Effect of Local Prandtl Numbers on Wall Temperature Gradient

Abstract

For investigation of effect of local Prandtl numbers on wall similarity gradient, in this chapter the work on step 2 is performed for obtaining the system of data on coefficients and exponents ${a}_{1}$, ${b}_{1}$, ${a}_{2}$ and ${b}_{2}$ respectively at different value of local mixed convection parameter $Mc_{x,\infty }$. The coefficients and exponents ${a}_{1}$, ${b}_{1}$, ${a}_{2}$ and ${b}_{2}$ are rigorously obtained with the optimal curve-fitting approach based on the system of the data on coefficient a and exponent b. On this basis, the coefficients and exponents ${a}_{1}$, ${b}_{1}$, ${a}_{2}$ and ${b}_{2}$ are attributed to the function of the local mixed convection parameter $Mc_{x,\infty }$ respectively. In the next Chapter, our work will focus on investigation of correlation equations of the coefficients and exponents ${a}_{1}$, ${b}_{1}$, ${a}_{2}$ and ${b}_{2}$ with variation of the local mixed convection parameter $Mc_{x,\infty }$ respectively.