DOM MANUAL / B-TECH / MECHANICAL / KUK - TO PERFORM EXPERIMENT ON WATT AND PORTER GOVERNORS TO PREPARE PERFORMANCE CHARACTERISTIC CURVES, AND TO FIND STABILITY & SENSITIVITY.
AIM:-TO PERFORM EXPERIMENT ON WATT AND PORTER GOVERNORS TO PREPARE
PERFORMANCE CHARACTERISTIC CURVES, AND TO FIND STABILITY & SENSITIVITY.
APPARATUS USED: - WATT AND PORTER GOVERNORS.
INTRODUCTION & THEORY:
- THE FUNCTION OF A GOVERNOR IS TO REGULATE THE
MEAN SPEED OF AN ENGINE, WHEN THERE ARE VARIATIONS IN THE LOAD E.G. WHEN THE
LOAD ON AN ENGINE INCREASES, ITS SPEED DECREASES, THEREFORE IT BECOMES
NECESSARY TO INCREASE THE SUPPLY OF WORKING FLUID. WHEN THE LOAD ON THE ENGINE
DECREASES, ITS SPEED INCREASES AND THUS LESS WORKING FLUID IS REQUIRED. THE
GOVERNOR AUTOMATICALLY CONTROLS THE SUPPLY OF WORKING FLUID TO THE ENGINE WITH
THE VARYING LOAD CONDITIONS AND KEEPS THE MEAN SPEED WITHIN CERTAIN LIMITS.
THE GOVERNORS MAY, BROADLY,
BE CLASSIFIED AS
1.
CENTRIFUGAL GOVERNOR
2.
INERTIA GOVERNOR
THE CENTRIFUGAL GOVERNORS
MAY FURTHER BE CLASSIFIED AS FOLLOWS:
a) PENDULUM TYPE (WATT GOVERNOR)
b) LOADED TYPE
c) DEAD WEIGHT GOVERNOR (PORTER GOVERNOR AND PROELL GOVERNOR)
d) SPRING CONTROLLED GOVERNORS (HARTNELL GOVERNOR, HARTUNG GOVERNOR, WILSON-HARTNELL GOVERNOR AND PICKERING GOVERNOR.
WATT GOVERNOR: - THE SIMPLEST FORM OF A CENTRIFUGAL GOVERNOR IS A WATT GOVERNOR. IT
IS BASICALLY A CONICAL PENDULUM WITH LINKS ATTACHED TO A SLEEVE OF NEGLIGIBLE
MASS. THE ARMS OF THE GOVERNOR MAY BE CONNECTED TO THE SPINDLE IN THE FOLLOWING
THREE WAYS:
1. THE PIVOT P MAY BE ON THE
SPINDLE AXIS.
2. THE PIVOT P MAY BE OFFSET
FROM THE SPINDLE AXIS AND THE ARMS WHEN PRODUCED INTERSECT AT O.
3. THE PIVOT P MAY BE OFFSET,
BUT THE ARMS CROSSES THE AXIS AT O.
PORTER GOVERNOR: - THE PORTER GOVERNOR IS A MODIFICATION OF A WATT’S GOVERNOR, WITH
CENTRAL LOAD ATTACHED TO THE SLEEVE. THE LOAD MOVES UP DOWN THE CENTRAL
SPINDLE. THIS ADDITIONAL DOWNWARD FORCE INCREASES THE SPEED OF REVOLUTION
REQUIRED TO ENABLE THE BALLS TO RISE TO ANY TO ANY PRE-DETERMINED LEVEL.
OBSERVATION:-
MASS OF THE BALL (M) =
————-KG.
WEIGHT OF THE BALL (W) =
————NEWTONS
HEIGHT OF THE GOVERNOR (H)
= ——- METRES
MINIMUM EQUILIBRIUM SPEED
(N1) = —— R.P.M.
MINIMUM EQUILIBRIUM SPEED
(N2) = —— R.P.M.
FRICTIONAL FORCE (F) =
————- NEWTONS
MEAN EQUILIBRIUM SPEED (N)
= (N1 + N2)/2 IN R.P.M
MASS OF THE CENTRAL LOAD =
———KG.
