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2.2    Geometrical  Properties of Reciprocating Engines
The following parameters define the basic geometry of a reciprocating engine :










where

  Vc   :  is Clearance volume.

  Vd   :  is Displacment or swept volume.

  VL   or  VSis Total  or stroke volume .

  TC   : 
Top Center.

  BC  :  Bottom   Center.


Ratio of cylinder bore to piston stroke :     

                         
Rbs =    B / L

Ratio of connecting rod lenght to crank radius :     

                             
                         
R =  l / a

Also the stroke and crank reduis are related by

                         
L = 2 a

Typical values of these parameters are :
cylinder parameters
The cylinder volume V at any crank postion angle  is   





                                                                                       
An important characteristic speed is the
Mean piston speed Smps :

                                                          
Smps = 2 L N
                                      
Where N is the rotational speed of the crankshaft .



The Instantanous piston velocity sp is obtained from 

                                                      
  sp =  ds / dt

Where S is can br obtained from the following equation " obtained from the upper figure " .

Summery on Geometry of Reciprocating Engines

Compression ratio
  
     It is  8-12 for SI engine
  
     It is  8-12 for CI engine

B / L
   0.8 - 1.2 for small and medium size  
   engines
   Decreasing to about 0.5 for
   large slow - speed CI engine

R
   3 - 4 for small and meduim size engines    Increasing 5-9 for large slow   
   speed  CI  engines
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