Question:

The convective heat transfer coefficient mainly depends on:

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Logic Tip: Blowing harder on hot soup (increasing fluid velocity) cools it faster because you are increasing the convective heat transfer coefficient '$h$'. The properties of the fluid (air vs. water) also massively change how fast it cools.
  • Fluid velocity and properties
  • Surface roughness only
  • Temperature difference only
  • Thermal conductivity of solid
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The Correct Option is A

Solution and Explanation

Concept:
Convection is the transfer of heat between a solid surface and an adjacent moving fluid (liquid or gas). The rate of this transfer is governed by Newton's Law of Cooling ($Q = hA\Delta T$), where '$h$' is the convective heat transfer coefficient.

Step 1:
Unlike thermal conductivity ($k$), which is a strict physical property of a solid material, the convective coefficient ($h$) is a flow property. It describes the complex interaction at the boundary layer between the solid and the fluid.

Step 2:
How well a fluid can absorb and carry away heat depends heavily on its intrinsic properties: density ($\rho$), dynamic viscosity ($\mu$), specific heat ($C_p$), and thermal conductivity ($k_{fluid}$).

Step 3:
How fast the fluid is moving (Velocity, $V$) dictates how quickly fresh, cool fluid replaces heated fluid at the surface. Faster flow creates a thinner boundary layer, drastically increasing '$h$'.

Step 4:
* While surface roughness can affect turbulence (and thus '$h$'), it is not the main or only factor. * Temperature difference ($\Delta T$) is the driving force for heat rate ($Q$), not the determining factor for the coefficient '$h$' itself. * The thermal conductivity of the solid governs conduction inside the wall, not convection outside it.
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