Nusselt number (Nu) is a dimensionless number used in heat transfer calculations to determine the convection heat transfer coefficient. It relates the convective heat transfer rate to the conductive heat transfer rate.

In the case of steady, uniform flow through pipes with constant heat flux supplied to the wall, the value of the Nusselt number can be determined using the Dittus-Boelter equation. This equation is applicable for fully developed, turbulent flow in a circular pipe with a constant heat flux boundary condition.

The Dittus-Boelter equation is given by:

Nu = 0.023 * Re^0.8 * Pr^0.4

Where:
Nu is the Nusselt number
Re is the Reynolds number, which is a dimensionless number representing the ratio of inertial forces to viscous forces and is given by:
Re = (ρ * V * D) / μ
ρ is the density of the fluid
V is the velocity of the fluid
D is the diameter of the pipe
μ is the dynamic viscosity of the fluid
Pr is the Prandtl number, which is a dimensionless number representing the ratio of momentum diffusivity to thermal diffusivity and is given by:
Pr = μ * Cp / k
Cp is the specific heat capacity of the fluid
k is the thermal conductivity of the fluid

For fully developed, turbulent flow in a circular pipe, the Reynolds number can be approximated as Re ≈ 4,000.

Substituting the values into the Dittus-Boelter equation, we have:

Nu = 0.023 * (4,000)^0.8 * Pr^0.4

The value of Pr depends on the fluid properties and is typically given. For most gases and liquids, Pr is around 0.7 to 10.

Therefore, the value of the Nusselt number for steady, uniform flow through pipes with constant heat flux supplied to the wall is approximately 48/11, which corresponds to option A.