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Answered: - In order to stay warm, divers often wear some sort of thermal


In order to stay warm, divers often wear some sort of thermal protection, like a "wetsuit". Often this is a neoprene "foamed" material, which traps gas bubbles as the insulating material. For this problem, assume:

  • the thermal conductivity is that of air (? = 0.03 W/m-K)
  • the suit thickness is d = 1.5 mm
  • the area of the suit is A ~2 m2
  • the diver's initial body temperature is Td,i?= 37?C (98.6?F)
  • the water temperature is Tw?= 5?C
  • the diver "weighs" m = 70 kg
  • the specific heat of the diver is cd?= 3480 J/kg-K (this is slightly less than the specific heat of water 4184 J/kg-K due to the presence of protein, fat, and minerals)
  • the?diver?will?start?to?experience?loss?of?motor?skills?due?to?hypothermia?when?his?core?temperature?cools?to?below?Td,f?=?35?C?(95?F).????(Note:?Throughout?this?problem?we?are?also?implicitly?assuming?that?the?diver?is?at?a?uniform?temperature,?which?obviously?is?an?over-simplification?[since?our?bodies?are?evolutionarily?engineered?to?maintain?a?stable?core?temperature,?even?if?we?have?cold?limbs...].)


1) What is the thermal resistance of the suit??

Rsuit?=


2) What is the heat capacity of the diver?

Cdiver?=


3)?What is the total amount of heat flow needed to change the diver's temperature from 37?C to 35?C?

 


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Oct 07, 2020

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