Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN: 9781305387102
Author: Kreith, Frank; Manglik, Raj M.
Publisher: Cengage Learning
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A long 8-cm diameter vertical steam pipe whose external surface temperature is 90 degrees C passes through some open area that is not protected against the wind blows. Determine the rate of heat loss from the pipe per unit length when the air is at 1 atm, 7 degrees Celsius and the wind is blowing across the pipe at a velocity of 50 km/h.
From Table A-1:Thermal conductivity, k = 0.0275 W/m degrees Celsius ,viscosity, v = 1.77 x 10^-5 m^2/sPrandtl no. Pr = 0.71
A solid ball is dropped into a water container for cooling. The ball has a diameter of D = 4 mm and sinks at a constant terminal velocity of Ut = 0.01 m/s. The thermophysical properties of the solid ball are: density ρ = 8000 kg/m3, thermal conductivity k = 200 W/m · K, and specific heat c = 1000 J/kg · K. The thermophysical properties of the water are: density ρw = 1000 kg/m3, kinematic viscosity νw = 10^(−6) m^(2)/s, thermal conductivity kw = 0.6 W/m · K, and Prandtl number Pr = 7. The vertical distance for the ball to sink from the initial fully submerged depth to the bottom of the container is H = 0.1 m. The initial temperature of the ball is T0 = 800 K, and the water temperature is T∞ = 300 K.Given correlations: For the convection heat transfer caused by flow past a sphere, the averaged Nusselt number is NuD = 2 + 0.6*(Re^(1/2))*(Pr^(1/3))
Questions:(1) Determine the averaged convection heat transfer coefficient h, and check if the LumpedCapacitance Method can be used to solve…
An expression for the laminar velocity profile on a flat plate is
u=C1sin(C2y)+C3
Where the argument of the sine function is in radians. Using the three common physicalconditions that the velocity profile should satisfy, determine
a) the constants C1, C2, and C3.b) the nondimensional velocity profilec) the boundary thickness (δ/x) as a function of lengthd) the skin friction coefficient, Cf as a function of lengthe) displacement thickness (δ*/x) as a function of lengthf) the momentum thickness (θ/x) as a function of lengthg) the drag force (FD) on both sides of the plate
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