Consider a large vertical plate with a uniform surface temperature of 100°C suspended in quiescent air at 25°C and atmospheric p
ressure. (a) Estimate the boundary layer thickness at a location 0.28 m measured from the lower edge. (b) What is the maximum velocity in the boundary layer at this location and at what position in the boundary layer does the maximum occur? (c) Using the similarity solution result, Equation 9.19, determine the heat transfer coefficient 0.25 m from the lower edge. (d) At what location on the plate measured from the lower edge will the boundary layer become turbulent?
1 answer:
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Answer:
A) Rate of heat addition = 228.53 Hp
B) Maximum Air temperature = 1109 °C
Explanation:
We are given;
Cut off ratio; r_c = 1.5
Compression ratio; r = 18
Power produced; W` = 150 Hp
cp = 1.005 kJ/kg·K
cv = 0.718 kJ/kg·K
R = 0.287 kJ/kg·K
k = 1.4
Temperature;T1 = 17°C = 17 + 273 K = 290K
I've attached the rest of the explanation below.
Answer:
stress = 38.84 MPa
Explanation:
Answer:
The stress in the bar is 34.72 MPa.
The design factor (DF) for each case is:
A) DF=0.17
B) DF=0.09
C) DF=0.125
D) DF=0.12
E) DF=0.039
F) DF=1.26
G) DF=5.5
Explanation:
The design factor is the relation between design stress and failure stress. In the case of ductile materials like metals, the failure stress considered is the yield stress. In the case of plastics or ceramics, the failure stress considered is the breaking stress (ultimate stress). If the design factor is less than 1, the structure or bar will endure the applied stress. By the opposite side, when the DF is higher than 1, the structure will collapse or the bar will break.
we will calculate the design stress in this case:
The design factor for metals is:
The design factor for plastic and ceramics is:
We now need to know the yield stress or the ultimate stress for each material. We use the AISI and ASTM charts for steels, materials charts for non-ferrous materials and plastics safety charts for the plastic materials.
For these cases:
A) The yield stress of AISI 120 hot-rolled steel (actually is AISI 1020) is 205 MPa, therefore:
B) The yield stress of AISI 8650 OQT 1000 steel is 385 MPa, therefore:
C) The yield stress of ductile iron A536-84 (60-40-18) is 40Kpsi, this is 275.8 MPa, therefore:
D) The yield stress of aluminum allot 6061-T6 is 290 MPa, therefore:
E) The yield stress of titanium alloy Ti-6Al-4V annealed (certified by manufacturers) is 880 MPa, therefore:
F) The ultimate stress of rigid PVC plastic (certified by PVC Pipe Association) is 4Kpsi or 27.58 MPa, therefore:
In this case, the bar will break.
F) You have to consider that phenolic plastics are used as matrix in composite materials and seldom are used alone with no reinforcement. In this question is not explained if this material is reinforced or not, therefore I will use the ultimate stress of most pure phenolic plastics, in this case, 6.31 MPa:
This material will break.