Consider (Figure 6-1) the transfer of heat with a fluid flowing in a cylindrical tube. The inner wall temperature is TO, and the fluid's average temperature is Tb. Equation (6-1) for the system is with AT = (To -Tb) and A = n D L , wall, the total heat flow is given as Furthermore, because the heat flow can be defined by radial conduction at the The above assumes heat is added in the (-Y) direction. Substituting for 4 ' gives Now if we make equation (6-4) dimensionless by defining r* = r / D , z* = z / D , and T* = ( T -To)/(Tb -To), we obtainThe h D / k term is a dimensionless number defined as the Nusselt number. Further analysis shows that the dimensionless temperature is a function of various groups including I-*, 8, z*, the Reynolds number, Re, the Brinkman number, Br (Example 5-6), and another dimensionless group the Prandtl number, Pr. CP P r = ___ k