الثلاثاء، 28 يوليو 2020

thermodynamic .gas power cycle .otto cycle

ASTRACT

In the starting, the combuntion engine and gas cycles were identified, and to facilitate the study of the cycles, assuming for air and motor and review the otto cycle and  his strokes  and the laws to calculate the  work out and the heat addition  and review the valves of the otto cycle and compare with the perfect and real sluice moton and  review the different between the real and perfect otto cycle  . in short  the cycles is developed to reduce the loses in the heat and  we applied gasoline and diessel cycle with assumation to study cycles like no fraction in the  fluid and no heat transfer from  the atm to cycle .in the summary of it the Otto cycle is applied in car and other application and it has two kind :2or 4 stokes and it  has a two reversible adiabatic & two reversible isochoric process and the different between perfect and real cycle is the loses by fraction and the time delay between the unlocked and close valves.

 

Introduction(Gas power cycles)

Ø  The apparatus or frameworks applied to make a net power output are often called engines, and the thermodynamic cycles they run on are called power cycles. 


Ø  
 In gas cycles, the runing fluid scraps in the gaseous stage through the inter cycle, where as in vapour cycles the runing fluid exists in the vapour stage during one part of the cycle and in the liquid stage during other part.

Ø  Deal with frameworks that make power in which the runing fluid scraps a gas through the cycle ( in other words, there is no change in stage). 
Spark Ignition (gasoline) motors, Compression ignition (diesel) motors and conventional gas turbine motors (generally refer to as Internal Burning motors or IC Motors) are some examples of motors that run on gas cycles.

Ø  A thermodynamic cycle is a sequence or series of operation performed on a framework, that eventually back up the framework to its original state. Gas power cycles are thermodynamic cycles, which custom air, as the runing fluid. A gas power cycle may contain heat transfer, work transfer, pressure differences, temperature differences, volume differences and entropy differences. In a gas power cycle, the source of heat source and the sink for heat rejection are considered to be out source to the runing fluid.


Ø  Four different kinds of gas power cycles are commonly applied. They are as follows:

1.     Otto Cycle

2.     Diesel Cycle

3.     Dual Cycle

4.     Brayton Cycle


 

While Otto cycle is widely applied in petrol motors, Diesel cycle is applied in Diesel motors. Dual cycle and Brayton cycles are extensively applied in gas turbine motors.(4)

Burning Kind

Cycle/Process

Compression

Heat Addition

Expansion

Heat Rejection

externel

Burning

(Locked Cycle)

Carnot

isentropic

isothermal

isentropic

isothermal

Stirling

isothermal

isometric

isothermal

isometric

Ericsson

isothermal

isobaric

isothermal

isobaric

Rankine (Steam)

adiabatic

isobaric

adiabatic

isobaric

Stoddard

adiabatic

isobaric

adiabatic

isobaric

Internal Burning

(Unlocked Cycle)

Lenoir

none

isometric

isentropic

isobaric

Otto (Petrol)

adiabatic

isometric

adiabatic

isometric

Atkinson

adiabatic

isometric

adiabatic

isometric

Miller

adiabatic

isometric

adiabatic

isometric

Diesel

adiabatic

isobaric

adiabatic

isometric

Brayton (Jet)

adiabatic

isobaric

adiabatic

isobaric


 Heat engine analsis


The heat cycle contants three or more basic thermodynamic basic operation, typically four, to transform the state of the runing fluid and return it to its original state. These are; compression, heat addition, expansion and heat rejection and each of these operation can be carried out under one or more of the following conditions: (8)

·        Isothermal - At fixed temperature, maintained with heat added or removed from a heat source or sink

·        Isobaric - At fixed pressure

·        Isometric / Isochoric / Iso-volumetric - At fixed volume

·        Adiabatic - At fixed entropy. No heat is added or removed from the framework. No work done.

·        Isentropic At fixed entropy. Reversible adiabatic conditions No heat added or lost. No work done.

 

 

ü The perfectizations and simplifications in the dissection of power cycles:

1. The cycle does not contant any attrition.

2.Therefore, the runing fluid does not test any pressure loses as it flows in tubes or apparatus such as heat exchangers.

3. All expansion and compression operationtake place in a quasi-balance manner.

4. The tubes connecting the various components of a framework are well

insulated, and heat transfer through them is negligible. (1)

ü Air-standard assumption

 

Ø  Internal burning motor runs on an unlocked cycle since its runing fluid is thrown out of the motor at some point instead of being returned to its initial state. That means the runing fluid does not undergo a complete thermodynamic  cycle. A detailed study of the performance of an real gas power cycle is rather complex and accurate modeling of internal burning motors normally contants computer simulation. To conduct elementary thermodynamic  analyses of internal burning motors, considerable simplification is required. To simplify the dissection, air-standard assumptions are made: (1). (11)

·        Gas and air mixture are modeled as air and an perfect gas, which continuously circulates in a locked cycle. Thus, there are no intake and exhaust operation.

