00:02
Hi, let flow direction be x.
00:06
For parallel flow v is equal to 0.
00:09
Continuity equation is dou u by dou x plus dou v by dou y is equal to 0.
00:19
That is dou u by dou x is equal to 0 which implies u is equal to u of y.
00:30
That is dou p by dou x is equal to 0 where x is the momentum.
00:37
Thus p into u of dou u by dou x plus v into dou u by dou y is equal to mu into dou square u by dou y square minus dou p by dou x which implies dou square u by dou y square is equal to 0.
01:03
On integrating twice we will obtain u of y is equal to c1 y plus c2.
01:15
Applying boundary conditions u of 0 is equal to 0 and u of l is equal to v.
01:24
Thus u of y is equal to y by l into p which is the velocity distribution.
01:32
Taking energy 0 is equal to k into dou square t by dou y square plus mu into dou y dou u by dou y the whole square which is equal to k into d square dt by dou y square is equal to minus mu into dou u by dou y which is written as k into dou square t by dou y square.
02:09
Is equal to minus mu into v by l the whole square...