For liquid metals with Prandtl numbers much less the unity, the hydrodynamic boundary layer is much thinner than the thermal boundary layer. As a result, one may assume that the velocity in the boundary layer is uniform [u = U?? and v = 0]. Starting with equation (4.7b), show that the energy equation and its boundary condition are analogous to those for a semi-infinite slab with a sudden change in surface temperature (see Equation (2.105)). Then show that the local Nusselt number is given byNux = 0.565 (Rex Pr)0.5Compare this relation with the equation for liquid metals in Table 4.5.GIVENLiquid metal flowing over a flat plateASSUMPTIONSSteady stateUniform velocity in the boundary layer: u = U??, v = 0Mercury is at room temperature(20?C)

Llguld Metal U. .