1.  직교좌표계(rectangular coordinates : x, y, z)

 

◈  x - 성분(component)

 

(1)

 

◈  y - 성분(component)

 

(2)

 

◈  z - 성분(component)

 

(3)

 

 

밀도(ρ)와 점도(μ)가 일정한 Newtonian 흐름의 경우  :

 

◈  x - 성분(component)

 

(4)

 

◈  y - 성분(component)

 

(5)

 

◈  z - 성분(component)

 

(6)

 

 

 

 

  2.  원통좌표계(cylindrical coordinates : r, θ, z)

 

◈  r - 성분(component)

 

(7)

 

◈  θ - 성분(component)

 

(8)

 

◈  z - 성분(component)

 

             

(9)

 

 

밀도(ρ)와 점도(μ)가 일정한 Newtonian 흐름의 경우  :

 

◈  r - 성분(component)

 

  

(10)

 

◈  θ - 성분(component)

 

(11)

 

◈  z - 성분(component)

 

                           

(12)

 

 

 

 

  3.  구좌표계(spherical coordinates : r, θ, φ)

 

◈  r - 성분(component)

 

                                                               

(13)

 

◈  θ - 성분(component)

 

                                                  

            

(14)

 

◈  φ - 성분(component)

 

                                               

    

(15)

 

 

밀도(ρ)와 점도(μ)가 일정한 Newtonian 흐름의 경우  :

 

◈  r - 성분(component)

 

                                                                                            

                               

(16)

 

◈  θ - 성분(component)

 

                                                                                 

             

(17)

 

◈  φ - 성분(component)

 

                                                                              

(18)

 

 

 

 

  4.  응력 텐서(stress tensor : τ)

 

 

  직교좌표(rectangular coordinates : x, y, z)

 

(19)

 

 

(20)

 

 

(21)

 

 

(22)

 

 

(23)

 

 

(24)

 

 

    

(25)

 

 

  원통좌표(cylindrical coordinates : r, θ, z)

 

              

(26)

 

 

(27)

 

 

              

(28)

 

 

     

(29)

 

 

             

(30)

 

 

                

(31)

 

 

         

(32)

 

 

  구좌표(spherical coordinates : r, θ, φ)

 

                                      

(33)

 

 

                       

(34)

 

 

(35)

 

 

                            

(36)

 

 

         

(37)

 

 

                    

(38)

 

 

 

(39)

 

 

 

 

  5.  소멸함수(dissipation function : )

 

  직교좌표(rectangular coordinates : x, y, z)

 

        

                                          

(40)

 

 

  원통좌표(cylindrical coordinates : r, θ, z)

 

        

                                            

(41)

 

 

  구좌표(spherical coordinates : r, θ, φ)

 

       

                                                         

(42)

 

 

 

 

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