Chapter 6: Problem 41
What is turbulent thermal conductivity? What is it caused by?
Chapter 6: Problem 41
What is turbulent thermal conductivity? What is it caused by?
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Get started for freeHow does turbulent flow differ from laminar flow? For which flow is the heat transfer coefficient higher?
Two metal plates are connected by a long ASTM B 98 copper-silicon bolt. A hot gas at \(200^{\circ} \mathrm{C}\) flows between the plates and across the cylindrical bolt. The diameter of the bolt is \(9.5 \mathrm{~mm}\), and the length of the bolt exposed to the hot gas is \(10 \mathrm{~cm}\). The average convection heat transfer coefficient for the bolt in crossflow is correlated with the gas velocity as \(h=24.6 \mathrm{~V}^{0.62}\), where \(h\) and \(V\) have the units \(\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}\) and $\mathrm{m} / \mathrm{s}$, respectively. The maximum use temperature for the ASTM B98 bolt is \(149^{\circ} \mathrm{C}\) (ASME Code for Process Piping, ASME B31.3-2014, Table A-2M). If the gas velocity is \(10.4 \mathrm{~m} / \mathrm{s}\), determine the minimum heat removal rate required to keep the bolt surface from going above the maximum use temperature.
The upper surface of an ASME SB-96 coppersilicon plate is subjected to
convection with hot air flowing at \(7.5 \mathrm{~m} / \mathrm{s}\) parallel
over the plate surface. The length of the plate is \(1 \mathrm{~m}\), and the
temperature of the hot air is \(200^{\circ} \mathrm{C}\). The ASME Boiler and
Pressure Vessel Code (ASME BPVC.IV-2015, HF-300) limits equipment constructed
with ASME SB-96 plate to be operated at a temperature not exceeding
\(93^{\circ} \mathrm{C}\). In the interest of designing a cooling mechanism to
keep the plate surface temperature from exceeding \(93^{\circ} \mathrm{C}\),
determine the variation of the local heat flux on the plate surface for $0
For steady two-dimensional flow, what are the boundary layer approximations?
Consider a flow over a surface with the velocity and temperature profiles given as $$ \begin{aligned} &u(y)=C_{1}\left(y+y^{2}-y^{3}\right) \\ &T(y)=C_{2}-e^{-2 C_{2} y} \end{aligned} $$ where the coefficients \(C_{1}\) and \(C_{2}\) are constants. Determine the expressions for the friction coefficient \(\left(C_{f}\right)\) and the convection heat transfer coefficient \((h)\).
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