What is the physical significance of nusselt number how is it related with convection and conduction heat transfer hence work out its relationship with the appropriate prameters?

Answer 1

The Nusselt number is the ratio of convective to conductive heat transfer across the boundary layer.

Nu=(hL)/k

h is heat transfer coefficient

L is the characteristic length

k is the thermal conductivity

Answer 2

The Nusselt number represents the ratio of convective to conductive heat transfer in a fluid flow system. It quantifies the enhancement of heat transfer due to convection over conduction. It is defined as the ratio of convective heat transfer coefficient to the conductive heat transfer coefficient multiplied by a characteristic length scale, typically the hydraulic diameter for flow in pipes. The Nusselt number is influenced by the fluid properties (viscosity, thermal conductivity), flow characteristics (velocity, turbulence), and geometry of the system.