Consider airflow over a flat plate of length $L=2\mathrm{.}4m$ under conditions for which transition occurs at $x_c=1\mathrm{.}2m$ based on the critical Reynolds number, $R{e}_{x,c}=5{10}^5.$

$($a$)$ Evaluating the thermophysical properties of air at $350K,$ determine the air velocity, in $\frac{m}{s}.$

$($b$)$ In the laminar and turbulent regions, the local convection coefficients are, respectively, $h_{\text{l}\text{a}\text{m}}(x)=C_{\text{l}\text{a}\text{m}}{x}^{-0\mathrm{.}5}$ and $h_{\text{t}\text{u}\text{r}\text{b}}=C_{\text{t}\text{u}\text{r}\text{b}}{x}^{-0\mathrm{.}2},$ where, at $T=350K,C_{\text{l}\text{a}\text{m}}=8\mathrm{.}845\frac{W}{m^{\frac{3}{2}}}*K,C_{\text{t}\text{u}\text{r}\text{b}}=49\mathrm{.}75\frac{W}{m^{1\mathrm{.}8}}*K,$ and $x$ has units of m$.$ Develop an expression for the average convection coefficient, $\frac{?}{\text{b}\text{a}\text{r}}(h{)}_{\text{l}\text{a}\text{m}}(x),$ as a function of distance from the leading edge, $x,$ for the laminar region, $0x{x}_c.$ Develop an expression for the average convection coefficient, $\frac{?}{\text{b}\text{a}\text{r}}(h{)}_{\text{t}\text{u}\text{r}\text{b}}(x),$ as a function of distance from the leading edge, $x,$ for the turbulent region, $x_{c}xL.$ Use these two expressions to determine the local and average convection coefficients, $h_x$ and $\frac{?}{\text{b}\text{a}\text{r}}(h{)}_x,$ in $\frac{W}{m^2}*K,$ at $x=x_c$ and $x=L.$

Part A

Evaluating the thermophysical properties of air at $350K,$ determine the air velocity, in $\frac{m}{s}.$

$u_{}=\sqrt[\phantom{2}]{5}\frac{m}{s}$

Attempts: $0$ of $1$ used

Part B

The parts of this question must be completed in order. This part will be available when you complete the part above.