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analysis to derive the 3D-CKP. The solution of this equation is given in
section 4.4. Section 4.5 is kept for the results and discussions.
4.1 Basic Equations
The model is four components dusty plasma consisting of Boltzmann
distributed electrons, nonthermal ions, cold and adiabatic hot dust grains
in a three-dimensional cylindrical coordinates, that is given by
+ ∇( )=0 (4.1.a)
+ ∇( )=0 (4.1.b)
The corresponding momentum equations are,
∙ ¸
+( ∇) − ∇ =0 (4.1.c)
∙ ¸
1
+( ∇) − ∇ + ∇ =0 (4.1.d)
where , , ,and are the perturbed number densities and 0, 0, 0
and 0 are the corresponding equilibrium values for the plasma species.
Also and are the hot and cold dusty plasma velocities, respectively.
is the electrostatic potential and for adiabatic hot dust pressure is
given by equation (2.1.e). The electrons density is given by equation
(2.2.a), and the ion density for nonthemal ions is given by equation (2.5).
Poisson equation reads,
2
∇ =4( − + + ) (4.2)
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