·        All the operation making up the cycle are internally reversible.

·        The burning process is replaced by a heat-addition process from an out source.

·        The exhaust process is replaced by a heat-rejection process and the gas back up to its initial state.

Ø  In addition, if specific heats are assumed fixeds at their ambient temperature, this assumption is called a cold air-standard assumption. (1)

OTTO CYCLE

Ø  It is also called as fixed volume cycle becacustom heat is supplied and rejected at fixed volume.


Ø  Nicholas-A-otto,a german motorer developed the first cycle which is first successful motor runing on this cycle. So it is called as otto cycle(4).

This cycle consists of the two reversible adiabatic & two reversible isochoric process(3)

Ø  The Otto cycle is the standard unlocked cycle applied in the four-stroke petrol (gasoline) fuelled internal burning motor using spark ignition. It is described in detail in the section on Piston Motors.

 

 

 

 

 

The Otto cycle customs the following operation

Change

of State

Otto Heat Cycle Operation

1 to 2

Compression Stroke. Adiabatic compression of air / fuel mixture in the cylinder

2 to 3

Ignition of the compressed air / fuel mixture at the top of the compression stroke while the volume is essentially fixed.

3 to 4

Expansion (Power) Stroke. Adiabatic expansion of the hot gases in the cylinder.

4 to 1

Exhaust Stroke Ejection of the spent, hot gases .

Induction Stroke Intake of the next air charge into the cylinder. The volume of exhaust gasses is the same as the air charge.

The valvesTiming Diagram of a 4 Stroke Otto Cycle engine(10)

Ø  In this motor, the inlet sluice unlocked during the suction stroke and the exhaust sluice unlocked during the exhaust stroke. The exact movement at which each of the sluices unlocked and locked with reference to the position of piston and crank can be shown graphically in a diagram. This diagram is known as a sluice timing diagram.

Ø  Theoretically, the inlet sluice unlocked exactly at the startning of the suction stroke and locked at the end of the stroke. Both the sluices scrap locked during compression and power strokes. The exhaust sluice unlocked exactly at the startning of exhaust stroke and locked at the end of the stroke. the theoretical sluice timing diagram for a four-stroke Otto cycle motor.

Unlocking and Locking of valves During 4 Strokes

Ø  The unlocking and locking of sluice with reference to the position of piston and crankshaft during the four strokes are described as follows:

1.      Suction Stroke: The inlet sluice unlocked. The piston starts to move downward from top dead centre (TDC) position and reaches to bottom dead centre (BDC) position. A fresh charge of air-fuel mixture enters the cylinder. The exhaust sluice scraps locked.

2.     Compression Stroke: Both the sluices scrap locked. The piston starts to move upward from B.D.C, thus compressing the charge until it reaches the T.D.C.

3.     Runing Stroke: Both the sluices locked. Sparking takes place from the spark plug with ignites the compressed charge. The piston moves downward from T.D.C and reaches to B.D.C.

4.     
Exhaust Stroke: The exhaust stroke unlocked. The piston moves from B.D.C. and reaches to T.D.C. thus rushing out the burnt gases from the cylinder. The inlet sluice scraps locked.

In real practice, the above cycle is slightly modified. The exact moments of unlocking and locking the sluices with reference to the piston and crankshaft are shown in the figure. This diagram is known as the real sluice timing diagram.

Inlet valves and Exhaust Sluices

Inlet Sluice

Ø  The inlet sluice starts unlocking 10° to 30° before T.D.C. as measured in degrees of crankshaft rotation. It scraps unlocked during 180° of the normal suction stroke and, in addition, 30° to 40° or even 60° after B.D.C., at the startning of the compression stroke.

Ø  The reason for unlocking the inlet sluice before the starts of suction stroke is that the sluice is made to unlocked and close very slowly, and this timing of unlocking the sluice is permited to unlocked sufficiently during the suction stroke.

Ø  The sluices are arranged to unlocked and close slowly to provide silent operation under high-speed conditions. The column of charge in the inlet tubes requires to be accelerated before the suction stroke starts, so that sufficient charge may enter the cylinder during the suction stroke.

Runing of Inlet valves

Ø  As the piston moves downward during the suction stroke, the pressure decreases inside the cylinder which cacustoms the gases to rush in and fill up space above the piston. The pistons reach at the end of the stroke before a complete charge has time to enter through the small inlet sluice unlocking.

Ø  Therefore pressure in the burning space will still be below atmospheric, and the gases will be moving in the direction of the motion of the piston with high velocity. If the inlet sluice is locked at this point so that no more charge enters, less charge will scrap in the cylinder.

Ø Thus, the inlet sluice is made to scrap unlocked until the piston reaches a point in its next stroke at which the pressure in the cylinder equals the pressure outside. Also, the real locking point of the sluice coincides with the point when the motion of the rushing charge would reverse the direction. (10)

Timing Data of The Inlet valves

Ø  
The figure shows timing data of the inlet sluice for a popular motor. In this motor, the inlet sluice starts to unlocked 5° before top dead centre. This pre-admission allows the sluice to be unlocked during 5° of the exhaust stroke ( the preceding stroke).

