’s Apparatus 1. Introduction: 2. Objective: 2.1. To verify experimental ly the validity of Bernoulli’ s euation for fluid flo! !ith the help of Bernoulli’s app aratus ". #pparatus and Instrument $euired: ".1 Bernoulli’s #pparatus ".2. %ydraulic bench &'(1) "." one *1+ stop ,atch ".- One *1+ bucet to measure the amount of !ater. -. /escription of Bernoulli’s apparatu s: Bernoulli0s #pparatus consists essentially of a t!o dimensional rectanular section converent diverent duct 3.) Theory: ,hen an ideal incompressible fluid is flo!in4 continuously in a conduit and no extra enery is extracted or added bet!een any t!o cros s sections 1 and 24 then Berno ulli’s theory states that th e total enery at each section is remain constant. The Bernoulli euation is derived under the follo!in assumptions: 1. flui d is incompress ible * de nsity r is cons tant +5 2. fl o! is stea dy : ". flo! is f rict ionle ss * t 6 ) + alo n a stre amlin e5 Then4 it is expressed !ith the follo!in euation: p ρg + v 2 2 g + z =h =constant = pr essur e head + velocity head +elevatio n head =const . i.e. for t!o sections 4 p 1 γ + v 1 2 2 g + z 1 = p 2 γ + v 2 2 2 g + z 2 =Co nst . ,here *in 7I units+: p 6 fluid static pressure at the cross section 1 and 2 in N/m 2 . ρ 6 density of the flo!in fluid in kg/m 3 g 6 acceleration due to ravity in m/s 2 *its value is 9.81 m/s 2 6 9810 mm/s 2 ) v 6 mean velocity of fluid flo! at the cross section 1 and 2 in m/s z 6 elevation head of the center of the cross section !ith respect to a datum z=0 h* 6 total *stanation+ head in m

ME 3220

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