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(b) Ground cherries will undergo abscission when the center temperature of the stem reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire extinguisher medium, how long would it take for it to undergo abscission? When they ripen, ground cherry fruits naturally fall off the plant via a process known as abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an enzymatic process, but the release of the enzymes is heavily influenced by temperature. Extremely cold temperatures can cause premature abscission of unripe fruit. Farmer Joe wants to collect and sell as many ripe ground cherries as possible. Unfortunately, the ground cherry plants are located next to the property line, and Farmer Joe's clumsy neighbor inadvertently sprays them with a fire extinguisher when dealing with an out-of-control backyard grill fire. (a) If the entire surface of the ground cherry plant is completely covered by the fire extinguisher medium, estimate the depth into the stem of the fruit that will have changed temperature after 1 second. Some parameters to help your calculations: Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500 kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the temperature of the fire extinguisher medium (-1.6°C).

(b) Ground cherries will undergo abscission when the center temperature of the stem reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire extinguisher medium, how long would it take for it to undergo abscission? When they ripen, ground cherry fruits naturally fall off the plant via a process known as abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an enzymatic process, but the release of the enzymes is heavily influenced by temperature. Extremely cold temperatures can cause premature abscission of unripe fruit. Farmer Joe wants to collect and sell as many ripe ground cherries as possible. Unfortunately, the ground cherry plants are located next to the property line, and Farmer Joe's clumsy neighbor inadvertently sprays them with a fire extinguisher when dealing with an out-of-control backyard grill fire. (a) If the entire surface of the ground cherry plant is completely covered by the fire extinguisher medium, estimate the depth into the stem of the fruit that will have changed temperature after 1 second. Some parameters to help your calculations: Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500 kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the temperature of the fire extinguisher medium (-1.6°C).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.10P
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(b) Ground cherries will undergo abscission when the center temperature of the stem reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire extinguisher medium, how long would it take for it to undergo abscission?
Transcribed Image Text:(b) Ground cherries will undergo abscission when the center temperature of the stem reaches 0°C or less. If the stem was initially at 38°C before it was coated in fire extinguisher medium, how long would it take for it to undergo abscission?
When they ripen, ground cherry fruits naturally fall off the plant via a process known as abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an enzymatic process, but the release of the enzymes is heavily influenced by temperature. Extremely cold temperatures can cause premature abscission of unripe fruit. Farmer Joe wants to collect and sell as many ripe ground cherries as possible. Unfortunately, the ground cherry plants are located next to the property line, and Farmer Joe's clumsy neighbor inadvertently sprays them with a fire extinguisher when dealing with an out-of-control backyard grill fire. (a) If the entire surface of the ground cherry plant is completely covered by the fire extinguisher medium, estimate the depth into the stem of the fruit that will have changed temperature after 1 second. Some parameters to help your calculations: Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500 kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the temperature of the fire extinguisher medium (-1.6°C).
Transcribed Image Text:When they ripen, ground cherry fruits naturally fall off the plant via a process known as abscission, in which the cylindrical stem of the fruit detaches from the plant. Abscission is an enzymatic process, but the release of the enzymes is heavily influenced by temperature. Extremely cold temperatures can cause premature abscission of unripe fruit. Farmer Joe wants to collect and sell as many ripe ground cherries as possible. Unfortunately, the ground cherry plants are located next to the property line, and Farmer Joe's clumsy neighbor inadvertently sprays them with a fire extinguisher when dealing with an out-of-control backyard grill fire. (a) If the entire surface of the ground cherry plant is completely covered by the fire extinguisher medium, estimate the depth into the stem of the fruit that will have changed temperature after 1 second. Some parameters to help your calculations: Fruit stems are cylinders 2-mm in diameter and 30-mm long (L~). The thermal conductivity of the stem is 0.06 W/m K, the specific heat capacity is 1000 J/kg-K, and the density is 500 kg/m³. Assume that the temperature at the surface of the stem instantaneously drops to the temperature of the fire extinguisher medium (-1.6°C).
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