For fully turbulent flow in a long tube of diameter D, develop a relation between the ratio

Question:

For fully turbulent flow in a long tube of diameter D, develop a relation between the ratio (L/??T)/D in terms of flow and heat transfer parameters, where L/??T is the tube length required to raise the bulk temperature of the fluid by ??T. Use Equation 6.63 for fluids with Prandtl number of the order of unity or larger and Equation 6.75 for liquid metals.GIVENFully developed turbulent flow in a long tubeDiameter = DL/??T = Tube length required to raise the bulk temperature by ??TASSUMPTIONSSteady stateConstant fluid propertiesUniform walltemperatures