Ø  It scraps unlocked during the 180° of the normal suction stroke, and addition, during 44° of the startning of the compression stroke. This gives a total inlet sluice unlocking of 229°of crankshaft rotation.

Exhaust valves(10)

Ø  The exhaust sluice starts unlocking 30° to 60° before B.D.C., scraps unlocked during 180° of the normal exhaust stroke, and in addition, 8° to 10° or even 25° after T.D.C. at the startning of the suction stroke. The reason for unlocking the exhaust sluice before the start of the exhaust stroke is that the gases have an outlet for expansion to start to rush of their own pressure.

Ø  This removes the greater part of the gases reducing the amount of the work to be done by the piston on its return stroke. This reduction compensates the waste due to the early release of gases. During the next outward stroke, the scraping gases are forced out through the unlocked exhaust sluice. This cacustoms a slight compression of the gases ahead of the piston.

Runing of Exhaust valves

Ø  When it reaches to T.D.C. positions, there will be a certain amount of compressed exhaust gases in the clearance space. If the exhaust sluice is locked at this point, this amount of the exhaust gases will scrap in the cylinder.

1.      Thus, the exhaust sluice is locked a little after, the end of the exhaust stroke. It may result in drawing the exhaust gases back into the cylinder. But this drawing back is prevented by two conditions,

2.      Gases under compression exceed the pressure in the manifold and will continue to flow out becacustom of this difference in pressure.

3.      This piston, while at the top of the stroke, passageways but very little for 10° to 15° movements of the crankshaft. This does not materially rise the burning space as shown in fig.

The crankarm is in a place as at A, for a certain quantity of degrees say 15° movement of the crankshaft, the piston will move rising for a considerable distance. When the crankarms are as at B, for the same 15° rotating of the crankshaft, the distance moved by the piston will be less.


When the crank arms are as at C, for the same 15° turning, there is very little rising movement of the piston. It can be seen that between certain points there is practically no motion of the piston travel in the region is called the rock of the piston. Within the region usually, the exhaust sluice is locked after top dead centre.

Timing Data of The Exhaust valves

Ø  
Shown timing data of the exhaust sluice for a popular motor. In this motor, the exhaust sluice unlocked 47° before bottom bead centre. this pre-release cacustoms the sluice to be  
unlocked during the last 47°of the power stroke.

Ø It scraps unlocked during the 180° of the normal exhaust stroke, and in addition, during 12° of the startning of the suction stroke. This gives a total exhaust sluice unlocking of 239° of crankshaft rotation. (10)

1-Air standard Efficiency, 

                    2- Consider adiabatic expansion 1-2

 

 

 

             

·        where, r = Expansion ratio

 

                    3- Consider adiabatic compression

 

 

 

·        Where r = Compression ratio

 

4-From equation (2) and (3)

Since the right side is the same,

Interchanging terms

 

Substituting the value of T2/T3 in equation 1(7)

 

 



 

 

Relation between Thermal Efficiency and Compression Ratio with k =1.4

 

 

 

Note (4)

Ø It is to be noted that in the theoretical p-v diagram, every corner is sharp which represents the unlocking and locking of the sluice instantaneously. Also, the suction and exhaust take place at atmospheric pressure.

Ø The unlocking and locking of the sluice cannot take place instantaneously but take some time, by which every corner in the p-v diagram will be round, as shown in the real p-v diagram. Also, the suction takes place at a pressure slightly lower than the atmospheric pressure due to the resistance of the inlet sluice of the entering charge. (5)

Ø The exhaust takes place at a pressure slightly higher than the atmospheric pressure due to the resistance of the exhaust sluice to the exhaust gases. This gives an area, in the form of a small loop, and indicates what is called the pumping loss of the motor. This area is treated as negative and hence subtracted from the area of the larger loop which is treated as positive, giving us the network done during the cycle. (5)

 

 

Application of Otto cycle

Ø  The Otto cycle is the thermodynimic model of the spark- excited reciprocating piston internal combustion engine—the type of motor utilized in most petroleum-powered motor vehicles automobiles, motorcycles and small gas engines like lawn mowers.

v Application  to  increase Efficiency  of Otto cycle :-

Ø  Some limitations of maximizing the Otto cycle are just being overcome with the introduction of electronic intake and exhaust valve controls. This removes the dependencies of the valve timing from the camshaft/crankshaft and the mechanical/physical connection between the two so valve timing can be modified for rpm, power, load, etc.. and valve opening and closing can be much faster.

 

Conclusions

  In the end .the gas power cycle is  benefit  for  life and its  developed  many time to the high efficience  , otto cycle is a  gasoline cycle with assumption to make it perfect and must know this assumption and the different between the  real and perfect cycle . 


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