WEIGHT OF THE CENTRAL LOAD
(W) = ——–N
ANGLE OF INCLINATION OF THE
ARM TO THE VERTICAL (Α) = ——
ANGLE OF INCLINATION OF THE
LINK TO THE VERTICAL (Β) = ——
CALCULATION:-
·
N2 = 895/H
(FOR WATT GOVERNOR)
·
N2 = ((M
+ M (1+Q)/2)/M) X (895/H) (FOR PORTER GOVERNOR ), WHERE, Q
= TAN Β/ TAN Α
·
SENSITIVENESS OF THE
GOVERNOR = 2(N1 – N2)/ N1 + N2 =
2 (Ω2 – Ω1)/ Ω2 + Ω1
·
A GOVERNOR IS SAID TO BE
STABLE WHEN FOR EVERY SPEED WITHIN THE WORKING RANGE THERE IS A DEFINITE
CONFIGURATION I.E; THERE IS ONLY ONE RADIUS OF ROTATION OF THE GOVERNOR BALLS
AT WHICH THE GOVERNOR IS IN EQUILIBRIUM. FOR A STABLE GOVERNOR, IF THE
EQUILIBRIUM SPEED INCREASES, THE RADIUS OF GOVERNOR BALLS MUST ALSO
INCREASE.
OBSERVATION TABLE
WATT GOVERNOR (WITHOUT
WEIGHT)
LENGTH OF EACH
LINK L=120MM
INITIAL HEIGHT OF
GOVERNOR H0=110MM
INITIAL RADIUS OF
ROTATION RO=135MM
WEIGHT OF SLEEVE W=1.8
KG
S.
NO.
|
SPEED‘N’
|
SLEEVE DISP.‘X
|
HEIGHT H =H0-(X/2)
|
FINDα
COSα
=H/L
|
RADIUS OF ROTATION
R = R0=L SINΑ
|
W=(2ΠN/T)
|
FORCE (F) =(W(W2XR))/G
|
||
1
|
|||||||||
2
|
|||||||||
3
|
|||||||||
UNIVERSAL GOVERNOR
APPARATUS
PORTER GOVERNOR (WITH
WEIGHT)
LENGTH OF EACH LINK L
= 120MM
INITIAL HEIGHT OF GOVERNOR H0=110MM
INITIAL RADIUS OF
ROTATION RO=135MM
WEIGHT OF BALLS+
SLEEVE W=1+1.8 KG=2.8KG
S.
NO.
|
SPEED‘N’
|
SLEEVE DISP.‘X’
|
HEIGHT H =H0-(X/2)
|
FINDΑ COSΑ=H/L
|
RADIUS OF ROTATION
R=R0=L SINΑ
|
W=(2ΠN/T)
|
FORCE F =(W(W2XR))/G
|
1
|
|||||||
2
|
|||||||
3
|
UNIVERSAL GOVERNOR
APPARATUS
HARTNELL GOVERNOR
LENGTH OF EACH LINK A
= 75MM
LENGTH OF EACH LINK B
= 155MM
INITIAL RADIUS OF
ROTATION RO=160MM
WEIGHT OF SLEEVE W
=1.8 KG
T = 60SEC
S.NO.
|
SPEED‘N’
|
SLEEVE DISP.‘X’
|
HEIGHT R = (RO+(A/B).X)/10
|
W=(2ΠN/T)
|
FORCE (F) = W.W2.R
|
1
|
|||||
2
|
|||||
3
|
UNIVERSAL GOVERNOR
APPARATUS
PROELL GOVERNOR
LENGTH OF EACH
LINK L=125MM
INITIAL HEIGHT OF
GOVERNOR H0=100MM
INITIAL RADIUS OF
ROTATION RO=135MM
WEIGHT OF BALLS W=0.5
KG
EXTENSION OF
LENGTH BG= 75MM
S.NO.
|
SPEED‘N’
|
SLEEVE DISP.‘X’
|
HEIGHT H =H0-(X/2)
|
FINDΑ COSΑ=H/L
|
RADIUS OF ROTATION R=R0=L
SINΑ
|
W=(2ΠN/T)
|
FORCE F =(W(W2XR))/G
|
1
|
|||||||
2
|
|||||||
3
|
PRECAUTIONS:-
1.
TAKE READING CAREFULLY.
2.
MEASURE THE ANGLE VERY
CAREFULLY.
3.
MEASURE THE HEIGHT OF
GOVERNOR CAREFULLY.
4.
SPEED OF GOVERNOR MEASURE
ACCURATE.
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