Page 105 - Aeronautical Engineer Data Book
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82



               A flow described by a unique velocity   The principle of force = mass   acceleration  (Newton’s law of motion) applies to fluids










           Explanation   potential is irrotational.   and fluid particles.








                                     �
    �
                                       ∂x      ∂y
                ∂ 2    +    2  ∂y   X –  ∂p  �
  Y –  ∂p  �

                   = 0 =  ∂ 2    2   ∂x  ∂ 2      2            ∂y             ∂t


           The equation   ∂ 2 
        +  ∂ 2 
  2   2  ∂y  ∂x  or   	 2  
 = 	 2    = 0, where   ∂ 2      +  	 2  =  2  ∂y  ∂x  ∂u  + u  ∂u  + v  ∂u  =  1         ∂x   ∂t   ∂v  + u  ∂v  + v  ∂v  =  1





        Table 5.3 2D flow: fundamental equations   Basis   Laplace’s equation   Equation of motion in 2D
   100   101   102   103   104   105   106   107   108   109   110