The diagram below illustrates a simplified version of the Jet Propulsion Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space probes and their components. In this particular experiment, a sensor assembly with its housing is placed inside. The sensor-housing electronics create heat such that q=3181.0 W exits the assembly's top surface into the chamber. The chamber itself is under vacuum, and its walls are at cryogenic temperatures to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush. The top surface of the chamber, Surface 4, can be approximated as a perfectly insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut- shaped surface. Additional surface information can be seen below, including various parameters and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at steady-state. PARAMETERS & DIMENSIONS Surface 1: A₂ = 7.07 m²; diameter d; = 3 m; Surface 2: A₂=45.74 m²; black surface, &₂ = 1; Surface 3: As = 669.8 m²; diameter ds = 8.2 m; Surface 4: A₁ = 52.8 m²; diameter d = 8.2 m; di-ds 7 35 di &=0.5; q=3181.0 W 7₂ = 100 K L=26m; &=0.9 T=90 K E=0.1; perfectly insulated

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.51P
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Given the information you have for Surface 1, choose the equation
necessary to help solve for the radiosity J1.
(A.)
(B.)
(07₁-1₁)E, A₁
1- &₁
= A₁F₁2 (J₁ − J₂) + A₁F13(J₁ − J3) + A₁F₁4(J1 −14)
9₁ = 3181 W = A₁F₁20/₁ −/2) + A₁F13/1 − J3) + A₁F₁4/1 − J4)
(C.) 9₁-3181 W - A₁F₁202-J₁) + A₁F₁303-J₁) + A₁F₁4U₁J₁)
(D.) ₁ = GT₁
Transcribed Image Text:Given the information you have for Surface 1, choose the equation necessary to help solve for the radiosity J1. (A.) (B.) (07₁-1₁)E, A₁ 1- &₁ = A₁F₁2 (J₁ − J₂) + A₁F13(J₁ − J3) + A₁F₁4(J1 −14) 9₁ = 3181 W = A₁F₁20/₁ −/2) + A₁F13/1 − J3) + A₁F₁4/1 − J4) (C.) 9₁-3181 W - A₁F₁202-J₁) + A₁F₁303-J₁) + A₁F₁4U₁J₁) (D.) ₁ = GT₁
The diagram below illustrates a simplified version of the Jet Propulsion
Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space
probes and their components. In this particular experiment, a sensor assembly with its
housing is placed inside. The sensor-housing electronics create heat such that
q=3181.0 W exits the assembly's top surface into the chamber.
The chamber itself is under vacuum, and its walls are at cryogenic temperatures
to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush.
The top surface of the chamber, Surface 4, can be approximated as a perfectly
insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut-
shaped surface.
Additional surface information can be seen below, including various parameters
and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at
steady-state.
PARAMETERS & DIMENSIONS
Surface 1: A = 7.07 m²; diameter d; = 3 m; &₁ = 0.5;
Surface 2: A₂ = 45.74 m²; black surface, E₂ = 1; T₂ = 100 K
Surface 3: A = 669.8 m²; diameter ds = 8.2 m;
Surface 4: A₁ = 52.8 m²; diameter d = 8.2 m;
d4 = ds
7
6
LN
di
q=3181.0 W
L= 26 m; &=0.9 ; T3=90 K
E= 0.1 perfectly insulated
Transcribed Image Text:The diagram below illustrates a simplified version of the Jet Propulsion Laboratory's 25-ft space simulator chamber. Within it, tests are run for deep space probes and their components. In this particular experiment, a sensor assembly with its housing is placed inside. The sensor-housing electronics create heat such that q=3181.0 W exits the assembly's top surface into the chamber. The chamber itself is under vacuum, and its walls are at cryogenic temperatures to simulate conditions in space. Surfaces 1 and 2 are flat. Assume they are flush. The top surface of the chamber, Surface 4, can be approximated as a perfectly insulated, flat ceiling. The exposed surface of the floor, Surface 2, is a black, donut- shaped surface. Additional surface information can be seen below, including various parameters and dimensions. Assume all surfaces are opaque and diffuse, and conditions are at steady-state. PARAMETERS & DIMENSIONS Surface 1: A = 7.07 m²; diameter d; = 3 m; &₁ = 0.5; Surface 2: A₂ = 45.74 m²; black surface, E₂ = 1; T₂ = 100 K Surface 3: A = 669.8 m²; diameter ds = 8.2 m; Surface 4: A₁ = 52.8 m²; diameter d = 8.2 m; d4 = ds 7 6 LN di q=3181.0 W L= 26 m; &=0.9 ; T3=90 K E= 0.1 perfectly insulated
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