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  1. The non-dimensional fluid temperature profile near the surface of a convectively cooled flat plate is given by
    Tω - T
    = a + b
    y
    c +
    y
    ²
    Tω - TLL

    where y is measured perpendicular to the plate, L is the plate length, and a, b and c are arbitrary constants. Tw and T are wall and ambient temperatures, respectively. If the thermal conductivity of the fluid is k and the wall heat flux is q', the Nusselt number
    Nu =
    q"
    L
    is equal to
    Tw - TK
    1. a
    2. b
    3. 2c
    4. (b + 2c)
Correct Option: B

Tω - T
= a +
by
c +
y
²
Tω - TLL

T = Tω + (T - Tω)a +
by
+ c
y
²
LL

q" = -k
dT
= -k(T - Tω)
b
+
2Cy
dyL

at y = 0
⇒ =
q"L
= b = Nu
(T - Tω)k

∴ Nu = b.



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