The surface of a radiation shield facing a black hot wall at 400 K has a reflectivity of 0.95. Attached to the back side of the shield is a 25-mm-thick sheet of insulating material having a thermal conductivity of 0.016 W/m ⋅ K . The overall heat transfer coefficient (convection and radiation) at the surface exposed to the ambient air and surroundings al 300 K is 10 W/m 2 ⋅ K . (a) Assuming negligible convection in the region between the wall and the shield, estimate the heat loss per unit area from the hot wall. (b) Perform a parameter sensitivity analysis on the insulation system, considering the effects of shield reflectivity, ρ s , and insulation thermal conductivity, k . What influence do these parameters have on the heat loss from the hot wall? What is the effect of an increased overall coefficient on the heal loss? Show the results of your analysis in a graphical format.
The surface of a radiation shield facing a black hot wall at 400 K has a reflectivity of 0.95. Attached to the back side of the shield is a 25-mm-thick sheet of insulating material having a thermal conductivity of 0.016 W/m ⋅ K . The overall heat transfer coefficient (convection and radiation) at the surface exposed to the ambient air and surroundings al 300 K is 10 W/m 2 ⋅ K . (a) Assuming negligible convection in the region between the wall and the shield, estimate the heat loss per unit area from the hot wall. (b) Perform a parameter sensitivity analysis on the insulation system, considering the effects of shield reflectivity, ρ s , and insulation thermal conductivity, k . What influence do these parameters have on the heat loss from the hot wall? What is the effect of an increased overall coefficient on the heal loss? Show the results of your analysis in a graphical format.
Solution Summary: The author explains how to perform the energy balance on shield and the wall.
The surface of a radiation shield facing a black hot wall at 400 K has a reflectivity of 0.95. Attached to the back side of the shield is a 25-mm-thick sheet of insulating material having a thermal conductivity of
0.016
W/m
⋅
K
. The overall heat transfer coefficient (convection and radiation) at the surface exposed to the ambient air and surroundings al 300 K is
10
W/m
2
⋅
K
. (a) Assuming negligible convection in the region between the wall and the shield, estimate the heat loss per unit area from the hot wall. (b) Perform a parameter sensitivity analysis on the insulation system, considering the effects of shield reflectivity,
ρ
s
, and insulation thermal conductivity, k. What influence do these parameters have on the heat loss from the hot wall? What is the effect of an increased overall coefficient on the heal loss? Show the results of your analysis in a graphical format.
Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz Figure 1: Single-degree-of-freedom system in Problem 1. Please compute the following considering the steady-state response of the SDOF system. Do not consider the transient response unless it is explicitly stated in the question. (a) The natural circular frequency and the natural period of the SDOF. (10 points) (b) The maximum displacement of…
Assume a Space Launch System (Figure 1(a)) that is approximated as a cantilever undamped single degree of freedom (SDOF) system with a mass at its free end (Figure 1(b)). The cantilever is assumed to be massless. Assume a wind load that is approximated with a concentrated harmonic forcing function p(t) = posin(ωt) acting on the mass. The known properties of the SDOF and the applied forcing function are given below. • Mass of SDOF: m =120 kip/g • Acceleration of gravity: g = 386 in/sec2 • Bending sectional stiffness of SDOF: EI = 1015 lbf×in2 • Height of SDOF: h = 2000 inches • Amplitude of forcing function: po = 6 kip • Forcing frequency: f = 8 Hz Figure 1: Single-degree-of-freedom system in Problem 1. Please compute the following considering the steady-state response of the SDOF system. Do not consider the transient response unless it is explicitly stated in the question. (a) The natural circular frequency and the natural period of the SDOF. (10 points) (b) The maximum displacement of…
Please solve
13 * √(2675.16)² + (63.72 + 2255,03)² = 175x106
can you explain the process for
getting d seperate thank you
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