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Y
pendicular to the flat plate. v is the velocity in y coodinate. The flat
plate is located in uniform flow field of which velocity is denoted by u..
The flat plate is parallel to the flow direction. Furthermore, it is
assumed that steady state flow field around the flat plate is established.
The temperature of bulk fluid is uniform and denoted by T .. The effects
of compressibility of fluid and bouyancy force are neglected. At the time
t = 0, exponentially increasing heat flux, q = q0 exp(wt), is-applied to
the surface of the flat pIat.e irrespective of x coordinate. In this case,
the equations of continuity, momentum and energy are given by
2
Continuity;2x+v= 0(1)
Momemtum;u--3
3u 3u 92u
x+y= v--(2)
Energy;a x+ uaX+ vayaay-(3)
The boundary conditions for these equations are given by
11-57i -= Tw(4)
y-o
aayI= 0 ( t < o )
y=0wt(5)
=q 0e (t>0')
Tl x=m = Too(6)
Tl x=o= Tco•(7)
TIt=0 = T(8)
Here, v and a are kinematic viscosity and thermal diffusivity of fluid
p and X are viscosity and thermal conductivity of fluid, respectively .
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