The rate of heat transfer from a vertical plate by natural convection depends upon the temperature differences (?T) between wall and outside bulk. The proportionality is given as A)(?T) ^1/4 B)(?T) ^1/2 C)(?T) ^5/4 D)(?T) ^3/4

Question

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The rate of heat transfer by natural convection from a vertical plate is proportional to the temperature difference ($\Delta T$) raised to the power of $1/4$, which is represented as $\Delta T^{1/4}$. This is a result of the Grashof number (which is a dimensionless number describing the ratio of buoyancy to viscous forces in a fluid) being proportional to $\Delta T$, and the Nusselt number (which represents the ratio of convective to conductive heat transfer) being proportional to the Grashof number raised to the $1/4$ power in natural convection scenarios.

The Rate of Heat Transfer from a Vertical Plate by Natural