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The convective heat transfer coefficient from a hot cylindrical surface exposed to still air varies in accordance with 
Where ΔT is the temperature difference between the hot surface and surrounding ambient air.
  • a)
    (ΔT)0.25
  • b)
    (ΔT)0.5
  • c)
    (ΔT)0.75
  • d)
    (ΔT)1.25
Correct answer is option 'A'. Can you explain this answer?
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Is h: convective heat transfer coefficient (W/m^2·K)
k: thermal conductivity of the fluid (W/m·K)
Nu: Nusselt number (dimensionless)
D: diameter of the cylinder (m)
L: characteristic length of the cylinder (e.g. diameter or length) (m)
Pr: Prandtl number (dimensionless)
Re: Reynolds number (dimensionless)
μ: dynamic viscosity of the fluid (Pa·s)
v: velocity of the fluid (m/s)
c: specific heat capacity of the fluid (J/kg·K)
ρ: density of the fluid (kg/m^3)
β: thermal expansion coefficient of the fluid (1/K)
g: acceleration due to gravity (m/s^2)
ΔT: temperature difference between the surface and the fluid (K)
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