B-The equation of motion of spherical bubble growing freely in an inviscid Iquid is given a as follows: Vb(P₁-Pg)g-d/dt (V₁(Pg-0.5p)dz/dt) Where V, is the bubble volume, z is an axial coordinate and t is time. If the bubble grows according to the equation :V₁-At" where (A )and (a )are constant and p<

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B-The equation of motion of spherical bubble growing freely in an inviscid Iquid is
given a as follows:
Vo(P₁-Pg)g-d/dt (Vb(Pg-0.5p)dz/dt)
Where V, is the bubble volume, z is an axial coordinate and t is time.
If the bubble grows according to the equation :V₁, At" where (A )and (a )are constant
and p<<p ,show that the distance to center has gone after time t is;
Z-(1/(a+1))gt²
(²+1) ) 9t²
Transcribed Image Text:B-The equation of motion of spherical bubble growing freely in an inviscid Iquid is given a as follows: Vo(P₁-Pg)g-d/dt (Vb(Pg-0.5p)dz/dt) Where V, is the bubble volume, z is an axial coordinate and t is time. If the bubble grows according to the equation :V₁, At" where (A )and (a )are constant and p<<p ,show that the distance to center has gone after time t is; Z-(1/(a+1))gt² (²+1) ) 9t²
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