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Fig. Q3 shows an arrangement for controlling the temperature of a steam heated oven. utilizing temperature sensitive bellows and a hydraulic servomechanism. An increase in oven temperature causes the bellows to expand and the left end of the 'walking beam' ABC to move downwards. thus activating the hydraulic mechanism. The end C of the walking beam actuates a valve to reduce or increase the steam flow into the oven depending on the temperature in the oven. When .x is zero the beam ABC whose mid-point is B. is horizontal. Given that, (a) oil flow in the servomechanism per unit displacement (b) area of cross section of the piston in the working cylinder -Q - A (c) heat transfer across the walls of bellows to the thermos- sensitive fluid in the bellows q=H(0-7) where I' is the temperature of the fluid inside the bellows and H is a constant. (d) rate of change of temperature in the bellow's fluid Kq where K is a constant. (e) extension rate of the bellows per unit temperature rise in the fluid in the bellows FL Neglecting fluid compressibility, fluid leakage and inertia of moving parts draw a complete block diagram of the overall system and show that the transfer function relating the valve position y to L oven temperature can be expressed as (1+7₁8)(1+7₂8) Find expressions for 7₁ and 72.

Fig. Q3 shows an arrangement for controlling the temperature of a steam heated oven. utilizing temperature sensitive bellows and a hydraulic servomechanism. An increase in oven temperature causes the bellows to expand and the left end of the 'walking beam' ABC to move downwards. thus activating the hydraulic mechanism. The end C of the walking beam actuates a valve to reduce or increase the steam flow into the oven depending on the temperature in the oven. When .x is zero the beam ABC whose mid-point is B. is horizontal. Given that, (a) oil flow in the servomechanism per unit displacement (b) area of cross section of the piston in the working cylinder -Q - A (c) heat transfer across the walls of bellows to the thermos- sensitive fluid in the bellows q=H(0-7) where I' is the temperature of the fluid inside the bellows and H is a constant. (d) rate of change of temperature in the bellow's fluid Kq where K is a constant. (e) extension rate of the bellows per unit temperature rise in the fluid in the bellows FL Neglecting fluid compressibility, fluid leakage and inertia of moving parts draw a complete block diagram of the overall system and show that the transfer function relating the valve position y to L oven temperature can be expressed as (1+7₁8)(1+7₂8) Find expressions for 7₁ and 72.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Oven Temperature 0 wwwwww Valve ↑y Steam B Piston Oil Supply H Working Cylinder Fig. Q3 Fig. Q3 shows an arrangement for controlling the temperature of a steam heated oven. utilizing temperature sensitive bellows and a hydraulic servomechanism. An increase in oven temperature causes the bellows to expand and the left end of the 'walking beam' ABC to move downwards. thus activating the hydraulic mechanism. The end C of the walking beam actuates a valve to reduce or increase the steam flow into the oven depending on the temperature in the oven. When .x is zero the beam ABC whose mid-point is B, is horizontal. Given that, (a) oil flow in the servomechanism per unit displacement (b) area of cross section of the piston in the working cylinder -Q = A (c) heat transfer across the walls of bellows to the thermos- sensitive fluid in the bellows =q=H(0-1) where I' is the temperature of the fluid inside the bellows and H is a constant. (d) rate of change of temperature in the bellow's fluid Kq where K is a constant. (e) extension rate of the bellows per unit temperature rise in the fluid in the bellows = L Neglecting fluid compressibility, fluid leakage and inertia of moving parts draw a complete block diagram of the overall system and show that the transfer function relating the valve position y to L oven temperature can be expressed as- (1+7₁8)(1+T₂s) Find expressions for 71 and 72.
Transcribed Image Text:Oven Temperature 0 wwwwww Valve ↑y Steam B Piston Oil Supply H Working Cylinder Fig. Q3 Fig. Q3 shows an arrangement for controlling the temperature of a steam heated oven. utilizing temperature sensitive bellows and a hydraulic servomechanism. An increase in oven temperature causes the bellows to expand and the left end of the 'walking beam' ABC to move downwards. thus activating the hydraulic mechanism. The end C of the walking beam actuates a valve to reduce or increase the steam flow into the oven depending on the temperature in the oven. When .x is zero the beam ABC whose mid-point is B, is horizontal. Given that, (a) oil flow in the servomechanism per unit displacement (b) area of cross section of the piston in the working cylinder -Q = A (c) heat transfer across the walls of bellows to the thermos- sensitive fluid in the bellows =q=H(0-1) where I' is the temperature of the fluid inside the bellows and H is a constant. (d) rate of change of temperature in the bellow's fluid Kq where K is a constant. (e) extension rate of the bellows per unit temperature rise in the fluid in the bellows = L Neglecting fluid compressibility, fluid leakage and inertia of moving parts draw a complete block diagram of the overall system and show that the transfer function relating the valve position y to L oven temperature can be expressed as- (1+7₁8)(1+T₂s) Find expressions for 71 and 72.
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