The local heat transfer coefficient for laminar flow over a flat plate h_x

audioblogn8ci

audioblogn8ci

Answered question

2023-02-18

The local heat transfer coefficient for laminar flow over a flat plate h x is known to vary as x 1 / 2 , where x is the distance from the leading edge of the plate. The ratio of the average coefficient between the leading edge and some location x = L on the plate to the local coefficient at x = L, is
1) 3/2
2) 2
3) 2/3
4) 1/2

Answer & Explanation

Kaylee Rhodes

Kaylee Rhodes

Beginner2023-02-19Added 4 answers

The correct answer is 2
h x α x 1 / 2 h x = c x 1 / 2
Average heat transfer coefficient ( h ¯ ) = 1 L O L h x d x
= 1 L 0 L c x 1 / 2 d x
= 1 L C ( x 1 / 2 + 1 1 2 ) O L
= 2 c L [ x 1 / 2 ] 0 L
= 2 c L [ x 1 / 2 O ]
= 2 c . L 1 / 2
At location 'L'
h ¯ h x = L = 2 c L 1 / 2 c L 1 / 2 = 2
h ¯ h x = 2

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